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randcopoly

This folder contains Matlab scripts to calculate and plot the structure factor and spinodal decomposition of an A-B semiflexible random copolymer based on a polymer field theoretic formulation [1].
For a given chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM, this package calculates the melt structure factor (density-density correlations), the spinodal Flory-Huggins parameter χS, and critical wavemode of phase segregation q*. The folder "functions" provides functions s2invwlc and kmaxwlc that calculate the structure factor of semiflexible (wormlike chain model) random copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc). Similar codes can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc) and for perfectly rigid random copolymers (s2invrr and kmaxrr).

This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]

Installation

Open Matlab and change directory to randcopoly. Then add the folder functions to path with

addpath('functions')

Example Usage

Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.

% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])

As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows

% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')

[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).

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randcopoly
This folder contains Matlab scripts to calculate and plot the
structure factor and spinodal decomposition of an A-B semiflexible random copolymer based
on a polymer field theoretic formulation [1].

For a given
chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM,
this package calculates the melt
structure factor (density-density correlations),
the spinodal Flory-Huggins parameter χS,
and critical wavemode of phase segregation q*.
The folder "functions" provides functions s2invwlc and kmaxwlc that
calculate the structure factor of semiflexible (wormlike chain model) random
copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc).
Similar codes
can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc)
and for perfectly rigid random copolymers (s2invrr and kmaxrr).
This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]
Installation
Open Matlab and change directory to randcopoly. Then add the folder functions to path with
addpath('functions')
Example Usage
Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.
% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])
As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows
% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')
[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).
About
Use polymer field theory to find phase behavior of random copolymers, with different chemical and structural correlations
Resources
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Custom properties
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randcopoly
This folder contains Matlab scripts to calculate and plot the
structure factor and spinodal decomposition of an A-B semiflexible random copolymer based
on a polymer field theoretic formulation [1].

For a given
chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM,
this package calculates the melt
structure factor (density-density correlations),
the spinodal Flory-Huggins parameter χS,
and critical wavemode of phase segregation q*.
The folder "functions" provides functions s2invwlc and kmaxwlc that
calculate the structure factor of semiflexible (wormlike chain model) random
copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc).
Similar codes
can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc)
and for perfectly rigid random copolymers (s2invrr and kmaxrr).
This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]
Installation
Open Matlab and change directory to randcopoly. Then add the folder functions to path with
addpath('functions')
Example Usage
Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.
% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])
As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows
% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')
[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).
About
Use polymer field theory to find phase behavior of random copolymers, with different chemical and structural correlations
Resources
Readme
Activity
Custom properties
Stars
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Watchers
1 watching
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Report repository
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}
} catch(__e) { console.warn('[Userscript:Highlight Search Terms]', __e); }
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randcopoly
This folder contains Matlab scripts to calculate and plot the
structure factor and spinodal decomposition of an A-B semiflexible random copolymer based
on a polymer field theoretic formulation [1].

For a given
chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM,
this package calculates the melt
structure factor (density-density correlations),
the spinodal Flory-Huggins parameter χS,
and critical wavemode of phase segregation q*.
The folder "functions" provides functions s2invwlc and kmaxwlc that
calculate the structure factor of semiflexible (wormlike chain model) random
copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc).
Similar codes
can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc)
and for perfectly rigid random copolymers (s2invrr and kmaxrr).
This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]
Installation
Open Matlab and change directory to randcopoly. Then add the folder functions to path with
addpath('functions')
Example Usage
Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.
% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])
As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows
% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')
[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).
About
Use polymer field theory to find phase behavior of random copolymers, with different chemical and structural correlations
Resources
Readme
Activity
Custom properties
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1 watching
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}
} catch(__e) { console.warn('[Userscript:Remove Tracking Parameters from Links]', __e); }
})();
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randcopoly
This folder contains Matlab scripts to calculate and plot the
structure factor and spinodal decomposition of an A-B semiflexible random copolymer based
on a polymer field theoretic formulation [1].

For a given
chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM,
this package calculates the melt
structure factor (density-density correlations),
the spinodal Flory-Huggins parameter χS,
and critical wavemode of phase segregation q*.
The folder "functions" provides functions s2invwlc and kmaxwlc that
calculate the structure factor of semiflexible (wormlike chain model) random
copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc).
Similar codes
can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc)
and for perfectly rigid random copolymers (s2invrr and kmaxrr).
This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]
Installation
Open Matlab and change directory to randcopoly. Then add the folder functions to path with
addpath('functions')
Example Usage
Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.
% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])
As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows
% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')
[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).
About
Use polymer field theory to find phase behavior of random copolymers, with different chemical and structural correlations
Resources
Readme
Activity
Custom properties
Stars
4 stars
Watchers
1 watching
Forks
1 fork
Report repository
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Contributors
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, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Auto-enable theater mode on YouTube\n(function() {\n function tryTheater() {\n var btn = document.querySelector('button[aria-label=\"Theater mode\"], ytd-player #player button[title=\"Theater mode\"]');\n if (btn && !btn.classList.contains('activated')) {\n btn.click();\n }\n }\n \n // Try immediately\n tryTheater();\n \n // Try after navigation (SPA)\n var lastUrl = location.href;\n setInterval(function() {\n if (location.href !== lastUrl) {\n lastUrl = location.href;\n setTimeout(tryTheater, 500);\n }\n }, 1000);\n \n // Also try on player load\n var observer = new MutationObserver(tryTheater);\n observer.observe(document.body, { childList: true, subtree: true });\n})();", "YouTube Theater Mode Default");
}
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randcopoly
This folder contains Matlab scripts to calculate and plot the
structure factor and spinodal decomposition of an A-B semiflexible random copolymer based
on a polymer field theoretic formulation [1].

For a given
chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM,
this package calculates the melt
structure factor (density-density correlations),
the spinodal Flory-Huggins parameter χS,
and critical wavemode of phase segregation q*.
The folder "functions" provides functions s2invwlc and kmaxwlc that
calculate the structure factor of semiflexible (wormlike chain model) random
copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc).
Similar codes
can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc)
and for perfectly rigid random copolymers (s2invrr and kmaxrr).
This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]
Installation
Open Matlab and change directory to randcopoly. Then add the folder functions to path with
addpath('functions')
Example Usage
Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.
% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])
As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows
% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')
[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).
About
Use polymer field theory to find phase behavior of random copolymers, with different chemical and structural correlations
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})();
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var __m = "*";
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randcopoly
This folder contains Matlab scripts to calculate and plot the
structure factor and spinodal decomposition of an A-B semiflexible random copolymer based
on a polymer field theoretic formulation [1].

For a given
chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM,
this package calculates the melt
structure factor (density-density correlations),
the spinodal Flory-Huggins parameter χS,
and critical wavemode of phase segregation q*.
The folder "functions" provides functions s2invwlc and kmaxwlc that
calculate the structure factor of semiflexible (wormlike chain model) random
copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc).
Similar codes
can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc)
and for perfectly rigid random copolymers (s2invrr and kmaxrr).
This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]
Installation
Open Matlab and change directory to randcopoly. Then add the folder functions to path with
addpath('functions')
Example Usage
Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.
% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])
As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows
% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')
[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).
About
Use polymer field theory to find phase behavior of random copolymers, with different chemical and structural correlations
Resources
Readme
Activity
Custom properties
Stars
4 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages

, 'i');
if (__m === '*' || __re.test(location.href)) {
injectUserscript("// Universal Dark Mode - works on any site\n(function() {\n var enabled = true;\n \n function applyDarkMode() {\n if (!enabled) return;\n \n // Create style element if it doesn't exist\n var style = document.getElementById('universal-dark-mode-style');\n if (!style) {\n style = document.createElement('style');\n style.id = 'universal-dark-mode-style';\n document.head.appendChild(style);\n }\n \n // Dark mode CSS - inverts colors but preserves images/video\n style.textContent = '\n /* Invert everything except media */\n html {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #1a1a2e !important;\n }\n \n /* Restore images, videos, iframes, canvas */\n img, video, iframe, canvas, svg, picture, [style*=\"background-image\"] {\n filter: invert(1) hue-rotate(180deg) !important;\n }\n \n /* Preserve specific elements that should not be inverted */\n .no-dark-mode, .no-dark-mode *,\n [data-theme=\"light\"], [data-theme=\"light\"],\n .ace_editor, .ace_editor *,\n .CodeMirror, .CodeMirror *,\n .monaco-editor, .monaco-editor *,\n .markdown-body pre, .markdown-body pre *,\n .highlight, .highlight *,\n pre code, pre code * {\n filter: none !important;\n }\n \n /* Fix common UI elements */\n .modal, .popup, .dropdown-menu, .tooltip, .popover {\n filter: invert(1) hue-rotate(180deg) !important;\n background: #2d2d44 !important;\n border-color: #444 !important;\n }\n \n /* Scrollbars */\n ::-webkit-scrollbar { background: #1a1a2e !important; }\n ::-webkit-scrollbar-thumb { background: #444 !important; }\n ::-webkit-scrollbar-thumb:hover { background: #555 !important; }\n \n /* Selection */\n ::selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ::-moz-selection { background: #4ecdc4 !important; color: #1a1a2e !important; }\n ';\n }\n \n function removeDarkMode() {\n var style = document.getElementById('universal-dark-mode-style');\n if (style) style.remove();\n }\n \n // Toggle with Alt+Shift+D\n document.addEventListener('keydown', function(e) {\n if (e.altKey && e.shiftKey && e.key === 'D') {\n e.preventDefault();\n enabled = !enabled;\n if (enabled) {\n applyDarkMode();\n console.log('[Universal Dark Mode] Enabled');\n } else {\n removeDarkMode();\n console.log('[Universal Dark Mode] Disabled');\n }\n }\n });\n \n // Apply on load\n applyDarkMode();\n \n // Re-apply on dynamic content\n var observer = new MutationObserver(function(mutations) {\n if (enabled && !document.getElementById('universal-dark-mode-style')) {\n applyDarkMode();\n }\n });\n observer.observe(document.head, { childList: true });\n \n console.log('[Universal Dark Mode] Loaded - Press Alt+Shift+D to toggle');\n})();", "Universal Dark Mode");
}
} catch(__e) { console.warn('[Userscript:Universal Dark Mode]', __e); }
})();
})();

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randcopoly
This folder contains Matlab scripts to calculate and plot the
structure factor and spinodal decomposition of an A-B semiflexible random copolymer based
on a polymer field theoretic formulation [1].

For a given
chemical correlation λ, number of monomers N, and monomer length (in Kuhn segments) NM,
this package calculates the melt
structure factor (density-density correlations),
the spinodal Flory-Huggins parameter χS,
and critical wavemode of phase segregation q*.
The folder "functions" provides functions s2invwlc and kmaxwlc that
calculate the structure factor of semiflexible (wormlike chain model) random
copolymer (s2invwlc) and the critical wavemode (location of peak) in the structure factor (kmaxwlc).
Similar codes
can be found for flexible random copolymers based on the Gaussian chain model (s2invgc and kmaxgc)
and for perfectly rigid random copolymers (s2invrr and kmaxrr).
This package was developed by Shifan Mao, Quinn MacPherson, and Andrew Spakowitz [1]
Installation
Open Matlab and change directory to randcopoly. Then add the folder functions to path with
addpath('functions')
Example Usage
Here is an example of using the package to calculate the structure factor (density-density correlations) of rigid, anti-correlated random copolymers.
% Example 1: plot density-density correlations vs wavevector at different CHI
N=100; % total of 100 monomers
NM=0.1; % each monomer has 0.1 Kuhn steps
LAM=-0.75; % anti-correlated random copolymer
FA=0.5; % equal chemical composition% find spinodal CHIS
[kval,sval]=kmaxwlc(N,NM,FA,LAM);
CHIS=0.5*sval;
CHI=CHIS*[00.20.40.60.8]; % range of CHI values (scaled by spinodal)
RM=sqrt(r2wlc(NM)); % end-to-end distance of a monomers
K0=1e-2; % minimum wavevector
KF=1e2; % maximum wavevector
NK=201; % number of wavevectors
K=transpose(logspace(log10(K0),log10(KF),NK))/RM;
% evaluate s2inv
[SINV]=s2invwlc(N,NM,FA,LAM,K);
figure;holdfor I=1:length(CHI)
COL=(I-1)/(length(CHI)-1);
loglog(RM*K,1./(-2*CHI(I)+SINV),'-','LineWidth',2,'Color',[COL01-COL])
end
xlabel('R_Mq');ylabel('S(q)');boxon;
set(gca,'xscale','log');set(gca,'yscale','log');axis([K0KF1e-21e1])
As another example, the spinodal (order-disorder transition) of flexible random copolymers can be calculated as follows
% Example 2: find spinodal vs. fraction of A monomers
N=100; % total of 100 monomers
NM=10; % each monomer has 10 Kuhn steps
LAM=0; % ideal random copolymer
FAV = linspace(0.1,0.9,101);
CHIS = zeros(length(FAV),1);
for ii =1:length(FAV)
FA = FAV(ii);
[kval,sval,d2gam2]=kmaxwlc(N,NM,FA,LAM);
CHIS(ii)=0.5*sval; % spinodalendfigure;plot(FAV,CHIS*NM,'k-','linewidth',2)
xlabel('f_A');ylabel('\chi_S v N_M')
[1] Mao, Shifan, Quinn J. MacPherson, Steve S. He, Elyse Coletta, and Andrew J. Spakowitz. "Impact of Conformational and Chemical Correlations on Microphase Segregation in Random Copolymers." Macromolecules (2016).
About
Use polymer field theory to find phase behavior of random copolymers, with different chemical and structural correlations
Resources
Readme
Activity
Custom properties
Stars
4 stars
Watchers
1 watching
Forks
1 fork
Report repository
Releases
Packages
Contributors
Languages