Matlab：利用Matlab編程實現模擬分子布朗運動的動畫展示

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實現代碼

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實現代碼

%Brownian motion clf; n=20; s=0.02; x = rand(n,1)-0.5; y = rand(n,1)-0.5; h = plot(x,y,'.'); axis([-1 1 -1 1]) axis square grid off set(h,'EraseMode','xor','MarkerSize',18) grid on; title('Press Ctl-C to stop'); while 1 drawnow x = x + s*randn(n,1); y = y + s*randn(n,1); set(h,'XData',x,'YData',y) end clear;clc;%Initializetherandngenerator randn('state',1)%SettheparameterHandthesamplelength H=0.7;lg=10000; %Generateandplotwavelet-basedfBmforH=0.7 fBm=wfbm(H,lg);n=0:10; dt=2.^n; v=zeros(1,length(n)); fori=1:11d=fBm(1+dt(i):end)-fBm(1:end-dt(i));v(i)=sum(d.^2)./(length(d)-1);cleard; end p=polyfit(log(dt),log(v),1);loglog(dt,v,'ko'); holdon;sH=p(1)./2; ch=exp(p(2));plot(dt,ch.*dt.^(2.*sH),'b','LineWidth',1);%% clc; clearvars-exceptchsH; mch=ch; msH=sH; clearchsH;%Initializetherandngenerator randn('state',1)%SettheparameterHandthesamplelength H=0.7;lg=10000; fBm=fbm1d(H,lg);n=0:10; dt=2.^n; v=zeros(1,length(n)); fori=1:11d=fBm(1+dt(i):end)-fBm(1:end-dt(i));v(i)=sum(d.^2)./(length(d)-1);cleard; end p=polyfit(log(dt./lg),log(v),1);holdon; loglog(dt,v,'ks'); sH=p(1)./2; ch=exp(p(2));plot(dt,ch.*(dt./lg).^(2.*sH),'r','LineWidth',1);legend('matlab',strcat('Var=',num2str(mch),'*dt^{2.*',num2str(msH),'}'),'KB',strcat('Var=',num2str (ch),'*dt^{2.*',num2str(sH),'}'),'Location','SouthEast'); saveas(gcf,'test1.jpg');

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相關文章
Fractional Brownian motion generator

分數布朗運動及其模擬PDF參考文件

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