Bibliography
79
%t = t + dt;
%phase = omega*t;
%Tddip(i,j)=-Tddipo*sin(2*pi*xij)*sin(phase);
%Tdrat(i,j)= Tdrato*(cos(xij) - 0.5*cos(2*xij));
%x(i+1,j)=xij+Drot*Tddip(i,j)*dt + Drot*Tdrat(i,j)*dt + ddw(i,j);
%−T load ∗ Drot ∗ dt/(kT ) 2 ;
%========================================================
sumx2(i + 1, j) = sumx2(i, j ) + x(i + 1, j) 2 ;
sumx(i + 1, j) = sumx(i, j ) + x(i + 1, j);
sigma2(i, j ) = (sumx2(i, j ) − (sumx(i, j ) 2 )/(i + 1))/(i + 1);
end
end
mtheta=sum(x,2)/NR/6.2832;
mw = sum(w,2)/NR/6.2832;
msigma2=sum(sigma2,2)/NR/6.2832; t=((1:N)*dt)’;
figure(1); plot(t,mtheta); grid;
figure(2); plot(t,mw); grid;
t=((1:N-1)*dt)’;
figure(3); plot(t,msigma2); grid;
%disp(mw/1.E8);
%========================================================
save t.dat t -ascii;
save msigma2.dat msigma2 -ascii;
save mtheta.dat mtheta -ascii;
save mw.dat mw -ascii;
Bibliography
1. Binning, G., Quate, C.F., Gerber, C.: Atomic force microscope. Phys. Rev. Lett. 56, 930 (1986)
2. Binning, G., Rohrer, H.: Scanning tunneling microscopy–from birth to adolescence. Rev. Mod.
Phys. 59, 615 (1987)
3. Gimzewski, J.K., Joachim, C., Schlittler, R.R., Langlais, V., Tang, H., Johannsen, I.: Rotation
of a single molecule within a supramolecular bearing. Science 281, 531 (1998)
4. Kelly, T.R., De Silva, H., Silva, R.A.: Unidirectional rotary motion in a molecular system.
Nature 401, 150 (1999)
5. Koumura, N., Zijistra, R.W.J., Van Delden, R.A., Harada, N., Feringa, B.L.: Light-driven
monodirectional molecular rotor. Nature 401, 152 (1999)
6. Feringa, B.L., Koumura, N., Van Delden, R.A., Ter Wiel, M.K.J.: Light-driven molecular
switches and motors. Appl. Phys. A 75, 301 (2002)
7. Palffy-Muhoray, P., Kosa, T., Weinan, E.: Brownian motors in the photoalignment of liquid
crystals. Appl. Phys. A 75, 293 (2002)
79
%t = t + dt;
%phase = omega*t;
%Tddip(i,j)=-Tddipo*sin(2*pi*xij)*sin(phase);
%Tdrat(i,j)= Tdrato*(cos(xij) - 0.5*cos(2*xij));
%x(i+1,j)=xij+Drot*Tddip(i,j)*dt + Drot*Tdrat(i,j)*dt + ddw(i,j);
%−T load ∗ Drot ∗ dt/(kT ) 2 ;
%========================================================
sumx2(i + 1, j) = sumx2(i, j ) + x(i + 1, j) 2 ;
sumx(i + 1, j) = sumx(i, j ) + x(i + 1, j);
sigma2(i, j ) = (sumx2(i, j ) − (sumx(i, j ) 2 )/(i + 1))/(i + 1);
end
end
mtheta=sum(x,2)/NR/6.2832;
mw = sum(w,2)/NR/6.2832;
msigma2=sum(sigma2,2)/NR/6.2832; t=((1:N)*dt)’;
figure(1); plot(t,mtheta); grid;
figure(2); plot(t,mw); grid;
t=((1:N-1)*dt)’;
figure(3); plot(t,msigma2); grid;
%disp(mw/1.E8);
%========================================================
save t.dat t -ascii;
save msigma2.dat msigma2 -ascii;
save mtheta.dat mtheta -ascii;
save mw.dat mw -ascii;
Bibliography
1. Binning, G., Quate, C.F., Gerber, C.: Atomic force microscope. Phys. Rev. Lett. 56, 930 (1986)
2. Binning, G., Rohrer, H.: Scanning tunneling microscopy–from birth to adolescence. Rev. Mod.
Phys. 59, 615 (1987)
3. Gimzewski, J.K., Joachim, C., Schlittler, R.R., Langlais, V., Tang, H., Johannsen, I.: Rotation
of a single molecule within a supramolecular bearing. Science 281, 531 (1998)
4. Kelly, T.R., De Silva, H., Silva, R.A.: Unidirectional rotary motion in a molecular system.
Nature 401, 150 (1999)
5. Koumura, N., Zijistra, R.W.J., Van Delden, R.A., Harada, N., Feringa, B.L.: Light-driven
monodirectional molecular rotor. Nature 401, 152 (1999)
6. Feringa, B.L., Koumura, N., Van Delden, R.A., Ter Wiel, M.K.J.: Light-driven molecular
switches and motors. Appl. Phys. A 75, 301 (2002)
7. Palffy-Muhoray, P., Kosa, T., Weinan, E.: Brownian motors in the photoalignment of liquid
crystals. Appl. Phys. A 75, 293 (2002)