Calculations/Dipolar-Gas-Simulator/+VariationalSolver2D/@Calculator/calculateVDkWithoutCutoff.m

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755 B
Matlab

function VDk = calculateVDkWithoutCutoff(~, Transf, Params, ell)
% == Calculating the DDI potential in Fourier space with appropriate cutoff == %
% Interaction in K space
QX = Transf.KX*ell/sqrt(2);
QY = Transf.KY*ell/sqrt(2);
Qsq = QX.^2 + QY.^2;
absQ = sqrt(Qsq);
QDsq = QX.^2*cos(Params.eta)^2 + QY.^2*sin(Params.eta)^2;
% Bare interaction
Fpar = -1 + 3*sqrt(pi)*QDsq.*erfcx(absQ)./absQ; % Scaled complementary error function erfcx(x) = e^(x^2) * erfc(x)
Fperp = 2 - 3*sqrt(pi).*absQ.*erfcx(absQ);
Fpar(absQ == 0) = -1;
% Full DDI
VDk = Fpar*sin(Params.theta)^2 + Fperp*cos(Params.theta)^2;
end