Bd. Todd, NONLINEAR RESPONSE THEORY FOR TIME-PERIODIC ELONGATIONAL FLOWS, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics, 58(4), 1998, pp. 4587-4593
The time-dependent nonlinear response theory of Petravic and Evans [Ph
ys. Rev. Lett. 78, 1199 (1997); Phys. Rev. E 56, 1207 (1997)] is appli
ed to the case of an atomic fluid undergoing oscillatory elongational
flow. It is found that nonlinear response calculations agree very well
with direct nonequilibrium molecular dynamics calculations of the dia
gonal elements of the pressure tensor. At very weak applied fields, no
nlinear response theory is statistically superior to the direct calcul
ation, which suffers from low signal to noise ratios, but at higher fi
elds direct averaging of phase variables is observed to be superior. [
S1063-651X(98)12210-9].