Numerical simulation of transmission coefficient using c-number Langevin equation

Details Numerical simulation of transmission coefficient using c-number Langevin equation Numerical simulation of transmission coefficient using c-number Langevin equation

2004-08-03

arxiv.org/abs/physics/0408015v1

Journal of Chemical Physics 119 (2003) 12973

Physics

Chemical Physics

Scientific paper

10.1063/1.1628227

We numerically implement the reactive flux formalism on the basis of a recently proposed c-number Langevin equation [Barik \textit{et al}, J. Chem. Phys. {\bf 119}, 680 (2003); Banerjee \textit{et al}, Phys. Rev. E {\bf 65}, 021109 (2002)] to calculate transmission coefficient. The Kramers' turnover, the $T^2$ enhancement of the rate at low temperatures and other related features of temporal behaviour of the transmission coefficient over a range of temperature down to absolute zero, noise correlation and friction are examined for a double well potential and compared with other known results. This simple method is based on canonical quantization and Wigner quasiclassical phase space function and takes care of quantum effects due to the system order by order.

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