Numerical simulation of transmission coefficient using c-number Langevin equation

Abstract

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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• Dynamics of a metastable state nonlinearly coupled to a heat bath driven by an external noise
• Multiplicative cross-correlated noise induced escape rate from a metastable state
• Kinetics of self-induced aggregation of Brownian particles: non-Markovian and non-Gaussian features
• Anharmonic quantum contribution to vibrational dephasing
• Inhomogeneous quantum diffusion and decay of a meta-stable state
• Modelling a Bistable System Strongly Coupled to a Debye Bath: A Quasiclassical Approach Based on the Generalised Langevin Equation
• Transport and bistable kinetics of a Brownian particle in a nonequilibrium environment