2006/12/11 by Jyotipratim Ray Chaudhuri, Debashis Barik, Suman Kumar Banik · 19 citations
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Differential equation #Diffusion #Fokker–Planck equation #Gaussian #Heat equation #Langevin equation #Metastability #Multiplicative noise #Noise (video) #Physics #Quantum mechanics #Spectroscopy and Quantum Chemical Studies #Stationary state #Statistical physics #Thermodynamics #cond-mat.stat-mech #physics.chem-ph #stochastic dynamics and bifurcation
paper · pdf · doi:10.1103/physreve.74.061119
published in Physical Review E 74(6), 061119 (American Physical Society) · 13 pages, 5 figures, Revtex4. To appear in Physical Review E
arxiv created 2006/12/11 · openalex publication_date 2006/12/28 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
Based on a system-reservoir model, where the system is nonlinearly coupled to a heat bath and the heat bath is modulated by an external stationary Gaussian noise, we derive the generalized Langevin equation with space-dependent friction and multiplicative noise and construct the corresponding Fokker-Planck equation, valid for short correlation time, with space-dependent diffusion coefficient to study the escape rate from a metastable state in the moderate- to large-damping regime. By considering the dynamics in a model cubic potential we analyze the results numerically which are in good agreement with theoretical predictions. It has been shown numerically that enhancement of the rate is possible by properly tuning the correlation time of the external noise.