An efficient approach to obtaining the exit location distribution and the mean first passage time based on the GCM method

DOI10.1016/j.physa.2021.125837OpenAlexW3127643838MaRDI QIDQ2067546

Jianlong Wang, Xiaolei Leng, Xian-bin Liu

Publication date: 18 January 2022

Published in: Physica A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.physa.2021.125837

zbMATH Keywords

eigenvalue problemmean first passage timeexit location distributiongeneralized cell mapping methodprobability evolution

Mathematics Subject Classification ID

Statistical mechanics, structure of matter (82-XX)

Cites Work

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• On the principal eigenvalue in a singular perturbation problem with hyperbolic limit points and circles
• Averaging method for strongly nonlinear oscillators with periodic excitations
• The Fokker-Planck equation. Methods of solutions and applications.
• On a simple derivation of the very low damping escape rate for classical spins by modifying the method of Kramers
• Random vibrations with impacts: a review
• The Langevin Equation
• The Exit Distribution on the Stochastic Separatrix in Kramers' Exit Problem
• On Positive Solutions of the Equation $\mathfrak{A}U + Vu = 0$
• A Direct Approach to the Exit Problem
• The geometric minimum action method: A least action principle on the space of curves
• Reliability of Elastic Structures Driven by Random Loads
• The Exit Problem: A New Approach to Diffusion Across Potential Barriers
• Normal vibrations and friction at a Hertzian contact under random excitation: Theory and experiments
• Limiting Exit Location Distributions in the Stochastic Exit Problem
• Langevin equation method for the rotational Brownian motion and orientational relaxation in liquids
• Brownian motion in a field of force and the diffusion model of chemical reactions
• On the Theory of the Brownian Motion II
• Escape times for rigid Brownian rotators in a bistable potential from the time evolution of the Green function and the characteristic time of the probability evolution

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