Power-law distributions and fluctuation-dissipation relation in the stochastic dynamics of two-variable Langevin equations

DOI10.1088/1742-5468/2012/02/P02006zbMath1456.82765arXiv1202.0707MaRDI QIDQ3301334

Jiulin Du

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1202.0707

Mathematics Subject Classification ID

Stochastic methods (Fokker-Planck, Langevin, etc.) applied to problems in time-dependent statistical mechanics (82C31) Classical dynamic and nonequilibrium statistical mechanics (general) (82C05)

Related Items (10)

Canonical ensemble in non-extensive statistical mechanics ⋮ Canonical ensemble in non-extensive statistical mechanics, \(q > 1\) ⋮ The nonextensive parameter for nonequilibrium electron gas in an electromagnetic field ⋮ On the correlation between kappa and Lévy stable distributions ⋮ The mean first passage time in an energy-diffusion controlled regime with power-law distributions ⋮ Power-law behaviors from the two-variable Langevin equation: Ito’s and Stratonovich’s Fokker–Planck equations ⋮ The power-law reaction rate coefficient for barrierless reactions ⋮ Probabilistic model of \(N\) correlated binary random variables and non-extensive statistical mechanics ⋮ Entropy and entropy production in Fokker–Plank equation under the generalized fluctuation–dissipation relation ⋮ Power-law dynamic arising from machine learning

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Multivariate nonlinear Fokker-Planck equations and generalized thermostatistics
• Itō-Langevin equations within generalized thermostatistics
• Nonextensivity in nonequilibrium plasma systems with Coulombian long-range interactions
• Nonextensivity and the power-law distributions for the systems with self-gravitating long-range interactions
• Introduction to Nonextensive Statistical Mechanics
• Transient Properties of a Bistable System with Delay Time Driven by Non-Gaussian and Gaussian Noises: Mean First-Passage Time
• Reaction rate theory: What it was, where is it today, and where is it going?
• Self-organized criticality and \(1/f\)-noise at interacting nonequilibrium phase transitions

This page was built for publication: Power-law distributions and fluctuation-dissipation relation in the stochastic dynamics of two-variable Langevin equations