Non-equilibrium distributions at finite noise intensities
A. Bandrivskyy, S. Beri, D.G. Luchinsky
TL;DR
This paper investigates how finite noise influences non-equilibrium distributions in dissipative systems, revealing topological changes in optimal paths and validating predictions through numerical and simulation methods.
Contribution
It introduces a topological framework for understanding finite noise effects on non-equilibrium distributions in dissipative systems.
Findings
Finite noise causes topological changes in optimal path patterns.
Theoretical predictions align well with numerical solutions.
Monte Carlo simulations confirm the analytical results.
Abstract
We analyse the non-equilibrium distribution in dissipative dynamical systems at finite noise intensities. The effect of finite noise is described in terms of topological changes in the pattern of optimal paths. Theoretical predictions are in good agreement with the results of numerical solution of the Fokker-Planck equation and Monte Carlo simulations.
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