Skip navigation

Please use this identifier to cite or link to this item:
Title: Velocity multistability vs. ergodicity breaking in a biased periodic potential
Authors: Spiechowicz, Jakub
Hänggi, Peter
Łuczka, Jerzy
Keywords: multistability; ergodicity; Brownian motion; tilted periodic potential
Issue Date: 2022
Citation: "Entropy" (2022), iss. 1, art. no. 98, s. 1-9
Abstract: Multistability, i.e., the coexistence of several attractors for a given set of system parameters, is one of the most important phenomena occurring in dynamical systems. We consider it in the velocity dynamics of a Brownian particle, driven by thermal fluctuations and moving in a biased periodic potential. In doing so, we focus on the impact of ergodicity—A concept which lies at the core of statistical mechanics. The latter implies that a single trajectory of the system is representative for the whole ensemble and, as a consequence, the initial conditions of the dynamics are fully forgotten. The ergodicity of the deterministic counterpart is strongly broken, and we discuss how the velocity multistability depends on the starting position and velocity of the particle. While for non-zero temperatures the ergodicity is, in principle, restored, in the low temperature regime the velocity dynamics is still affected by initial conditions due to weak ergodicity breaking. For moderate and high temperatures, the multistability is robust with respect to the choice of the starting position and velocity of the particle.
DOI: 10.3390/e24010098
ISSN: 1099-4300
Appears in Collections:Artykuły (WNŚiT)

Files in This Item:
File Description SizeFormat 
Spiechowicz_velocity_multistability_vs_ergodicity.pdf691,03 kBAdobe PDFView/Open
Show full item record

Uznanie Autorstwa 3.0 Polska Creative Commons License Creative Commons