Velocity multistability vs ergodicity breaking in a biased periodic potential
| Autor: | Jerzy Łuczka, Peter Hanggi, Jakub Spiechowicz |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2021 |
| Předmět: |
multistability
ergodicity Brownian motion tilted periodic potential Statistical Mechanics (cond-mat.stat-mech) Condensed Matter - Mesoscale and Nanoscale Physics Science Physics QC1-999 General Physics and Astronomy FOS: Physical sciences Condensed Matter - Soft Condensed Matter Astrophysics Article QB460-466 Mesoscale and Nanoscale Physics (cond-mat.mes-hall) Soft Condensed Matter (cond-mat.soft) ddc:530 Condensed Matter - Statistical Mechanics |
| Zdroj: | Entropy, Vol 24, Iss 98, p 98 (2022) Entropy Entropy; Volume 24; Issue 1; Pages: 98 |
| Popis: | 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. |
| Databáze: | OpenAIRE |
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