Does the fluctuation-dissipation relation guarantee equilibrium?
Arijit Bhattacharyay
TL;DR
This paper investigates whether the fluctuation-dissipation relation ensures equilibrium by analyzing an exactly solved, symmetry-broken harmonic oscillator in contact with a heat bath, revealing directed transport.
Contribution
It provides an exact solution to a symmetry-broken harmonic oscillator, challenging the assumption that fluctuation-dissipation guarantees equilibrium.
Findings
Directed transport occurs despite fluctuation-dissipation relation
Symmetry breaking leads to non-equilibrium behavior
Exact solution demonstrates potential deviations from equilibrium expectations
Abstract
We study a symmetry broken harmonic oscillator in contact with a heat bath characterized by a fixed temperature. The overdampped system is solved exactly to show symmetry broken directed transport raising the question whether fluctuation-dissipation relation does guarantee equilibrium.
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Taxonomy
TopicsAdvanced Thermodynamics and Statistical Mechanics · Nonlinear Dynamics and Pattern Formation · stochastic dynamics and bifurcation