Oscillating states of driven Langevin systems in large viscous regime

TL;DR

This paper investigates the behavior of driven Langevin systems in a high-viscosity regime, revealing how viscous drives influence oscillating states and thermodynamic properties, with explicit analytical results for under-damped Brownian particles.

Contribution

It introduces a perturbative approach to analyze oscillating states in driven Langevin systems, providing explicit distribution and observable calculations in the large viscous regime.

Findings

Viscous drive effects are measurable at leading order.

Oscillating states differ significantly from equilibrium states.

Thermodynamic properties are substantially altered in these states.

Abstract

We employ an appropriate perturbative scheme in the large viscous regime to study oscillating states in driven Langevin systems. We explicitly determine oscillating state distribution of under-damped Brownian particle subjected to thermal, viscous and potential drives to linear order in anharmonic perturbation. We also evaluate various non-equilibrium observables relevant to characterize the oscillating states. We find that the effects of viscous drive on oscillating states are measurable even in the leading order and show that the thermodynamic properties of the system in these states are immensely distinct from those in equilibrium.