Negative mass corrections in a dissipative stochastic environment
Files
Accepted manuscript
Date
2016-02-01
Authors
D'Alessio, Luca
Kafri, Yariv
Polkovnikov, Anatoli
Version
Accepted manuscript
OA Version
Citation
Luca D'Alessio, Yariv Kafri, Anatoli Polkovnikov. 2016. "Negative mass corrections in a dissipative stochastic environment." JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, pp. ? - ? (24). https://doi.org/10.1088/1742-5468/2016/02/023105
Abstract
We study the dynamics of a macroscopic object interacting with a dissipative stochastic environment using an adiabatic perturbation theory. The perturbation theory reproduces known expressions for the friction coefficient and, surprisingly, gives an additional negative mass correction. The effect of the negative mass correction is illustrated by studying a harmonic oscillator interacting with a dissipative stochastic environment. While it is well known that the friction coefficient causes a reduction of the oscillation frequency, we show that the negative mass correction can lead to its enhancement. By studying an exactly solvable model of a magnet coupled to a spin environment evolving under standard non-conserving dynamics we show that the effect is present even beyond the validity of the adiabatic perturbation theory.