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2017 On the relaxation rate of short chains of rotors interacting with Langevin thermostats
Noé Cuneo, Christophe Poquet
Electron. Commun. Probab. 22: 1-8 (2017). DOI: 10.1214/17-ECP62

Abstract

In this short note, we consider a system of two rotors, one of which interacts with a Langevin heat bath. We show that the system relaxes to its invariant measure (steady state) no faster than a stretched exponential $\exp (-c t^{1/2})$. This indicates that the exponent $1/2$ obtained earlier by the present authors and J.-P. Eckmann for short chains of rotors is optimal.

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Noé Cuneo. Christophe Poquet. "On the relaxation rate of short chains of rotors interacting with Langevin thermostats." Electron. Commun. Probab. 22 1 - 8, 2017. https://doi.org/10.1214/17-ECP62

Information

Received: 28 April 2016; Accepted: 23 May 2017; Published: 2017
First available in Project Euclid: 21 June 2017

zbMATH: 1380.82028
MathSciNet: MR3666856
Digital Object Identifier: 10.1214/17-ECP62

Subjects:
Primary: NA

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