Off-equilibrium Langevin dynamics of the discrete nonlinear Schrödinger chain

S. Iubini; S. Lepri; R. Livi; A. Politi

doi:10.1088/1742-5468/2013/08/P08017

Off-equilibrium Langevin dynamics of the discrete nonlinear Schrödinger chain

S. Iubini, S. Lepri, R. Livi, A. Politi

Research output: Contribution to journal › Article › peer-review

30 Citations (Scopus)

Abstract

We introduce suitable Langevin thermostats which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schrödinger oscillators. The resulting nonequilibrium stationary states are then investigated in the limit of low temperatures and large particle densities, where the dynamics can be mapped onto that of a coupled-rotor chain with an external torque. As a result, an effective kinetic definition of temperature can be introduced and compared with the general microcanonical (global) definition.

Original language	English
Article number	P08017
Pages (from-to)	1-19
Number of pages	19
Journal	Journal of statistical mechanics-Theory and experiment
Volume	2013
Issue number	8
DOIs	https://doi.org/10.1088/1742-5468/2013/08/P08017
Publication status	Published - 30 Aug 2013

Bibliographical note

We thank S Olla and Y Dubi for fruitful discussions.

Keywords

transport processes/heat transfer (theory)

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10.1088/1742-5468/2013/08/P08017Licence: Unspecified

Cite this

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abstract = "We introduce suitable Langevin thermostats which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schr{\"o}dinger oscillators. The resulting nonequilibrium stationary states are then investigated in the limit of low temperatures and large particle densities, where the dynamics can be mapped onto that of a coupled-rotor chain with an external torque. As a result, an effective kinetic definition of temperature can be introduced and compared with the general microcanonical (global) definition.",

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AU - Iubini, S.

AU - Lepri, S.

AU - Livi, R.

AU - Politi, A.

N1 - We thank S Olla and Y Dubi for fruitful discussions.

PY - 2013/8/30

Y1 - 2013/8/30

N2 - We introduce suitable Langevin thermostats which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schrödinger oscillators. The resulting nonequilibrium stationary states are then investigated in the limit of low temperatures and large particle densities, where the dynamics can be mapped onto that of a coupled-rotor chain with an external torque. As a result, an effective kinetic definition of temperature can be introduced and compared with the general microcanonical (global) definition.

AB - We introduce suitable Langevin thermostats which are able to control both the temperature and the chemical potential of a one-dimensional lattice of nonlinear Schrödinger oscillators. The resulting nonequilibrium stationary states are then investigated in the limit of low temperatures and large particle densities, where the dynamics can be mapped onto that of a coupled-rotor chain with an external torque. As a result, an effective kinetic definition of temperature can be introduced and compared with the general microcanonical (global) definition.

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Off-equilibrium Langevin dynamics of the discrete nonlinear Schrödinger chain

Abstract

Bibliographical note

Keywords

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