Coupled transport in a linear-stochastic Schr\"odinger Equation
Statistical Mechanics
2019-10-09 v2
Abstract
I study heat and norm transport in a one-dimensional lattice of linear Schr\"odinger oscillators with conservative stochastic perturbations. Its equilibrium properties are the same of the Discrete Nonlinear Schr\"odinger equation in the limit of vanishing nonlinearity. When attached to external classical reservoirs that impose nonequilibrium conditions, the chain displays diffusive transport, with finite Onsager coefficients in the thermodynamic limit and a finite Seebeck coefficient.
Cite
@article{arxiv.1906.00090,
title = {Coupled transport in a linear-stochastic Schr\"odinger Equation},
author = {Stefano Iubini},
journal= {arXiv preprint arXiv:1906.00090},
year = {2019}
}
Comments
Contribution to the JSTAT special issue "New Trends in Nonequilibrium Statistical Mechanics: Classical and Quantum Systems (nesmcq18)"