Repository: Freie Universität Berlin, Math Department

Nonequilibrium Induced by Reservoirs: Physico-Mathematical Models and Numerical Tests

Klein, R. and Viand, R. E. and Höfling, Felix and Delle Site, Luigi (2021) Nonequilibrium Induced by Reservoirs: Physico-Mathematical Models and Numerical Tests. Advanced Theory and Simulations, 4 . pp. 1-10.

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Official URL: http://DOI: 10.1002/adts.202100071


In a recently proposed computational model of open molecular systems out of equilibrium the action of different reservoirs enters as a linear sum into the Liouville-type evolution equations for the open system’s statistics. The linearity of the coupling is common to different mathematical models of open systems and essentially relies on neglecting the feedback of the system onto the reservoir due to their interaction. In this paper, the range of applicability of the computational model is tested with a linear coupling to two different reservoirs, which induces a nonequilibrium situation. To this end, the density profiles of Lennard–Jones liquids in large thermal gradients are studied using nonequilibrium molecular dynamics simulations with open boundaries. The authors put in perspective the formulation of an extension of the mathematical model that can account for nonlinear effects.

Item Type:Article
Subjects:Mathematical and Computer Sciences > Mathematics > Applied Mathematics
Divisions:Department of Mathematics and Computer Science > Institute of Mathematics > Geophysical Fluid Dynamics Group
ID Code:2571
Deposited By: Monika Drueck
Deposited On:07 May 2021 13:43
Last Modified:25 Jan 2022 08:01

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