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arXiv · 2208.14358

Convergence of Nonequilibrium Langevin Dynamics for Planar Flows

Matthew Dobson·Abdel Kader Geraldo
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Abstract

We prove that incompressible two dimensional nonequilibrium Langevin dynamics (NELD) converges exponentially fast to a steady-state limit cycle. We use automorphism remapping periodic boundary conditions (PBCs) techniques such as Lees-Edwards PBCs and Kraynik-Reinelt PBCs to treat respectively shear flow and planar elongational flow. After rewriting NELD in Lagrangian coordinates, the convergence is shown using a technique similar to [R. Joubaud, G. A. Pavliotis, and G. Stoltz,2014].

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BibTeXRIS

Matthew Dobson, Abdel Kader Geraldo. 2022-08-30. Convergence of Nonequilibrium Langevin Dynamics for Planar Flows. https://doi.org/10.1007/s10955-023-03109-3

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