Convergence of Nonequilibrium Langevin Dynamics for Planar Flows

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) such as Lees–Edwards PBCs and Kraynik–Reinelt PBCs to treat respectively shear flow and p...

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Bibliographic Details
Published in:Journal of statistical physics 2023-04, Vol.190 (5), Article 91
Main Authors: Dobson, Matthew, Geraldo, Abdel Kader A.
Format: Article
Language:English
Subjects:
Distribution (Probability theory)
Mathematical and Computational Physics
Molecular dynamics
Physical Chemistry
Physics
Physics and Astronomy
Quantum Physics
Statistical Physics and Dynamical Systems
Theoretical
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Summary: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) such as Lees–Edwards PBCs and Kraynik–Reinelt PBCs to treat respectively shear flow and planar elongational flow. The convergence is shown using a technique similar to (Joubaud et al. in J Stat Phys 158:1–36, 2015).
ISSN:1572-9613
0022-4715
1572-9613
DOI:10.1007/s10955-023-03109-3