1 citations · 1 across the 2 of their papers we have counts for
3 papers
math.PR2022
Convergence of Nonequilibrium Langevin Dynamics for Planar Flows
Matthew Dobson, Abdel Kader Geraldo
We prove that incompressible two dimensional nonequilibrium Langevin dynamics (NELD) converges exponentially fast to a steady-state limit cycle. We use automorphism remapping perio…
physics.comp-ph2021★ 1 cited
Simple Periodic Boundary Conditions for Molecular Simulation of Uniaxial Flow
Matthew Dobson, Abdel Kader Geraldo
We present rotating periodic boundary conditions (PBCs) for the simulation of nonequilibrium molecular dynamics (NEMD) under uniaxial stretching flow (USF) or biaxial stretching fl…
math.NA2017
Strong Convergence of Integrators for Nonequilibrium Langevin Dynamics`
Matthew Dobson, Abdel Kader Geraldo
Several numerical schemes are proposed for the solution of Nonequilibrium Langevin Dynamics (NELD), and the rate of convergence is analyzed. Due to the special deforming boundary c…