Duke Applied Mathematics

Publications [#303552] of Jonathan C. Mattingly

Papers Published

1. with Cooke, B; Herzog, DP; Mattingly, JC; Mckinle, SA; Schmidler, SC, Geometric ergodicity of two-dimensional hamiltonian systems with a Lennard-Jones-like repulsive potential, Communications in Mathematical Sciences, vol. 15 no. 7 (January, 2017), pp. 1987-2025, International Press of Boston [math/1104.3842], [1104.3842v2], [doi]
   (last updated on 2026/01/20)

   Abstract:
   We establish ergodicity of the Langevin dynamics for a simple two-particle system involving a Lennard-Jones type potential. Moreover, we show that the dynamics is geometrically ergodic; that is, the system converges to stationarity exponentially fast. Methods from stochastic averaging are used to establish the existence of the appropriate Lyapunov function.