Uniform Propagation of Chaos for the Thermostated Kac Model

Roberto Cortez, Hagop Tossounian

Resultado de la investigación: Contribución a una revistaArtículorevisión exhaustiva

2 Citas (Scopus)


We consider Kac’s 1D N-particle system coupled to an ideal thermostat at a fixed temperature, introduced by Bonetto, Loss, and Vaidyanathan in 2014. We obtain a propagation of chaos result for this system, with an explicit and uniform-in-time rate of order N- 1 / 3 in terms of the 2-Wasserstein metric squared. We also show well-posedness and equilibration for the limit kinetic equation in the space of probability measures. The proofs use a coupling argument previously introduced by Cortez and Fontbona in 2016.

Idioma originalInglés
Número de artículo28
PublicaciónJournal of Statistical Physics
EstadoPublicada - may. 2021

Áreas temáticas de ASJC Scopus

  • Física estadística y no lineal
  • Física matemática


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