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Propagation of Chaos for the Thermostatted Kac Master Equation

E. Carlen ; Dawan Mustafa (Institutionen för matematiska vetenskaper, matematik) ; Bernt Wennberg (Institutionen för matematiska vetenskaper)
Journal of statistical physics (0022-4715). Vol. 158 (2015), 6, p. 1341-1378.
[Artikel, refereegranskad vetenskaplig]

The Kac model is a simplified model of an -particle system in which the collisions of a real particle system are modeled by random jumps of pairs of particle velocities. Kac proved propagation of chaos for this model, and hence provided a rigorous validation of the corresponding Boltzmann equation. Starting with the same model we consider an -particle system in which the particles are accelerated between the jumps by a constant uniform force field which conserves the total energy of the system. We show propagation of chaos for this model.

Nyckelord: Master equation, Propagation of chaos, Kinetic equation with a thermostat

Denna post skapades 2015-04-14. Senast ändrad 2015-05-28.
CPL Pubid: 215184


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Institutionen för matematiska vetenskaper, matematik (2005-2016)
Institutionen för matematiska vetenskaperInstitutionen för matematiska vetenskaper (GU)



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