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Propagation of Chaos for the Thermostatted Kac Master Equation
- Carlen, E. (author)
-
- Mustafa, Dawan, 1985 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, matematik,Department of Mathematical Sciences, Mathematics,Chalmers tekniska högskola,Chalmers University of Technology,University of Gothenburg
-
- Wennberg, Bernt, 1961 (author)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper,Department of Mathematical Sciences,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology
- (creator_code:org_t)
- 2014-12-25
- 2015
- English.
- In: Journal of statistical physics. - : Springer Science and Business Media LLC. - 0022-4715 .- 1572-9613. ; 158:6, s. 1341-1378
- Journal article (peer-reviewed)
Abstract
Subject headings
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- 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.
Subject headings
- NATURVETENSKAP -- Matematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics (hsv//eng)
Keyword
- Master equation
- Propagation of chaos
- Kinetic equation with a thermostat
- Kinetic equation with a thermostat
Publication and Content Type
- ref (subject category)
- art (subject category)
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