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Chaotic distributions for relativistic particles

Dawan Mustafa (Institutionen för matematiska vetenskaper, matematik) ; Bernt Wennberg (Institutionen för matematiska vetenskaper, matematik)
Kinetic and Related Models (1937-5093). Vol. 9 (2016), 4, p. 749-766.
[Artikel, refereegranskad vetenskaplig]

We study a modified Kac model where the classical kinetic energy is replaced by an arbitrary energy function φ(v), v ∈ ℝ. The aim of this paper is to show that the uniform density with respect to the microcanonical measure is Ce-z0φ(v)-chaotic, C, z0 ∈ ℝ+. The kinetic energy for relativistic particles is a special case. A generalization to the case v ∈ ℝd which involves conservation momentum is also formally discussed.

Nyckelord: Chaotic distributions; Master equation; Microcanonical measure; Propagation of chaos; Relativistic Kac model



Denna post skapades 2016-12-19. Senast ändrad 2017-02-21.
CPL Pubid: 246215

 

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Institutioner (Chalmers)

Institutionen för matematiska vetenskaper, matematik (2005-2016)

Ämnesområden

Matematik

Chalmers infrastruktur