BIBLIOS

Tipo
Artigos em Revista

Tipo de Documento
Artigo Completo

Título
Spectral gap for the Kac model with hard sphere collisions

Participantes na publicação
Eric A. Carlen (Author)
RUTGERS UNIVERSITY
Maria C. Carvalho (Author)
Dep. Matemática
CMAF
Michael Loss (Author)

Resumo
We prove the analog of the Kac conjecture for hard sphere collisions, giving a computable, close estimate on the spectral gap that is independent of the number of particles. Previous work has focused on the case in which the collision rates are independent of the particle velocities, the case of so-called Maxwellian molecules. The new methods introduced here allow us to deal with collision rates that are not bounded from below. We also obtain information on the structure of the gap eigenfunction.


Suporte
Journal of Functional Analysis

Identificadores da Publicação
ISSN - 0022-1236

Editora
Elsevier BV



Identificadores do Documento
DOI - https://doi.org/10.1016/j.jfa.2013.08.024
URL - http://dx.doi.org/10.1016/j.jfa.2013.08.024

Keywords
Spectral gap Kinetic theory