The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

The search session has expired. Please query the service again.

Currently displaying 1 – 3 of 3

Showing per page

Order by Relevance | Title | Year of publication

On the distribution of free path lengths for the periodic Lorentz gas II

François GolseBernt Wennberg — 2010

ESAIM: Mathematical Modelling and Numerical Analysis

Consider the domain Z ϵ = { x n ; d i s t ( x , ϵ n ) > ϵ γ } and let the free path length be defined as τ ϵ ( x , v ) = inf { t > 0 ; x - t v Z ϵ } . In the Boltzmann-Grad scaling corresponding to γ = n n - 1 , it is shown that the limiting distribution φ ϵ of τ ϵ is bounded from below by an expression of the form , for some . A numerical study seems to indicate that asymptotically for large , φ ϵ C / t . This is an extension of a previous work [J. Bourgain , (1998) 491-508]. As a consequence, it is proved that the linear Boltzmann type transport equation is inappropriate to describe the...

Page 1

Download Results (CSV)