The stochastic acceleration problem in two dimensions
Komorowski, T. ; Ryzhik, L.
arXiv, 0505083 / Harvested from arXiv
Text on arXiv
We consider the motion of a particle in a two-dimensional spatially homogeneous mixing potential and show that its momentum converges to the Brownian motion on a circle. This complements the limit theorem of Kesten and Papanicolaou \cite{KP} proved in dimensions $d\ge 3$.
Publié le : 2005-05-30
Classification:  Mathematical Physics,  Mathematics - Probability 
@article{0505083,
     author = {Komorowski, T. and Ryzhik, L.},
     title = {The stochastic acceleration problem in two dimensions},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505083}
}

Komorowski, T.; Ryzhik, L. The stochastic acceleration problem in two dimensions. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505083/