Please use this identifier to cite or link to this item:
https://hdl.handle.net/20.500.12202/9574
Title: | On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas |
Authors: | Nándori, Peter Bálint, Péter Gilbert, Thomas Szász, Domokos Tóth, Imre Péter 0000-0001-8238-6653 |
Keywords: | Transport processes & heat transfer chaotic billiards mean free path stochastic processes |
Issue Date: | 2015 |
Publisher: | Springer |
Citation: | Bálint, P., Gilbert, T., Nándori, P., Szász, D., & Tóth, I. P. (2015). On the limiting Markov process of energy exchanges in a rarely interacting ball-piston gas. https://doi-org.ezproxy.yu.edu/10.1007/s10955-016-1598-5 |
Series/Report no.: | Journal of Statistical Physics; |
Abstract: | We analyse the process of energy exchanges generated by the elastic collisions between a point-particle, confined to a two-dimensional cell with convex boundaries, and a ‘piston’, i.e. a line-segment, which moves back and forth along a one-dimensional interval partially intersecting the cell. This model can be considered as the elementary building block of a spatially extended high-dimensional billiard modeling heat transport in a class of hybrid materials exhibiting the kinetics of gases and spatial structure of solids. Using heuristic arguments and numerical analysis, we argue that, in a regime of rare interactions, the billiard process converges to a Markov jump process for the energy exchanges and obtain the expression of its generator. |
Description: | Scholarly article / OA (arXiv PDF) |
URI: | http://arxiv.org/abs/1510.06408 https://hdl.handle.net/20.500.12202/9574 |
ISSN: | 0022-4715, 1572-9613 |
Appears in Collections: | Stern College for Women -- Faculty Publications |
Files in This Item:
File | Description | Size | Format | |
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Nandori 2015 OA arXiv On the limiting 1510.06408.pdf | 4.29 MB | Adobe PDF | View/Open |
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