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Condensation in the inclusion process and related models
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Grosskinsky, Stefan, Redig, Frank and Vafayi, Kiamars (2011) Condensation in the inclusion process and related models. Journal of Statistical Physics, Vol.142 (No.5). pp. 952-974. doi:10.1007/s10955-011-0151-9 ISSN 1572-9613.
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Official URL: http://dx.doi.org/10.1007/s10955-011-0151-9
Abstract
We study condensation in several particle systems related to the inclusion process.
For an asymmetric one-dimensional version with closed boundary conditions and drift to the
right, we show that all but a finite number of particles condense on the right-most site. This
is extended to a general result for independent random variables with different tails, where
condensation occurs for the index (site) with the heaviest tail, generalizing also previous
results for zero-range processes. For inclusion processes with homogeneous stationary measures
we establish condensation in the limit of vanishing diffusion strength in the dynamics,
and give several details about how the limit is approached for finite and infinite systems. Finally,
we consider a continuous model dual to the inclusion process, the so-called Brownian
energy process, and prove similar condensation results.
Item Type: | Journal Article | ||||
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Subjects: | Q Science > QA Mathematics | ||||
Divisions: | Faculty of Science, Engineering and Medicine > Science > Mathematics | ||||
Library of Congress Subject Headings (LCSH): | Condensation -- Mathematical models, Particles -- Mathematical models | ||||
Journal or Publication Title: | Journal of Statistical Physics | ||||
Publisher: | Springer New York LLC | ||||
ISSN: | 1572-9613 | ||||
Official Date: | 2011 | ||||
Dates: |
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Volume: | Vol.142 | ||||
Number: | No.5 | ||||
Page Range: | pp. 952-974 | ||||
DOI: | 10.1007/s10955-011-0151-9 | ||||
Status: | Peer Reviewed | ||||
Publication Status: | Published | ||||
Access rights to Published version: | Open Access (Creative Commons) | ||||
Date of first compliant deposit: | 16 December 2015 | ||||
Date of first compliant Open Access: | 16 December 2015 |
Data sourced from Thomson Reuters' Web of Knowledge
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