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Instability of condensation in the zero-range process with random interaction

Abstract:

The zero-range process is a stochastic interacting particle system that is known to exhibit a condensation transition. We present a detailed analysis of this transition in the presence of quenched disorder in the particle interactions. Using rigorous probabilistic arguments we show that disorder changes the critical exponent in the interaction strength below which a condensation transition may occur. The local critical densities may exhibit large fluctuations and their distribution shows an i...

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Publication status:
Published
Peer review status:
Peer reviewed

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Publisher copy:
10.1103/PhysRevE.78.030101

Authors


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Institution:
University of Oxford
Division:
MPLS
Department:
Statistics
Role:
Author
Publisher:
American Physical Society Publisher's website
Journal:
Physical Review E Journal website
Volume:
78
Issue:
3
Pages:
030101(R)
Publication date:
2008-09-01
DOI:
Keywords:
Pubs id:
pubs:680480
UUID:
uuid:3adef1c4-3aab-4708-8b91-68f2f6f8b113
Local pid:
pubs:680480
Source identifiers:
680480
Deposit date:
2017-03-27

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