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Finite-size effects in dynamics of zero-range processes.
Janne Juntunen1, Otto Pulkkinen, Juha Merikoski
1Deparment of Physics, University of Jyväskylä, P.O. Box 35, FI-40014 Jyväskylä, Finland. janne.k.juntunen@jyu.fi
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|January 15, 2011
Summary
Finite-size effects in zero-range processes show fluidlike behavior above the critical point up to a specific density. Dynamic properties change qualitatively at this density, revealing new insights into condensation transitions.
Area of Science:
- Statistical Physics
- Complex Systems
Background:
- Zero-range processes exhibit condensation transitions.
- Finite-size effects significantly influence these transitions.
Purpose of the Study:
- Investigate finite-size effects in zero-range processes.
- Characterize the behavior near the thermodynamic critical point.
Main Methods:
- Utilized continuous-time Monte Carlo simulations.
- Analyzed static and dynamic properties of the system.
Main Results:
- Observed fluidlike behavior above the critical point up to a finite-size critical density, ρc(L).
- Determined ρc(L) from the crossover of the largest cluster's average size.
- Identified qualitative changes in dynamical characteristics at ρc(L).
Conclusions:
- Finite-size effects create a distinct density regime with fluidlike behavior.
- The largest cluster's properties and motion dynamics reveal critical transition insights.
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