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Finite-size effects on the dynamics of the zero-range process
Shamik Gupta1, Mustansir Barma, Satya N Majumdar
1Department of Theoretical Physics, Tata Institute of Fundamental Research, Homi Bhabha Road, Mumbai, India.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|February 1, 2008
Summary
Finite-size effects reveal distinct dynamics in a one-dimensional zero-range process. The study contrasts a disordered phase with damped oscillations to a condensed phase dominated by condensate relocation.
Area of Science:
- Statistical Mechanics
- Non-equilibrium Physics
Background:
- The one-dimensional zero-range process exhibits a phase transition between disordered and condensed states.
- Understanding finite-size effects is crucial for characterizing non-equilibrium systems.
Purpose of the Study:
- To investigate the impact of finite system size on the dynamics of a one-dimensional zero-range process.
- To analyze the distinct behaviors of current fluctuations in the disordered and condensed phases.
Main Methods:
- Analysis of finite-size effects on the dynamics.
- Study of current fluctuations in steady states.
- Characterization of phase transition dynamics.
Main Results:
- Current fluctuations differ significantly between the disordered and condensed phases.
- In the disordered phase, damped oscillations in current variance are observed due to kinematic wave motion.
- In the condensed phase, dynamics are governed by long-time condensate relocation.
Conclusions:
- Finite-size effects critically influence the dynamics of the zero-range process.
- The distinct behaviors of current fluctuations highlight the differences between the disordered and condensed phases.
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