Condensation in Temporally Correlated Zero-Range Dynamics
arXiv:0906.0709 · doi:10.1103/PhysRevLett.103.090602
Abstract
Condensation phenomena in non-equilibrium systems have been modeled by the zero-range process, which is a model of particles hopping between boxes with Markovian dynamics. In many cases, memory effects in the dynamics cannot be neglected. In an attempt to understand the possible impact of temporal correlations on the condensate, we introduce and study a process with non-Markovian zero-range dynamics. We find that memory effects have significant impact on the condensation scenario. Specifically, two main results are found: (1) In mean-field dynamics, the steady state corresponds to that of a Markovian ZRP, but with modified hopping rates which can affect condensation, and (2) for nearest-neighbor hopping in one dimension, the condensate occupies two adjacent sites on the lattice and drifts with a finite velocity. The validity of these results in a more general context is discussed.
4 pages, 3 figures
References in corpus (2)
Cited by in corpus (25)
- Generalized Bose-Einstein condensation into multiple states in driven-dissipative systems
- Constraint driven condensation in large fluctuations of linear statistics
- Condensation in stochastic mass transport models: beyond the zero-range process
- Explosive condensation in a mass transport model
- Non-equilibrium steady states of ideal bosonic and fermionic quantum gases
- Condensation in the inhomogeneous zero-range process: an interplay between interaction and diffusion disorder
- Finite size effects and metastability in zero-range condensation
- Pump-power-driven mode switching in a microcavity device and its relation to Bose-Einstein condensation
- Spatiotemporally complete condensation in a non-Poissonian exclusion process
- Random walkers with extreme value memory: modelling the peak-end rule
- Occupation Probabilities and Fluctuations in the Asymmetric Simple Inclusion Process
- Fluctuations in interacting particle systems with memory
- Motion of condensates in non-Markovian zero-range dynamics
- Dynamics of non-Markovian exclusion processes
- Blockage induced condensation controlled by a local reaction
- Participation ratio for constraint-driven condensation with superextensive mass
- Temporally correlated zero-range process with open boundaries: Steady state and fluctuations
- Conditioned random walks and interaction-driven condensation
- A dynamical transition and metastability in a size-dependent zero-range process
- Trapping in bottlenecks: interplay between microscopic dynamics and large scale effects
- Interacting elephant random walks
- Emergent motion of condensates in mass-transport models
- Zero range and finite range processes with asymmetric rate functions
- Maintenance of order in a moving strong condensate
- Phase separation transition in anti-ferromagnetically interacting particle systems