Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors

1984 ◽  
Vol 34 (3-4) ◽  
pp. 497-537 ◽  
Author(s):  
Sheldon Katz ◽  
Joel L. Lebowitz ◽  
Herbert Spohn
Keyword(s):  
Lattice Gas ◽  
Steady States ◽  
Nonequilibrium Steady States ◽  
Ionic Conductors ◽  
Stochastic Lattice Gas ◽  
Fast Ionic Conductors ◽  
Lattice Gas Models

scholarly journals On the Mean Residence Time in Stochastic Lattice-Gas Models

2018 ◽  
Vol 174 (1) ◽  
pp. 120-134 ◽  
Author(s):  
Marco Zamparo ◽  
Luca Dall’Asta ◽  
Andrea Gamba
Keyword(s):  
Residence Time ◽  
Mean Residence Time ◽  
Lattice Gas ◽  
Stochastic Lattice Gas ◽  
Lattice Gas Models ◽  
The Mean

scholarly journals Nonequilibrium Transport and Phase Transitions in Driven Diffusion of Interacting Particles

2020 ◽  
Vol 75 (5) ◽  
pp. 449-463
Author(s):  
Dominik Lips ◽  
Artem Ryabov ◽  
Philipp Maass
Keyword(s):  
Current Density ◽  
Lattice Gas ◽  
Yukawa Potential ◽  
Exclusion Process ◽  
Quantum Spin ◽  
Nonequilibrium Steady States ◽  
Interacting Particles ◽  
Driven Diffusive Systems ◽  
Periodic Potentials ◽  
Symmetry Effect

AbstractDriven diffusive systems constitute paradigmatic models of nonequilibrium physics. Among them, a driven lattice gas known as the asymmetric simple exclusion process (ASEP) is the most prominent example for which many intriguing exact results have been obtained. After summarising key findings, including the mapping of the ASEP to quantum spin chains, we discuss the recently introduced Brownian ASEP (BASEP) as a related class of driven diffusive system with continuous space dynamics. In the BASEP, driven Brownian motion of hardcore-interacting particles through one-dimensional periodic potentials is considered. We study whether current–density relations of the BASEP can be considered as generic for arbitrary periodic potentials and whether repulsive particle interactions other than hardcore lead to similar results. Our findings suggest that shapes of current–density relations are generic for single-well periodic potentials and can always be attributed to the interplay of a barrier reduction, blocking, and exchange symmetry effect. This implies that in general up to five different phases of nonequilibrium steady states are possible for such potentials. The phases can occur in systems coupled to particle reservoirs, where the bulk density is the order parameter. For multiple-well periodic potentials, more complex current–density relations are possible, and more phases can appear. Taking a repulsive Yukawa potential as an example, we show that the effects of barrier reduction and blocking on the current are also present. The exchange symmetry effect requires hardcore interactions, and we demonstrate that it can still be identified when hardcore interactions are combined with weak Yukawa interactions. The robustness of the collective dynamics in the BASEP with respect to variations of model details can be a key feature for a successful observation of the predicted current–density relations in actual physical systems.

Microstructural Effects on Conduction Properties of Na5YSi4 O 12‐Type Glass‐Ceramic Na + ‐Fast Ionic Conductors

1996 ◽  
Vol 143 (7) ◽  
pp. 2180-2186 ◽  
Author(s):  
Kimihiro Yamashita ◽  
Takao Umegaki ◽  
Masashi Tanaka ◽  
Toshiya Kakuta ◽  
Takeshi Nojiri
Keyword(s):  
Glass Ceramic ◽  
Ionic Conductors ◽  
Fast Ionic Conductors ◽  
Microstructural Effects ◽  
Conduction Properties
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