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Keywords
(2)
Driven Diffusive Systems
Spontaneous Symmetry Breaking
Related Publications
(12)
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Phase Separation in OneDimensional Driven Diffusive Systems
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Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System
Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System,10.1103/PhysRevLett.74.208,Physical Review Letters,M. R. Evans,D. Foster,C.
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Spontaneous Symmetry Breaking in a One Dimensional Driven Diffusive System
(
Citations: 30
)
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M. R. Evans
,
D. Foster
,
C. Godrèche
,
D. Mukamel
Journal:
Physical Review Letters  PHYS REV LETT
, vol. 74, no. 2, pp. 208211, 1995
DOI:
10.1103/PhysRevLett.74.208
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Citation Context
(16)
...In contrast, the number of models including bidirectional transport, which therefore take the opposed direction of kinesin’s and dynein’s motion along MTs into account, is rather limited (e.g., [
22
, 23, 24, 25])...
Maximilian Ebbinghaus
,
et al.
A model for bidirectional traffic of cytoskeletal motors
...• In nonequilibrium systems nothing prevents the existence of phase transitions in one dimension [9]–[11], [32], [
62
]–[72]...
Bernard Derrida
.
Nonequilibrium steady states: fluctuations and large deviations of th...
...So it came as a bit of a surprise that in a quite simple stochastic (and hence noisy) lattice model of a driven diffusive system with shortrange interactions SSB was observed [
1
, 2]. In this socalled bridge model, two species of particles A, B move in opposite directions with rate 1 and are injected with rate α and ejected with rate β at the boundary sites...
...In the first halfstep the following processes take place: At site 1 it is attempted to create a particle of species A with probability α ∈ [0,
1
] if the site is empty, or to annihilate a particle of species B with probability β ∈ [0,1], provided the site is occupied by such a particle:...
...In the first halfstep the following processes take place: At site 1 it is attempted to create a particle of species A with probability α ∈ [0,1] if the site is empty, or to annihilate a particle of species B with probability β ∈ [0,
1
], provided the site is occupied by such a particle:...
...The original bridge model [
1
, 2] arises as the continuoustime limit of this model with stochastic hopping and has the same symmetry...
...It is an intriguing open question whether similar mechanisms are at work in the original bridge model of [
1
, 2]...
Stefan Großkinsky
,
et al.
Rigorous Results on Spontaneous Symmetry Breaking in a OneDimensional...
...Yet there is a number of theoretical analyses [4‐14], and the study of counterflow is not limited to pedestrian coun terflow, for example counterflow has recently attracted some interest on ant trails [1 5], the dynamics of motor molecules [16], and basic theoretical investigations [
17
] ...
Tobias Kretz
,
et al.
Experimental study of pedestrian counterflow in a corridor
...This model was first introduced in [
4
] in the context of particles with exclusion, and a Gibbs form corresponding to reversibility has been found in [5] in some cases...
Guy Fayolle
,
et al.
Stochastic Deformations of Sample Paths of Random Walks and Exclusion ...
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Citations
(30)
Spontaneous symmetry breaking in a twolane model for bidirectional overtaking traffic
C. AppertRolland
,
H. J. Hilhorst
,
G. Schehr
Journal:
Journal of Statistical Mechanicstheory and Experiment  J STAT MECHTHEORY EXP
, vol. 8, no. 08, 2010
Dynamical Critical Exponent for TwoSpecies Totally Asymmetric Diffusion on a Ring
Birgit WehefritzKaufmann
Journal:
Symmetry Integrability and Geometrymethods and Applications  SYMMETRY INTEGR GEOM
, 2010
Cellular Automata : a virtual laboratory for physicists
Cécile AppertRolland
Published in 2010.
A model for bidirectional traffic of cytoskeletal motors
(
Citations: 4
)
Maximilian Ebbinghaus
,
Ludger Santen
Journal:
Journal of Statistical Mechanicstheory and Experiment  J STAT MECHTHEORY EXP
, vol. 3, no. 03, 2009
Phase Separation in a Bidirectional TwoLane Asymmetric Exclusion Process
Rui Jiang
,
Katsuhiro Nishinari
,
MaoBin Hu
,
YongHong Wu
,
QingSong Wu
Journal:
Journal of Statistical Physics  J STATIST PHYS
, vol. 136, no. 1, pp. 7388, 2009