Vladislav Popkov et al 2008 J. Phys. A: Math. Theor. 41 432002 doi:10.1088/1751-8113/41/43/432002
Spontaneous symmetry breaking in a bridge model fed by junctions
FREE ARTICLEVladislav Popkov1,2, Martin R Evans3 and David Mukamel4
Show affiliationsFAST TRACK COMMUNICATION
We introduce a class of 1D models mimicking a single-lane bridge with two junctions and two particle species driven in opposite directions. The model exhibits spontaneous symmetry breaking (SSB) for a range of injection/extraction rates. In this phase the steady-state currents of the two species are not equal. Moreover, there is a co-existence region in which the symmetry-broken phase co-exists with a symmetric phase. Along a path in which the extraction rate is varied, keeping the injection rate fixed and large, hysteresis takes place. The mean-field phase diagram is calculated and supporting Monte Carlo simulations are presented. One of the transition lines exhibits a kink, a feature which cannot exist in transition lines of equilibrium phase transitions.
- PACS
- MSC
-
82C26 Dynamic and nonequilibrium phase transitions (general)
82C80 Numerical methods (Monte Carlo, series resummation, etc.)
60Bxx Probability theory on algebraic and topological structures
- Subjects
- Dates
-
Issue 43 (31 October 2008)
Received 29 July 2008, in final form 11 September 2008
Published 1 October 2008
-
Spontaneous symmetry breaking in a bridge model fed by junctions
Vladislav Popkov et al 2008 J. Phys. A: Math. Theor. 41 432002
-
New conditional symmetries and exact solutions of reaction–diffusion systems with power diffusivities
Roman Cherniha and Oleksii Pliukhin 2008 J. Phys. A: Math. Theor. 41 185208
-
Hannay angle and geometric phase shifts under adiabatic parameter changes in classical dissipative systems
N A Sinitsyn and J Ohkubo 2008 J. Phys. A: Math. Theor. 41 262002
-
The study of optimizing growth conditions for improving field emission property of W18O49 nanorod arrays
L F Chi et al 2009 J. Phys.: Conf. Ser. 188 012021
-
Quasi-long-range order in the 2D XY model with random phase shifts
Vincenzo Alba et al 2009 J. Phys. A: Math. Theor. 42 295001
-
Physics of brain dynamics: Fokker–Planck analysis reveals changes in EEG δ–θ interactions in anæsthesia
A Bahraminasab et al 2009 New J. Phys. 11 103051
-
Dark energy and inhomogeneity
G F R Ellis 2009 J. Phys.: Conf. Ser. 189 012011
-
Design of compliant mechanisms with selective compliance
Alexander Hasse and Lucio Flavio Campanile 2009 Smart Mater. Struct. 18 115016
-
The generalized geometrical model for the photoionization of polarized atoms: application to linear dichroism in the 2p photoemission from Na 32S and Na* 32P initial states
A N Grum-Grzhimailo et al 2009 J. Phys. B: At. Mol. Opt. Phys. 42 171002
-
Differential equations with fractional derivative and universal map with memory
Vasily E Tarasov 2009 J. Phys. A: Math. Theor. 42 465102
Users also read
What's this?- One-dimensional anyons with competing δ-function and derivative δ-function potentials
- Nondiscriminatory propagation on trees
- Magnetic QED
-symmetric extensions of the supersymmetric Korteweg–de Vries equationRelated review articles
What's this?- The effective temperature
- Unconventional phase transitions in a constrained single polymer chain
- On the uncertainty in the regularized solution