329 research outputs found
Critical behavior of a non-equilibrium interacting particle system driven by an oscillatory field
First- and second-order temperature driven transitions are studied, in a
lattice gas driven by an oscillatory field. The short time dynamics study
provides upper and lower bounds for the first-order transition points obtained
using standard simulations. The difference between upper and lower bounds is a
measure for the strength of the first-order transition and becomes negligible
small for densities close to one half. In addition, we give strong evidence on
the existence of multicritical points and a critical temperature gap, the
latter induced by the anisotropy introduced by the driving field.Comment: 12 pages, 4 figures; to appear in Europhys. Let
Systematic Series Expansions for Processes on Networks
We use series expansions to study dynamics of equilibrium and non-equilibrium
systems on networks. This analytical method enables us to include detailed
non-universal effects of the network structure. We show that even low order
calculations produce results which compare accurately to numerical simulation,
while the results can be systematically improved. We show that certain commonly
accepted analytical results for the critical point on networks with a broad
degree distribution need to be modified in certain cases due to
disassortativity; the present method is able to take into account the
assortativity at sufficiently high order, while previous results correspond to
leading and second order approximations in this method. Finally, we apply this
method to real-world data.Comment: 4 pages, 3 figure
Generalized contact process with two symmetric absorbing states in two dimensions
We explore the two-dimensional generalized contact process with two absorbing
states by means of large-scale Monte-Carlo simulations. In part of the phase
diagram, an infinitesimal creation rate of active sites between inactive
domains is sufficient to take the system from the inactive phase to the active
phase. The system therefore displays two different nonequilibrium phase
transitions. The critical behavior of the generic transition is compatible with
the generalized voter (GV) universality class, implying that the
symmetry-breaking and absorbing transitions coincide. In contrast, the
transition at zero domain-boundary activation rate is not critical.Comment: 7 pages, 7 eps figures included, final version as publishe
Unequal Intra-layer Coupling in a Bilayer Driven Lattice Gas
The system under study is a twin-layered square lattice gas at half-filling,
being driven to non-equilibrium steady states by a large, finite `electric'
field. By making intra-layer couplings unequal we were able to extend the phase
diagram obtained by Hill, Zia and Schmittmann (1996) and found that the
tri-critical point, which separates the phase regions of the stripped (S) phase
(stable at positive interlayer interactions J_3), the filled-empty (FE) phase
(stable at negative J_3) and disorder (D), is shifted even further into the
negative J_3 region as the coupling traverse to the driving field increases.
Many transient phases to the S phase at the S-FE boundary were found to be
long-lived. We also attempted to test whether the universality class of D-FE
transitions under a drive is still Ising. Simulation results suggest a value of
1.75 for the exponent gamma but a value close to 2.0 for the ratio gamma/nu. We
speculate that the D-FE second order transition is different from Ising near
criticality, where observed first-order-like transitions between FE and its
"local minimum" cousin occur during each simulation run.Comment: 29 pages, 19 figure
Non-equilibrium Anisotropic Phases, Nucleation and Critical Behavior in a Driven Lennard-Jones Fluid
We describe short-time kinetic and steady-state properties of the
non--equilibrium phases, namely, solid, liquid and gas anisotropic phases in a
driven Lennard-Jones fluid. This is a computationally-convenient
two-dimensional model which exhibits a net current and striped structures at
low temperature, thus resembling many situations in nature. We here focus on
both critical behavior and details of the nucleation process. In spite of the
anisotropy of the late--time spinodal decomposition process, earlier nucleation
seems to proceed by Smoluchowski coagulation and Ostwald ripening, which are
known to account for nucleation in equilibrium, isotropic lattice systems and
actual fluids. On the other hand, a detailed analysis of the system critical
behavior rises some intriguing questions on the role of symmetries; this
concerns the computer and field-theoretical modeling of non-equilibrium fluids.Comment: 7 pages, 9 ps figures, to appear in PR
Infinite-randomness critical point in the two-dimensional disordered contact process
We study the nonequilibrium phase transition in the two-dimensional contact
process on a randomly diluted lattice by means of large-scale Monte-Carlo
simulations for times up to and system sizes up to
sites. Our data provide strong evidence for the transition being controlled by
an exotic infinite-randomness critical point with activated (exponential)
dynamical scaling. We calculate the critical exponents of the transition and
find them to be universal, i.e., independent of disorder strength. The
Griffiths region between the clean and the dirty critical points exhibits
power-law dynamical scaling with continuously varying exponents. We discuss the
generality of our findings and relate them to a broader theory of rare region
effects at phase transitions with quenched disorder. Our results are of
importance beyond absorbing state transitions because according to a
strong-disorder renormalization group analysis, our transition belongs to the
universality class of the two-dimensional random transverse-field Ising model.Comment: 13 pages, 12 eps figures, final version as publishe
Non-equilibrium relaxation and critical aging for driven Ising lattice gases
We employ Monte Carlo simulations to study the non-equilibrium relaxation of
driven Ising lattice gases in two dimensions. Whereas the temporal scaling of
the density auto-correlation function in the non-equilibrium steady state does
not allow a precise measurement of the critical exponents, these can be
accurately determined from the aging scaling of the two-time auto-correlations
and the order parameter evolution following a quench to the critical point. We
obtain excellent agreement with renormalization group predictions based on the
standard Langevin representation of driven Ising lattice gases.Comment: 5 pages, 4 figures included; to appear in Phys. Rev. Lett. (2012
Is the particle current a relevant feature in driven lattice gases?
By performing extensive MonteCarlo simulations we show that the infinitely
fast driven lattice gas (IDLG) shares its critical properties with the randomly
driven lattice gas (RDLG).
All the measured exponents, scaling functions and amplitudes are the same in
both cases. This strongly supports the idea that the main relevant
non-equilibrium effect in driven lattice gases is the anisotropy (present in
both IDLG and RDLG) and not the particle current (present only in the IDLG).
This result, at odds with the predictions from the standard theory for the
IDLG, supports a recently proposed alternative theory. The case of finite
driving fields is also briefly discussed.Comment: 4 pages. Slightly improved version. Journal Reference: To appear in
Phys. Rev. Let
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