3,223 research outputs found
Kinetic induced phase transition
An Ising model with local Glauber dynamics is studied under the influence of
additional kinetic restrictions for the spin-flip rates depending on the
orientation of neighboring spins. Even when the static interaction between the
spins is completely eliminated and only an external field is taken into account
the system offers a phase transition at a finite value of the applied field.
The transition is realized due to a competition between the activation
processes driven by the field and the dynamical rules for the spin-flips. The
result is based on a master equation approach in a quantum formulation.Comment: 13 page
Queueing process with excluded-volume effect
We introduce an extension of the M/M/1 queueing process with a spatial
structure and excluded- volume effect. The rule of particle hopping is the same
as for the totally asymmetric simple exclusion process (TASEP). A
stationary-state solution is constructed in a slightly arranged matrix product
form of the open TASEP. We obtain the critical line that separates the
parameter space depending on whether the model has the stationary state. We
calculate the average length of the model and the number of particles and show
the monotonicity of the probability of the length in the stationary state. We
also consider a generalization of the model with backward hopping of particles
allowed and an alternate joined system of the M/M/1 queueing process and the
open TASEP.Comment: 9 figure
Hierarchy of boundary driven phase transitions in multi-species particle systems
Interacting systems with driven particle species on a open chain or
chains which are coupled at the ends to boundary reservoirs with fixed particle
densities are considered. We classify discontinuous and continuous phase
transitions which are driven by adiabatic change of boundary conditions. We
build minimal paths along which any given boundary driven phase transition
(BDPT) is observed and reveal kinetic mechanisms governing these transitions.
Combining minimal paths, we can drive the system from a stationary state with
all positive characteristic speeds to a state with all negative characteristic
speeds, by means of adiabatic changes of the boundary conditions. We show that
along such composite paths one generically encounters discontinuous and
continuous BDPTs with taking values depending on
the path. As model examples we consider solvable exclusion processes with
product measure states and particle species and a non-solvable
two-way traffic model. Our findings are confirmed by numerical integration of
hydrodynamic limit equations and by Monte Carlo simulations. Results extend
straightforwardly to a wide class of driven diffusive systems with several
conserved particle species.Comment: 12 pages, 11 figure
Through a glass, less darkly? Reassessing convergent and divergent validity in measures of implicit self-esteem
Self-esteem has been traditionally assessed via self-report (explicit self-esteem: ESE). However, the limitations of self-report have prompted efforts to assess self-esteem indirectly (implicit self-esteem: ISE). It has been theorized that ISE and ESE reflect the operation of largely distinct mental systems. However, although low correlations between measures of ISE and ESE empirically support their discriminant validity, similarly low correlations between different measures of ISE do not support their convergent validity. We explored whether such patterns would reemerge if more recently developed, specific, and reliable ISE measures were used. They did, although some convergent validity among ISE measures emerged once confounds resulting from conceptual mismatch, individual differences, and random variability were minimized. Nonetheless, low correlations among ISE measures are not primarily caused by the usual psychometric suspects, and may be the result of other factors including subtle differences between structural features of such measures
On U_q(SU(2))-symmetric Driven Diffusion
We study analytically a model where particles with a hard-core repulsion
diffuse on a finite one-dimensional lattice with space-dependent, asymmetric
hopping rates. The system dynamics are given by the
\mbox{U[SU(2)]}-symmetric Hamiltonian of a generalized anisotropic
Heisenberg antiferromagnet. Exploiting this symmetry we derive exact
expressions for various correlation functions. We discuss the density profile
and the two-point function and compute the correlation length as well
as the correlation time . The dynamics of the density and the
correlations are shown to be governed by the energy gaps of a one-particle
system. For large systems and depend only on the asymmetry. For
small asymmetry one finds indicating a dynamical exponent
as for symmetric diffusion.Comment: 10 pages, LATE
Solution of a class of one-dimensional reaction-diffusion models in disordered media
We study a one-dimensional class of reaction-diffusion models on a
parameters manifold. The equations of motion of the correlation
functions close on this manifold. We compute exactly the long-time behaviour of
the density and correlation functions for
{\it quenched} disordered systems. The {\it quenched} disorder consists of
disconnected domains of reaction. We first consider the case where the disorder
comprizes a superposition, with different probabilistic weights, of finite
segments, with {\it periodic boundary conditions}. We then pass to the case of
finite segments with {\it open boundary conditions}: we solve the ordered
dynamics on a open lattice with help of the Dynamical Matrix Ansatz (DMA) and
investigate further its disordered version.Comment: 11 pages, no figures. To appear in Phys.Rev.
Why spontaneous symmetry breaking disappears in a bridge system with PDE-friendly boundaries
We consider a driven diffusive system with two types of particles, A and B,
coupled at the ends to reservoirs with fixed particle densities. To define
stochastic dynamics that correspond to boundary reservoirs we introduce
projection measures. The stationary state is shown to be approached dynamically
through an infinite reflection of shocks from the boundaries. We argue that
spontaneous symmetry breaking observed in similar systems is due to placing
effective impurities at the boundaries and therefore does not occur in our
system. Monte-Carlo simulations confirm our results.Comment: 24 pages, 7 figure
Reaction-controlled diffusion
The dynamics of a coupled two-component nonequilibrium system is examined by
means of continuum field theory representing the corresponding master equation.
Particles of species A may perform hopping processes only when particles of
different type B are present in their environment. Species B is subject to
diffusion-limited reactions. If the density of B particles attains a finite
asymptotic value (active state), the A species displays normal diffusion. On
the other hand, if the B density decays algebraically ~t^{-a} at long times
(inactive state), the effective attractive A-B interaction is weakened. The
combination of B decay and activated A hopping processes gives rise to
anomalous diffusion, with mean-square displacement ~ t^{1-a} for a
< 1. Such algebraic subdiffusive behavior ensues for n-th order B annihilation
reactions (n B -> 0) with n >=3, and n = 2 for d < 2. The mean-square
displacement of the A particles grows only logarithmically with time in the
case of B pair annihilation (n = 2) and d >= 2 dimensions. For radioactive B
decay (n = 1), the A particles remain localized. If the A particles may hop
spontaneously as well, or if additional random forces are present, the A-B
coupling becomes irrelevant, and conventional diffusion is recovered in the
long-time limit.Comment: 7 pages, revtex, no figures; latest revised versio
Diffusion-Annihilation in the Presence of a Driving Field
We study the effect of an external driving force on a simple stochastic
reaction-diffusion system in one dimension. In our model each lattice site may
be occupied by at most one particle. These particles hop with rates
to the right and left nearest neighbouring site resp. if this
site is vacant and annihilate with rate 1 if it is occupied. We show that
density fluctuations (i.e. the moments of the
density distribution at time ) do not depend on the spatial anisotropy
induced by the driving field, irrespective of the initial condition.
Furthermore we show that if one takes certain translationally invariant
averages over initial states (e.g. random initial conditions) even local
fluctuations do not depend on . In the scaling regime the
effect of the driving can be completely absorbed in a Galilei transformation
(for any initial condition). We compute the probability of finding a system of
sites in its stationary state at time if it was fully occupied at time
.Comment: 17 pages, latex, no figure
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