614 research outputs found
There are No Nice Interfaces in 2+1 Dimensional SOS-Models in Random Media
We prove that in dimension translation covariant Gibbs states
describing rigid interfaces in a disordered solid-on-solid (SOS) cannot exist
for any value of the temperature, in contrast to the situation in .
The prove relies on an adaptation of a theorem of Aizenman and Wehr.
Keywords: Disordered systems, interfaces, SOS-modelComment: 8 pages, gz-compressed Postscrip
Competition between fluctuations and disorder in frustrated magnets
We investigate the effects of impurities on the nature of the phase
transition in frustrated magnets, in d=4-epsilon dimensions. For sufficiently
small values of the number of spin components, we find no physically relevant
stable fixed point in the deep perturbative region (epsilon << 1), contrarily
to what is to be expected on very general grounds. This signals the onset of
important physical effects.Comment: 4 pages, 3 figures, published versio
Phase Transition in the 1d Random Field ising model with long range interaction
We study the one dimensional Ising model with ferromagnetic, long range
interaction which decays as |i-j|^{-2+a}, 1/2< a<1, in the presence of an
external random filed. we assume that the random field is given by a collection
of independent identically distributed random variables, subgaussian with mean
zero. We show that for temperature and strength of the randomness (variance)
small enough with P=1 with respect to the distribution of the random fields
there are at least two distinct extremal Gibbs measures
Motional Broadening in Ensembles With Heavy-Tail Frequency Distribution
We show that the spectrum of an ensemble of two-level systems can be
broadened through `resetting' discrete fluctuations, in contrast to the
well-known motional-narrowing effect. We establish that the condition for the
onset of motional broadening is that the ensemble frequency distribution has
heavy tails with a diverging first moment. We find that the asymptotic
motional-broadened lineshape is a Lorentzian, and derive an expression for its
width. We explain why motional broadening persists up to some fluctuation rate,
even when there is a physical upper cutoff to the frequency distribution.Comment: 6 pages, 4 figure
On the thermodynamics of first-order phase transition smeared by frozen disorder
The simplified model of first-order transition in a media with frozen
long-range transition-temperature disorder is considered. It exhibits the
smearing of the transition due to appearance of the intermediate inhomogeneous
phase with thermodynamics described by the ground state of the short-range
random-field Ising model. Thus the model correctly reproduce the persistence of
first-order transition only in dimensions d > 2, which is found in more
realistic models. It also allows to estimate the behavior of thermodynamic
parameters near the boundaries of the inhomogeneous phase.Comment: 4 page
The Persistence of Current Account Balances and its Determinants: The Implications for Global Rebalancing
Random-cluster representation of the Blume-Capel model
The so-called diluted-random-cluster model may be viewed as a random-cluster
representation of the Blume--Capel model. It has three parameters, a vertex
parameter , an edge parameter , and a cluster weighting factor .
Stochastic comparisons of measures are developed for the `vertex marginal' when
, and the `edge marginal' when q\in[1,\oo). Taken in conjunction
with arguments used earlier for the random-cluster model, these permit a
rigorous study of part of the phase diagram of the Blume--Capel model
Invaded cluster algorithm for Potts models
The invaded cluster algorithm, a new method for simulating phase transitions,
is described in detail. Theoretical, albeit nonrigorous, justification of the
method is presented and the algorithm is applied to Potts models in two and
three dimensions. The algorithm is shown to be useful for both first-order and
continuous transitions and evidently provides an efficient way to distinguish
between these possibilities. The dynamic properties of the invaded cluster
algorithm are studied. Numerical evidence suggests that the algorithm has no
critical slowing for Ising models.Comment: 39 pages, revtex, 15 figures available on request from
[email protected], to appear in Phys. Rev.
Percolation on the average and spontaneous magnetization for q-states Potts model on graph
We prove that the q-states Potts model on graph is spontaneously magnetized
at finite temperature if and only if the graph presents percolation on the
average. Percolation on the average is a combinatorial problem defined by
averaging over all the sites of the graph the probability of belonging to a
cluster of a given size. In the paper we obtain an inequality between this
average probability and the average magnetization, which is a typical extensive
function describing the thermodynamic behaviour of the model
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