Results 1  10
of
24
Monte Carlo Simulation of Polymers: CoarseGrained Models
"... Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise requires pri ..."
Abstract

Cited by 4 (1 self)
 Add to MetaCart
Permission to make digital or hard copies of portions of this work for personal or classroom use is granted provided that the copies are not made or distributed for profit or commercial advantage and that copies bear this notice and the full citation on the first page. To copy otherwise requires prior specific permission by the publisher mentioned above.
Critical Dynamics in Thin Films
 J. Stat. Phys
, 2006
"... Critical dynamics in film geometry is analyzed within the fieldtheoretical approach. In particular we consider the case of purely relaxational dynamics (Model A) and Dirichlet boundary conditions, corresponding to the socalled ordinary surface universality class on both confining boundaries. The g ..."
Abstract

Cited by 4 (0 self)
 Add to MetaCart
Critical dynamics in film geometry is analyzed within the fieldtheoretical approach. In particular we consider the case of purely relaxational dynamics (Model A) and Dirichlet boundary conditions, corresponding to the socalled ordinary surface universality class on both confining boundaries. The general scaling properties for the linear response and correlation functions and for dynamic Casimir forces are discussed. Within the Gaussian approximation we determine the analytic expressions for the associated universal scaling functions and study quantitatively in detail their qualitative features as well as their various limiting behaviors close to the bulk critical point. In addition we consider the effects of timedependent fields on the fluctuationinduced dynamic Casimir force and determine analytically the corresponding universal scaling functions and their asymptotic behaviors for two specific instances of instantaneous perturbations. The universal aspects of nonlinear relaxation from an initially ordered state are also discussed emphasizing the different crossovers that occur during this evolution. The model considered is relevant to the critical dynamics of actual uniaxial ferromagnetic films with symmetrypreserving conditions at the confining
Hightemperature series for the bonddiluted Ising model in 3, 4 and 5 dimensions
, 2008
"... In order to study the influence of quenched disorder on secondorder phase transitions, hightemperature series expansions of the susceptibility and the free energy are obtained for the quenched bonddiluted Ising model in d = 3–5 dimensions. They are analysed using different extrapolation methods ta ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
In order to study the influence of quenched disorder on secondorder phase transitions, hightemperature series expansions of the susceptibility and the free energy are obtained for the quenched bonddiluted Ising model in d = 3–5 dimensions. They are analysed using different extrapolation methods tailored to the expected singularity behaviours. In d = 4 and 5 dimensions we confirm that the critical behaviour is governed by the pure fixed point up to dilutions near the geometric bond percolation threshold. The existence and form of logarithmic corrections for the pure Ising model in d = 4 is confirmed and our results for the critical behaviour of the diluted system are in agreement with the type of singularity predicted by renormalization group considerations. In three dimensions we find large crossover effects between the pure Ising, percolation and random fixed point. We estimate the critical exponent of the susceptibility to be γ = 1.305(5) at the random fixed point. I.
Dynamic critical behavior of an extended reptation dynamics for selfavoiding walks
 Phys. Rev. E
, 2002
"... We consider lattice selfavoiding walks and discuss the dynamic critical behavior of two dynamics that use local and bilocal moves and generalize the usual reptation dynamics. We determine the integrated and exponential autocorrelation times for several observables, perform a dynamic finitesize sca ..."
Abstract

Cited by 1 (0 self)
 Add to MetaCart
We consider lattice selfavoiding walks and discuss the dynamic critical behavior of two dynamics that use local and bilocal moves and generalize the usual reptation dynamics. We determine the integrated and exponential autocorrelation times for several observables, perform a dynamic finitesize scaling study of the autocorrelation functions, and compute the associated dynamic critical exponents z. For the variables that describe the size of the walks, in the absence of interactions we find z ≈ 2.2 in two dimensions and z ≈ 2.1 in three dimensions. At the θpoint in two dimensions we have z
Properties of phase transitions of higher order ∗
"... There is only limited experimental evidence for the existence in nature of phase transitions of Ehrenfest order greater than two. However, there is no physical reason for their nonexistence, and such transitions certainly exist in a number of theoretical models in statistical physics and lattice fi ..."
Abstract
 Add to MetaCart
There is only limited experimental evidence for the existence in nature of phase transitions of Ehrenfest order greater than two. However, there is no physical reason for their nonexistence, and such transitions certainly exist in a number of theoretical models in statistical physics and lattice field theory. Here, higherorder transitions are analysed through the medium of partition function zeros. Results concerning the distributions of zeros are derived as are scaling relations between some of the critical exponents. PoS(LAT2005)244 XXIIIrd International Symposium on Lattice Field Theory
unknown title
"... Finitetemperature chiral transition in QCD with quarks in the fundamental and adjoint representation. ..."
Abstract
 Add to MetaCart
Finitetemperature chiral transition in QCD with quarks in the fundamental and adjoint representation.
LargeNf behavior of the Yukawa model: analytic results
"... We investigate the Yukawa model in which Nf fermions are coupled with a scalar field φ through a Yukawa interaction. The phase diagram is rather well understood. If the fermions are massless, there is a chiral transition at Tc: for T < Tc chiral symmetry is spontaneously broken. At Nf = ∞ the transi ..."
Abstract
 Add to MetaCart
We investigate the Yukawa model in which Nf fermions are coupled with a scalar field φ through a Yukawa interaction. The phase diagram is rather well understood. If the fermions are massless, there is a chiral transition at Tc: for T < Tc chiral symmetry is spontaneously broken. At Nf = ∞ the transition is meanfield like, while, for any finite Nf, standard arguments predict Ising behavior. This apparent contradiction has been explained by Kogut et al., who showed by scaling arguments and Monte Carlo simulations that in the largeNf limit the width of the Ising critical region scales as a power of 1/Nf, so that only meanfield behavior is observed for Nf strictly equal to infinity. We will show how the results of Kogut et al. can be recovered analytically in the framework of a generalized 1/Nf expansion. The method we use is a simple generalization of the method we have recently applied to a twodimensional generalized Heisenberg model. PoS(LAT2005)187
unknown title
, 2002
"... 25thorder hightemperature expansion results for threedimensional Isinglike systems on the simple cubic lattice. ..."
Abstract
 Add to MetaCart
25thorder hightemperature expansion results for threedimensional Isinglike systems on the simple cubic lattice.
Critical structure factor in Ising systems
, 2002
"... We perform a largescale Monte Carlo simulation of the threedimensional Ising model on simple cubic lattices of size L 3 with L = 128 and 256. We determine the corresponding structure factor (Fourier transform of the twopoint function) and compare it with several approximations and with experiment ..."
Abstract
 Add to MetaCart
We perform a largescale Monte Carlo simulation of the threedimensional Ising model on simple cubic lattices of size L 3 with L = 128 and 256. We determine the corresponding structure factor (Fourier transform of the twopoint function) and compare it with several approximations and with experimental results. We also compute the turbidity as a function of the momentum of the incoming radiation, focusing in particular on the deviations from the OrnsteinZernicke expression of Puglielli and Ford.
Duality and Regge trajectories in the 2D Potts model on square lattice.
, 2009
"... A unified approach to the ferromagnetic two dimensional Potts model on square lattice is proposed. The compatibility with the still to be found solutions of the three (and higher) dimensional Ising model allows one to write down an explicit analytic ansatz for the free energy in terms of few qdepen ..."
Abstract
 Add to MetaCart
A unified approach to the ferromagnetic two dimensional Potts model on square lattice is proposed. The compatibility with the still to be found solutions of the three (and higher) dimensional Ising model allows one to write down an explicit analytic ansatz for the free energy in terms of few qdependent Regge trajectories. The duality symmetry of the 2D Potts model together with the known results on its critical exponent α allow to fix a priori in an analytic way all but one Regge trajectory. The agreement of proposed analytic ansatz with Monte Carlo data and observations in the q = 3 case is remarkable in all the range of temperatures. It is shown that the q> 4 cases naturally fit into the same scheme and that one should also expect a good agreement with Monte Carlo data and observations. The limiting q = 4 case is shortly discussed.