English
Related papers

Related papers: Non-markovian global persistence in phase-ordering…

200 papers

We present a stability analysis of the 2D t-t' Hubbard model on a square lattice for various values of the next-nearest-neighbor hopping t' and electron concentration. Using the free energy expression, derived by means of the flow equations…

Strongly Correlated Electrons · Physics 2009-11-07 V. Hankevych , F. Wegner

We consider a general honest homogeneous continuous-time Markov process with restarts. The process is forced to restart from a given distribution at time moments generated by an independent Poisson process. The motivation to study such…

Probability · Mathematics 2012-06-26 Konstantin Avrachenkov , Alexei Piunovskiy , Zhang Yi

We study the quenched invariance principle for random conductance models with long range jumps on $\Z^d$, where the transition probability from $x$ to $y$ is, on average, comparable to $|x-y|^{-(d+\alpha)}$ with $\alpha\in (0,2)$ but is…

Probability · Mathematics 2020-05-01 Xin Chen , Takashi Kumagai , Jian Wang

We study the three-dimensional generalized six-state clock model at values of the energy parameters, at which the system is considered to have the same behavior as the stacked triangular antiferromagnetic Ising model and the three-state…

Statistical Mechanics · Physics 2009-11-07 Norikazu Todoroki , Yohtaro Ueno , Seiji Miyashita

We seek to infer the parameters of an ergodic Markov process from samples taken independently from the steady state. Our focus is on non-equilibrium processes, where the steady state is not described by the Boltzmann measure, but is…

Statistical Mechanics · Physics 2018-02-19 Simon Lee Dettmer , Johannes Berg

We study the phase ordering dynamics of the classical antiferromagnetic $J_1$-$J_2$ (nearest-neighbor and next-nearest-neighbor couplings) Heisenberg model on the square lattice in the strong frustration regime ($J_2/J_1 > 1/2$). While…

Strongly Correlated Electrons · Physics 2025-05-02 Yang Yang , Yi-Hsuan Liu , Rafael M. Fernandes , Gia-Wei Chern

In this paper we study the magnetic susceptibility and other thermodynamic properties of the polarized nuclear matter at finite temperature using the lowest order constrained variational (LOCV) method employing the $AV_{18}$ potential. Our…

Nuclear Theory · Physics 2009-11-06 M. Bigdeli , G. H. Bordbar , Z. Rezaei

We study necessary and sufficient criteria for global survival of discrete or continuous-time branching Markov processes. We relate these to several definitions of generalised principle eigenvalues for elliptic operators due to Berestycki…

Probability · Mathematics 2025-05-20 Pascal Maillard , Oliver Tough

We report that special care is needed when longitudinal magnetic susceptibility is computed in a magnetically ordered phase, especially in metals. We demonstrate this by studying static susceptibility in both a ferromagnetic and an…

Strongly Correlated Electrons · Physics 2017-08-09 Kazuhiro Kuboki , Hiroyuki Yamase

The dynamics of the 2D Potts ferromagnet when quenched below the transition temperature is investigated in the case of discontinuous phase transition, which is interesting for understandingthe non equilibrium dynamics of systems with many…

Statistical Mechanics · Physics 2013-01-30 Alberto Petri , Miguel Ibanez de Berganza , Vittorio Loreto

The time-dependent Ginzburg-Landau (TDGL) equation for a single component non-conservative structural order parameter is used to study the spatio-temporal evolution of a second phase in the vicinity of an edge dislocation in an elastic…

Statistical Mechanics · Physics 2012-12-19 Christina Bjerkén , Ali R. Massih

The reduction of a continuous Markov process with multiple metastable states to a discrete rate process is investigated in the presence of slow time dependent parameters such as periodic external forces or slowly fluctuating barrier…

Statistical Mechanics · Physics 2009-11-10 Peter Talkner , Jerzy Luczka

We have measured the low-temperature specific heat C(T) for polycrystalline MgB_2 prepared by high pressure synthesis. C(T) below 10 K vanishes exponentially, which unambiguously indicates a fully opened superconducting energy gap. However,…

Superconductivity · Physics 2009-11-07 H. D. Yang , J. -Y. Lin , H. H. Li , F. H. Hsu , C. J. Liu , S. -C. Li , R. -C. Yu , C. -Q. Jin

A ``persistence'' exponent theta has been extensively used to describe the nonequilibrium dynamics of spin systems following a deep quench: for zero-temperature homogeneous Ising models on the d-dimensional cubic lattice, the fraction p(t)…

Disordered Systems and Neural Networks · Physics 2009-10-31 C. M. Newman , D. L. Stein

We study phase ordering dynamics in the three-dimensional nonconserved XY model, via Monte Carlo simulations, for quenches from paramagnetic phase to certain final temperatures $T_f$ within the ferromagnetic region of the phase diagram. The…

Statistical Mechanics · Physics 2026-05-14 Wasim Akram , Nalina Vadakkayil , Sohini Chatterjee , Subir K. Das

We show that the persistence probability $P(t,L)$, in a coarsening system of linear size $L$ at a time $t$, has the finite size scaling form $P(t,L)\sim L^{-z\theta}f(\frac{t}{L^{z}})$ where $\theta$ is the persistence exponent and $z$ is…

Statistical Mechanics · Physics 2009-10-31 G. Manoj , P. Ray

We analyze the dynamical response of a two-dimensional system of itinerant fermions coupled to a scalar boson $\phi$, which undergoes a continuous transition towards nematic order with $d-$wave form-factor. We consider two cases: (a) when…

Strongly Correlated Electrons · Physics 2018-07-11 Avraham Klein , Samuel Lederer , Debanjan Chowdhury , Erez Berg , Andrey Chubukov

The two-dimensional kinetic Ising model, when exposed to an oscillating applied magnetic field, has been shown to exhibit a nonequilibrium, second-order dynamic phase transition (DPT), whose order parameter Q is the period-averaged…

Statistical Mechanics · Physics 2007-09-12 D. T. Robb , P. A. Rikvold , A. Berger , M. A. Novotny

The peculiar phase-ordering properties of a lattice of coupled chaotic maps studied recently (A. Lema\^\i tre & H. Chat\'e, {\em Phys. Rev. Lett.} {\bf 82}, 1140 (1999)) are revisited with the help of detailed investigations of interface…

Statistical Mechanics · Physics 2016-08-15 Julien Kockelkoren , Anaël Lemaître , Hugues Chaté

We compute the persistence for the $2d$-diffusion equation with random initial condition, i.e., the probability $p_0(t)$ that the diffusion field, at a given point ${\bf x}$ in the plane, has not changed sign up to time $t$. For large $t$,…

Statistical Mechanics · Physics 2018-10-17 Mihail Poplavskyi , Gregory Schehr