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One-dimensional directed driven stochastic flow with competing nonlocal and local hopping events has an instability threshold from a populated phase into an empty-road (ER) phase. We implement this in the context of the asymmetric exclusion…

Statistical Mechanics · Physics 2007-08-12 Meesoon Ha , Hyunggyu Park , Marcel den Nijs

We revisit the effects of short-ranged random quenched disorder on the universal scaling properties of the classical $N$-vector model with cubic anisotropy. We set up the nonconserved relaxational dynamics of the model, and study the…

Statistical Mechanics · Physics 2020-09-22 Sudip Mukherjee , Abhik Basu

We study the relation between quantum fluctuations and the significant enhancement of the performance of quantum annealing in a mean-field Hamiltonian. First-order quantum phase transitions were shown to be reduced to second order by…

Quantum Physics · Physics 2017-04-20 Yuki Susa , Johann F. Jadebeck , Hidetoshi Nishimori

This is the second of two articles on the study of a particle system model that exhibits a Turing instability type effect. About the hydrodynamic quations obtained in \cite{CSL17a}, we find conditions under which Turing instability occurs…

Probability · Mathematics 2018-12-26 M. Capanna , N. Soprano-Loto

In this review we discuss the persistence and the related first-passage properties in extended many-body nonequilibrium systems. Starting with simple systems with one or few degrees of freedom, such as random walk and random acceleration…

Statistical Mechanics · Physics 2013-06-26 Alan J. Bray , Satya N. Majumdar , G. Schehr

Unlike typical phase transitions of first and second order, a system displaying the Thouless effect exhibits characteristics of both at the critical point (jumps in the order parameter and anomalously large fluctuations). An $extreme$…

Physics and Society · Physics 2019-10-03 Mohammadmehdi Ezzatabadipour , Weibin Zhang , Kevin E. Bassler , R. K. P. Zia

We consider the effects of the non-local Ising-like "core spin" correlations on the order-parameter fluctuation contribution to the resistivity and thermodynamics of metals showing Ising-like order at finite temperature. We employ the…

Superconductivity · Physics 2010-10-07 Mukul S. Laad , Luis Craco

The $N$-color Ashkin-Teller model corresponds to $N$ Ising models coupled by four-spin interactions. We consider the two-dimensional case in presence of quenched disorder and use scale invariant scattering theory to determine all the…

Statistical Mechanics · Physics 2026-05-29 Youssef Makoudi , Gesualdo Delfino

We consider $N$ two-dimensional Ising models coupled in presence of quenched disorder and use scale invariant scattering theory to exactly show the presence of a line of renormalization group fixed points for any fixed value of $N$ other…

Statistical Mechanics · Physics 2025-01-28 Gesualdo Delfino

Randomness plays a key role in the order transition of active matter but has not yet been explicitly considered in pairwise interaction connection. In this letter, we introduce the perception rate P into the Vicsek model as the probability…

Soft Condensed Matter · Physics 2025-01-22 Ruizhi Jin , Kejun Dong

Recently it was argued that quantum phase transitions can be radically different from classical phase transitions with as a highlight the 'deconfined critical points' exhibiting fractionalization of quantum numbers due to Berry phase…

Strongly Correlated Electrons · Physics 2009-11-11 Frank Krüger , Stefan Scheidl

We investigate the effect of quenched bond disorder on the two-dimensional three-color Ashkin-Teller model, which undergoes a first-order phase transition in the absence of impurities. This is one of the simplest and striking models in…

Disordered Systems and Neural Networks · Physics 2015-06-24 Arash Bellafard , Sudip Chakravarty , Matthias Troyer , Helmut G. Katzgraber

The origin of the non commutativity of the limits $t \to \infty$ and $N \to \infty$ in the dynamics of first order transitions is investigated. In the large-N model, i.e. $N \to \infty$ taken first, the low temperature phase is…

Statistical Mechanics · Physics 2009-10-30 C. Castellano , F. Corberi , M. Zannetti

In this paper we analyze the second-order Kuramoto model presenting a positive correlation between the heterogeneity of the connections and the natural frequencies in scale-free networks. We numerically show that discontinuous transitions…

Chaotic Dynamics · Physics 2015-06-11 Thomas K. DM. Peron , Peng Ji , Francisco A. Rodrigues , Jürgen Kurths

Robustness of two coupled networks system has been studied only for dependency coupling (S. Buldyrev et. al., Nature, 2010) and only for connectivity coupling (E. A. Leicht and R. M. D'Souza, arxiv:09070894). Here we study, using a…

Physics and Society · Physics 2015-05-28 Yanqing Hu , Baruch Ksherim , Reuven Cohen , Shlomo Havlin

We study stationary fluctuations in two models involving $N$ Brownian particles undergoing stochastic resetting to the origin in 1d. We start with the basic reset model where the particles reset independently (model A). Then we introduce…

Statistical Mechanics · Physics 2022-08-31 Ohad Vilk , Michael Assaf , Baruch Meerson

Using high-precision Monte Carlo simulations and finite-size scaling we study the effect of quenched disorder in the exchange couplings on the Blume-Capel model on the square lattice. The first-order transition for large crystal-field…

Disordered Systems and Neural Networks · Physics 2018-04-18 N. G. Fytas , J. Zierenberg , P. E. Theodorakis , M. Weigel , W. Janke , A. Malakis

We study the effect of spatial correlations in the quenched disorder on random quantum magnets at and near a quantum critical point. In the random transverse field Ising systems disorder correlations that decay algebraically with an…

Disordered Systems and Neural Networks · Physics 2009-10-31 H. Rieger , F. Igloi

At low temperatures, indirect excitons formed at the in-plane electron-hole interface in a coupled quantum well structure undergo a spontaneous transition into a spatially modulated state. We report on the control of the instability…

Mesoscale and Nanoscale Physics · Physics 2015-06-05 Sen Yang , L. V. Butov , B. D. Simons , K. L. Campman , A. C. Gossard

We show that in the presence of spinodal instabilities which develop at a first order phase transition, the fluctuations of conserved charges can be as strong as those at the critical end point (CEP). In particular, the net baryon number…

High Energy Physics - Phenomenology · Physics 2008-11-26 C. Sasaki , B. Friman , K. Redlich
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