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This study investigates in detail the finite-size scaling of the two-dimensional irrationally frustrated XY model. By means of Monte Carlo simulations with entropic sampling, we examine the size dependence of the specific heat, and find…

Condensed Matter · Physics 2007-05-23 Sung Yong Park , M. Y. Choi , Beom Jun Kim , Gun Sang Jeon , Jean S. Chung

Quantum antiferromagnets have proven to be some of the cleanest realizations available for theoretical, numerical, and experimental studies of quantum fluctuation effects. At finite temperatures, however, the additional effects of thermal…

Strongly Correlated Electrons · Physics 2016-04-28 A. Honecker , S. Wessel , R. Kerkdyk , T. Pruschke , F. Mila , B. Normand

We analyse the aging dynamics of the one-dimensional Fredrickson-Andersen (FA) model in the nonequilibrium regime following a low temperature quench. Relaxation then effectively proceeds via diffusion limited pair coagulation (DLPC) of…

Statistical Mechanics · Physics 2007-05-23 Peter Mayer , Peter Sollich

We consider the $\pm J$ Ising model on a cubic lattice with a gauge-invariant disorder distribution. Disorder depends on a parameter $\beta_G$ that plays the role of a chemical potential for the amount of frustration. We study the model at…

Disordered Systems and Neural Networks · Physics 2019-04-30 Angelo Giorgio Cavaliere , Andrea Pelissetto

The observation of a separation between the antiferromagnetic phase boundary and the small-large Fermi surface transition in recent experiments has led to the proposal that frustration is an important additional tuning parameter in the…

Strongly Correlated Electrons · Physics 2010-10-04 Piers Coleman , Andriy H. Nevidomskyy

We study ordering mechanisms which are induced by the quantum fluctuation in fully frustrated Ising spin systems. Since there are many degenerated states in frustrated systems, "order by thermal disorder" often takes place due to a kind of…

Statistical Mechanics · Physics 2011-04-19 Shu Tanaka , Masaki Hirano , Seiji Miyashita

Numerical studies are providing novel information on the physical processes associated to physical aging. The process of aging has been shown to consist in a slow process of explorations of deeper and deeper minima of the system potential…

Soft Condensed Matter · Physics 2009-11-07 Stefano Mossa , Giancarlo Ruocco , Francesco Sciortino , Piero Tartaglia

Building on an analogy with conformal invariance, local scale transformations consistent with dynamical scaling are constructed. Two types of local scale invariance are found which act as dynamical space-time symmetries of certain non-local…

Statistical Mechanics · Physics 2007-05-23 Malte Henkel

We consider the modified Ising model introduced by de Oliveira et al. [J.Phys.A {\bf 26}, 2317 (1993)], where the temperature depends locally on the spin configuration and detailed balance and local equilibrium are not obeyed. We derive a…

Statistical Mechanics · Physics 2009-09-29 Natascia Andrenacci , Federico Corberi , Eugenio Lippiello

We consider the effect of geometric frustration induced by the random distribution of loop lengths in the "fat" graphs of the dynamical triangulations model on coupled antiferromagnets. While the influence of such connectivity disorder is…

Disordered Systems and Neural Networks · Physics 2008-11-26 Martin Weigel , Des Johnston

In contrast to lattice systems where powerful numerical techniques such as matrix product state based methods are available to study the non-equilibrium dynamics, the non-equilibrium behaviour of continuum systems is much harder to…

Statistical Mechanics · Physics 2019-03-20 Tibor Rakovszky , Márton Mestyán , Mario Collura , Márton Kormos , Gábor Takács

Via computer simulations we study kinetics of pattern formation in a two-dimensional active matter system. Self-propulsion in our model is incorporated via the Vicsek-like activity, i.e., particles have the tendency of aligning their…

Soft Condensed Matter · Physics 2020-08-26 Saikat Chakraborty , Subir K. Das

We conjecture the existence of a relationship between frustration and the transition point at zero temperature of Ising spin glasses. The relation reveals that, in several Ising spin glass models, the concentration of ferromagnetic bonds is…

Disordered Systems and Neural Networks · Physics 2013-08-05 Ryoji Miyazaki

A fluctuation relation for aging systems is introduced, and verified by extensive numerical simulations. It is based on the hypothesis of partial equilibration over phase space regions in a scenario of entropy-driven relaxation. The…

Statistical Mechanics · Physics 2013-04-18 A. Crisanti , M. Picco , F. Ritort

Reaction-diffusion systems with reversible reactions generically display power-law relaxation towards chemical equilibrium. In this work we investigate through numerical simulations aging processes that characterize the non-equilibrium…

Statistical Mechanics · Physics 2011-06-10 Nasrin Afzal , Justin Waugh , Michel Pleimling

We study the non-equilibrium dynamics of an isolated bipartite quantum system, the sunburst quantum Ising model, under interaction quench. The pre-quench limit of this model is two non-interacting integrable systems, namely a transverse…

Quantum Physics · Physics 2024-02-01 Akash Mitra , Shashi C. L. Srivastava

We study a composite quantum quench of the energy gap and the interactions in the interacting \phi^4 model using a self-consistent approximation. Firstly we review the results for free theories where a quantum quench of the energy gap or…

Quantum Physics · Physics 2014-11-20 Spyros Sotiriadis , John Cardy

We study the emergent behavior of a second-order Kuramoto-type model with frustration effect on a strongly connected digraph. The main challenge arises from the lack of symmetry in this system, which renders standard approaches for…

Dynamical Systems · Mathematics 2025-10-21 Tingting Zhu , Xiongtao Zhang

We report a nuclear magnetic resonance experiment, which simulates the quantum transverse Ising spin system in a triangular configuration and further show that the monogamy of quantum correlations can be used to distinguish between the…

Quantum Physics · Physics 2013-08-20 K. Rama Koteswara Rao , Hemant Katiyar , T. S. Mahesh , Aditi Sen De , Ujjwal Sen , Anil Kumar

We have studied the antiferromagnetic Ising model on the icosahedral bcc lattice, as a model system of 1/1 approximant Tsai-type quasicrystals. We addressed thermal equilibrium properties of this system with Markov-chain Monte Carlo…

Strongly Correlated Electrons · Physics 2026-04-03 Oscar Novat , Ludovic D. C. Jaubert , Masafumi Udagawa
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