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Related papers: On universality in aging ferromagnets

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We consider the symmetric two-state 16-vertex model on the square lattice whose vertex weights are invariant under any permutation of adjacent edge states. The vertex-weight parameters are restricted to a critical manifold which is…

Statistical Mechanics · Physics 2020-07-22 Eva Pospíšilová , Roman Krčmár , Andrej Gendiar , Ladislav Šamaj

An asymmetrical 2D Ising model with a zigzag surface, created by diagonally cutting a regular square lattice, has been developed to investigate the thermodynamics and phase transitions on surface by the methodology of recursive lattice,…

Statistical Mechanics · Physics 2019-01-31 Ran Huang , Purushottam D. Gujrati

We study the universal far from equilibrium dynamics of magnons in Heisenberg ferromagnets. We show that such systems exhibit universal scaling in momentum and time of the quasiparticle distribution function, with the universal exponents…

Statistical Mechanics · Physics 2020-12-08 Saraswat Bhattacharyya , Joaquin F. Rodriguez-Nieva , Eugene Demler

To demonstrate the implication of the recent important theorem by Roos, Teufel, Tumulka, and Vogel [1] in a simple but nontrivial example, we study thermalization in the two-dimensional Ising model in the low-temperature phase. We consider…

Statistical Mechanics · Physics 2024-09-17 Hal Tasaki

We solve a long-standing puzzle in Statistical Mechanics of disordered systems. By performing a high-statistics simulation of the D=3 random-field Ising model at zero temperature for different shapes of the random-field distribution, we…

Disordered Systems and Neural Networks · Physics 2013-05-31 Nikolaos G. Fytas , Victor Martin-Mayor

We explore the critical properties of the recently discovered finite-time dynamical phase transition in the non-equilibrium relaxation of Ising magnets after a temperature quench. The transition is characterized by a sudden switch in the…

Statistical Mechanics · Physics 2025-03-03 Nalina Vadakkayil , Massimiliano Esposito , Jan Meibohm

The two-dimensional q-state Potts model is subjected to a Z_q symmetric disorder that allows for the existence of a Nishimori line. At q=2, this model coincides with the +/- J random-bond Ising model. For q>2, apart from the usual pure and…

Statistical Mechanics · Physics 2013-05-29 Jesper Lykke Jacobsen , Marco Picco

We provide strong evidence that the relaxation dynamics of one-dimensional, metallic Fermi systems resulting out of an abrupt amplitude change of the two-particle interaction has aspects which are universal in the Luttinger liquid sense:…

Strongly Correlated Electrons · Physics 2013-01-11 C. Karrasch , J. Rentrop , D. Schuricht , V. Meden

We experimentally test the universality of the Anderson three dimensional metal-insulator transition. Nine sets of parameters controlling the microscopic details of this second order phase transition have been tested. The corresponding…

We investigate the global persistence properties of critical systems relaxing from an initial state with non-vanishing value of the order parameter (e.g., the magnetization in the Ising model). The persistence probability of the global…

Disordered Systems and Neural Networks · Physics 2008-11-26 Raja Paul , Andrea Gambassi , Gregory Schehr

The displacive structural phase transition in a two-dimensional model solid due to Benassi and co-workers [PRL 106, 256102 (2011)] is analyzed using Monte Carlo simulations and finite-size scaling. The model is shown to be a member of the…

Statistical Mechanics · Physics 2018-12-17 Richard L. C. Vink

Quasicritical exponents of one-dimensional models displaying a quasitransition at finite temperatures are examined in detail. The quasitransition is characterized by intense sharp peaks in physical quantities such as specific heat and…

Statistical Mechanics · Physics 2019-05-01 Onofre Rojas , Jozef Strecka , Marcelo Leite Lyra , Sergio Martins de Souza

We experimentally study the critical properties of the non-equilibrium solid-liquid-like transition that takes place in vibrated granular matter. The critical dynamics is characterized by the coupling of the density field with the…

Statistical Mechanics · Physics 2015-06-23 Gustavo Castillo , Nicolás Mujica , Rodrigo Soto

We study the 3D anisotropic Hubbard model on a cubic lattice with hopping parameter $t$ in the $x$- and $y$-directions and a possibly different hopping parameter $t_z$ in the $z$-direction; this model interpolates between the 2D and 3D…

Mathematical Physics · Physics 2025-01-30 E. Langmann , J. Lenells

Finite-temperature phase transitions in quasi-one-dimensional quarter-filled systems are investigated by the extended Hubbard model with electron-lattice coupling. Using a quantum Monte Carlo method combined with the inter-chain mean-field…

Strongly Correlated Electrons · Physics 2008-11-11 Yuichi Otsuka , Hitoshi Seo , Yukitoshi Motome , Takeo Kato

We discover an example where the dissociation of the Z2 vortices occurs at the second-order phase transition point. We investigate the nature of phase transition in a classical Heisenberg model on a distorted triangular lattice with…

Statistical Mechanics · Physics 2013-06-05 Ryo Tamura , Shu Tanaka , Naoki Kawashima

We study a nonequilibrium Ising model that stochastically evolves under the simultaneous operation of several spin-flip mechanisms. In other words, the local magnetic fields change sign randomly with time due to competing kinetics. This…

Statistical Mechanics · Physics 2015-05-18 Nuno Crokidakis

We study sample-to-sample fluctuations in a critical two-dimensional Ising model with quenched random ferromagnetic couplings. Using replica calculations in the renormalization group framework we derive explicit expressions for the…

Statistical Mechanics · Physics 2017-03-13 Victor Dotsenko , Yurij Holovatch , Maxym Dudka , Martin Weigel

In this work we present a thorough analysis of the phase transitions that occur in a ferromagnetic 2D Ising model, with only nearest-neighbors interactions, in the framework of the Tsallis nonextensive statistics. We performed Monte Carlo…

Statistical Mechanics · Physics 2011-07-01 N. Crokidakis , D. O. Soares-Pinto , M. S. Reis , A. M. Souza , R. S. Sarthour , I. S. Oliveira

A generalised form of time-translation-invariance permits to re-derive the known generic phenomenology of ageing, which arises in classical many-body systems after a quench from an initially disordered system to a temperature $T\leq T_c$,…

Statistical Mechanics · Physics 2025-05-30 Malte Henkel