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The universality class of a phase transition is often determined by factors like dimensionality and inherent symmetry. We study the magnetic dipole system in which the ground-state symmetry and the underlying lattice structure are coupled…

统计力学 · 物理学 2015-05-27 Seung Ki Baek , Petter Minnhagen , Beom Jun Kim

It is well known that the 2D XY model exhibits an unusual infinite order phase transition belonging to the Kosterlitz-Thouless (KT) universality class. Introduction of a nematic coupling into the XY Hamiltonian leads to an additional phase…

统计力学 · 物理学 2011-02-16 Fabio Poderoso , Jeferson J. Arenzon , Yan Levin

We explicitly demonstrate the universality of critical dynamics through unprecedented large-scale GPU-based simulations of two out-of-equilibrium processes, comparing the behavior of spin-$1/2$ Ising and spin-$1$ Blume-Capel models on a…

We determine the critical equation of state of three-dimensional randomly dilute Ising systems, i.e. of the random-exchange Ising universality class. We first consider the small-magnetization expansion of the Helmholtz free energy in the…

统计力学 · 物理学 2009-11-10 P. Calabrese , M. De Prato , A. Pelissetto , E. Vicari

We use the single-cluster Monte Carlo update algorithm to simulate the Ising model on two-dimensional Poissonian random lattices of Delaunay type with up to 80\,000 sites. By applying reweighting techniques and finite-size scaling analyses…

高能物理 - 格点 · 物理学 2009-10-22 W. Janke , M. Katoot , R. Villanova

Numerically we simulate the short-time behaviour of the critical dynamics for the two dimensional Ising model and Potts model with an initial state of very high temperature and small magnetization. Critical initial increase of the…

凝聚态物理 · 物理学 2009-10-28 K. Okano , L. Schuelke , K. Yamagishi , B. Zheng

We propose an interpretation of previous experimental and numerical experiments, showing that for a large class of systems, distributions of global quantities are similar to a distribution originally obtained for the magnetization in the…

统计力学 · 物理学 2007-05-23 Maxime Clusel , Jean-Yves Fortin , Peter C. W. Holdsworth

We show that a nominal temperature can be consistently and uniquely defined everywhere in the phase diagram of large classes of nonequilibrium kinetic Ising spin models. In addition, we confirm the recent proposal that, at critical points,…

统计力学 · 物理学 2007-05-23 Francisco Sastre , Ivan Dornic , Hugues Chaté

We discuss the current status of lepton flavour universality observables in semileptonic charged and neutral current $B$ meson decays. We recapitulate the current experimental situation. Assuming the current tensions with the SM are of…

高能物理 - 唯象学 · 物理学 2020-02-05 Nejc Košnik

We study the finite-temperature behaviour of two-dimensional S=1/2 Heisenberg antiferromagnets with very weak easy-axis and easy-plane exchange anisotropies. By means of quantum Monte Carlo simulations, based on the continuous-time loop and…

强关联电子 · 物理学 2007-05-23 Alessandro Cuccoli , Tommaso Roscilde , Valerio Tognetti , Ruggero Vaia , Paola Verrucchi

Two kinds of recursive lattices with the same coordination number but different unit cells (2-D square and 3-D cube) are constructed and the antiferromagnetic Ising model is solved exactly on them to study the stable and metastable states.…

统计力学 · 物理学 2016-06-17 Ran Huang , Purushottam D. Gujrati

We investigate the nonequilibrium behavior of the d-dimensional Ising model with purely dissipative dynamics during its critical relaxation from a magnetized initial configuration. The universal scaling forms of the two-time response and…

统计力学 · 物理学 2011-02-16 Pasquale Calabrese , Andrea Gambassi , Florent Krzakala

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…

统计力学 · 物理学 2009-11-07 Norikazu Todoroki , Yohtaro Ueno , Seiji Miyashita

The emergence of collective oscillations and synchronization is a widespread phenomenon in complex systems. While widely studied in dynamical systems theory, this phenomenon is not well understood in the context of out-of-equilibrium phase…

We propose generalized variants of the $XY$ model capable of exhibiting an arbitrary number of phase transitions only by varying temperature. They are constructed by supplementing the magnetic coupling with $n_t-1$ nematic terms of…

统计力学 · 物理学 2025-10-03 Milan Žukovič

The critical behavior of two-dimensional (2D) anisotropic systems with weak quenched disorder described by the so-called generalized Ashkin-Teller model (GATM) is studied. In the critical region this model is shown to be described by a…

凝聚态物理 · 物理学 2009-10-28 Giancarlo Jug , Boris N. Shalaev

The Ising model S=1/2 and the S=1 model are studied by efficient Monte Carlo schemes on the (3,4,6,4) and the (3,3,3,3,6) Archimedean lattices. The algorithms used, a hybrid Metropolis-Wolff algorithm and a parallel tempering protocol, are…

统计力学 · 物理学 2015-06-04 A. Malakis , G. Gulpinar , Y. Karaaslan , T. Papakonstantinou , G. Aslan

We study systems with a crossover parameter lambda, such as the temperature T, which has a threshold value lambda* across which the correlation function changes from exhibiting fixed wavelength (or time period) modulations to continuously…

统计力学 · 物理学 2015-02-25 Saurish Chakrabarty , Vladimir Dobrosavljevic , Alexander Seidel , Zohar Nussinov

The theory of continuous phase transitions predicts the universal collective properties of a physical system near a critical point, which for instance manifest in characteristic power-law behaviours of physical observables. The…

统计力学 · 物理学 2016-06-24 Matteo Marcuzzi , Emanuele Levi , Weibin Li , Juan P. Garrahan , Beatriz Olmos , Igor Lesanovsky

We discuss the critical properties of the three-dimensional NJL model at nonzero temperature. We show that the Z(2)-symmetric model undergoes a second order phase transition with 2d Ising exponents and its critical region is suppressed by a…

高能物理 - 唯象学 · 物理学 2017-08-23 Costas G. Strouthos