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The critical behaviour of a bond-disordered Ashkin-Teller model on a square lattice is investigated by intensive Monte-Carlo simulations. A duality transformation is used to locate a critical plane of the disordered model. This critical…

凝聚态物理 · 物理学 2009-10-22 S. Wiseman , E. Domany

Using Monte Carlo techniques and a star-triangle transformation, Ising models with random, 'strong' and 'weak', nearest-neighbour ferromagnetic couplings on a square lattice with a (1,1) surface are studied near the phase transition. Both…

统计力学 · 物理学 2009-10-30 F. Igloi , P. Lajko , W. Selke , F. Szalma

We investigate the critical behaviour of both matter and geometry of the three-state Potts model coupled to two-dimensional Lorentzian quantum gravity in the framework of causal dynamical triangulations. Contrary to what general arguments…

高能物理 - 格点 · 物理学 2008-11-26 J. Ambjorn , K. N. Anagnostopoulos , R. Loll , I. Pushkina

For the two dimensional random bond disordered Ising ferromagnet, we measured bulk data of the magnetic susceptibility ($\chi$) and correlation length ($\xi$) up to $\xi \simeq 536$, with the use of a novel finite size scaling Monte Carlo…

凝聚态物理 · 物理学 2016-08-31 Jae-Kwon Kim

We study the purely relaxational critical dynamics with non-conserved order parameter (model A critical dynamics) for three-dimensional magnets with disorder in a form of the random anisotropy axis. For the random axis anisotropic…

无序系统与神经网络 · 物理学 2007-05-23 M. Dudka , R. Folk , Yu. Holovatch , G. Moser

Critical phenomena of ferromagnetic transition at finite temperatures are studied in double-exchange systems. In order to investigate strong interplay between charge and spin degrees of freedom, Monte Carlo technique is applied to include…

强关联电子 · 物理学 2009-11-07 Yukitoshi Motome , Nobuo Furukawa

We consider the critical behavior of two-dimensional Potts models in presence of a bond disorder in which the correlation decays as a power law. In some recent work the thermal sector of this theory was investigated by a renormalization…

无序系统与神经网络 · 物理学 2024-07-19 Ivan Lecce , Marco Picco , Raoul Santachiara

We consider certain two-dimensional systems with self--dual points including uniform and disordered $q$-state Potts models. For systems with continuous energy density (such as the disordered versions) it is established that the self--dual…

统计力学 · 物理学 2007-05-23 Lincoln Chayes , Kirill Shtengel

Stochastic dynamics of a nonconserved scalar order parameter near its critical point, subject to random stirring and mixing, is studied using the field theoretic renormalization group. The stirring and mixing are modelled by a random…

统计力学 · 物理学 2009-11-11 N. V. Antonov , M. Hnatich , J. Honkonen

We have elucidated the dynamic phase transition features and finite-size scaling analysis of the triangular lattice system under the presence of a square-wave magnetic field. It has been found that as the value of half-period of the…

统计力学 · 物理学 2017-06-13 Erol Vatansever

We consider a canonical ensemble of dynamical triangulations of a 2-dimensional sphere with a hole where the number $N$ of triangles is fixed. The Gibbs factor is $\exp (-\mu \sum \deg v)$ where $\deg v$ is the degree of the vertex $v$ in…

广义相对论与量子宇宙学 · 物理学 2011-12-07 V. A. Malyshev

Two dimensional condensed matter is realised in increasingly diverse forms that are accessible to experiment and of potential technological value. The properties of these systems are influenced by many length scales and reflect both generic…

统计力学 · 物理学 2011-07-15 Andrea Taroni , Steven T. Bramwell , Peter C. W. Holdsworth

In the context of Monte Carlo simulations, the analysis of the probability distribution $P_L(m)$ of the order parameter $m$, as obtained in simulation boxes of finite linear extension $L$, allows for an easy estimation of the location of…

软凝聚态物质 · 物理学 2011-05-27 T. Fischer , R. L. C. Vink

We investigate the effects of quenched disorder on the universal properties of a randomly driven Ising lattice gas. The Hamiltonian fixed point of the pure system becomes unstable in the presence of a quenched local bias, giving rise to a…

凝聚态物理 · 物理学 2009-10-28 B. Schmittmann , K. E. Bassler

Inferring the presence of critical dynamics from continuous measure- ments is a challenging problem. We solve this problem by showing that continuous narrowband dynamics from a critical system exhibit qualita- tively differing behaviors…

经典物理 · 物理学 2015-09-01 Duncan A. J. Blythe , Vadim V. Nikulin

Large-scale Monte Carlo simulations of the bond-diluted three-dimensional 4-state Potts model are performed. The phase diagram and the physical properties at the phase transitions are studied using finite-size scaling techniques. Evidences…

统计力学 · 物理学 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

With Monte Carlo simulations, we investigate the relaxation dynamics with a domain wall for magnetic systems at the critical temperature. The dynamic scaling behavior is carefully analyzed, and a dynamic roughening process is observed. For…

统计力学 · 物理学 2012-02-08 N. J. Zhou , B. Zheng

The quantum ferromagnetic transition at zero temperature in disordered itinerant electron systems is considered. Nonmagnetic quenched disorder leads to diffusive electron dynamics that induces an effective long-range interaction between the…

统计力学 · 物理学 2009-10-28 T. R. Kirkpatrick , D. Belitz

We study the critical dynamics of hyper-cubic finite size system in the presence of quenched short-range correlated disorder. By using the random $T_c$ model A for the critical dynamics and the renormalization group method in the vicinity…

无序系统与神经网络 · 物理学 2015-06-25 H. Chamati , E. Korutcheva

Using molecular dynamics simulations, we report a study of the dynamics of two-dimensional vortex lattices driven over a disordered medium. In strong disorder, when topological order is lost, we show that the depinning transition is…

无序系统与神经网络 · 物理学 2010-10-25 Y. Fily , E. Olive , N. Di Scala , J. C. Soret