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We study zero-temperature, stochastic Ising models sigma(t) on a d-dimensional cubic lattice with (disordered) nearest-neighbor couplings independently chosen from a distribution mu on R and an initial spin configuration chosen uniformly at…

无序系统与神经网络 · 物理学 2009-10-31 A. Gandolfi , C. M. Newman , D. L. Stein

Continuous phase transitions are catalogued into universality classes, families of systems having identical values of all the exponents governing the critical behaviour of their different physical properties. Numerical simulations have been…

无序系统与神经网络 · 物理学 2007-05-23 P. O. Mari , I. A. Campbell

The global phase diagram of the Ashkin-Teller spin glass is calculated in d = 3 spatial dimensions by renormalization-group theory. Depending on the value of the positive or negative four-spin interaction, qualitatively different topologies…

无序系统与神经网络 · 物理学 2025-07-08 Alican Saray , A. Nihat Berker

Via extensive Monte Carlo studies we show that the frustrated XY Hamiltonian on a 2-D Penrose lattice admits of a spin glass phase at low temperature. Studies of the Edwards-Anderson order parameter, spin glass susceptibility, and local…

凝聚态物理 · 物理学 2009-10-28 R. W. Reid , S. K. Bose , B. Mitrovic

Ising spin glass models with bimodal, Gaussian, uniform and Laplacian interaction distributions in dimension five are studied through detailed numerical simulations. The data are analyzed in both the finite-size scaling regime and the…

无序系统与神经网络 · 物理学 2017-01-18 P. H. Lundow , I. A. Campbell

We discuss the status of Monte Carlo simulations of (mainly finite dimensional) spin glass systems. After a short historical note and a brief theoretical introduction we start by discussing the (crucial) 3D case: the warm phase, the…

无序系统与神经网络 · 物理学 2016-08-31 Enzo Marinari , Giorgio Parisi , Juan Ruiz-Lorenzo

We show several calculations to identify the critical point in the ground state in random spin systems including spin glasses on the basis of the duality analysis. The duality analysis is a profound method to obtain the precise location of…

无序系统与神经网络 · 物理学 2013-05-21 Masayuki Ohzeki

We study the three-spin model and the Ising spin glass in a field using Migdal-Kadanoff approximation. The flows of the couplings and fields indicate no phase transition, but they show even for the three-spin model a slow crossover to the…

无序系统与神经网络 · 物理学 2009-10-31 Barbara Drossel , Hemant Bokil , M. A. Moore

Distinctive orderings and phase diagram structures are found, from renormalization-group theory, for odd q-state clock spin-glass models in d=3 dimensions. These models exhibit asymmetric phase diagrams, as is also the case for quantum…

统计力学 · 物理学 2015-03-04 Efe Ilker , A. Nihat Berker

We analyze critical points that can be induced in glassy systems by the presence of constraints. These critical points are predicted by the Mean Field Thermodynamic approach and they are precursors of the standard glass transition in…

统计力学 · 物理学 2014-04-01 Silvio Franz , Giorgio Parisi

We perform a numerical study of the phase transitions in three-dimensional Z(N) lattice gauge theories at finite temperature for N>4. Using the dual formulation of the models and a cluster algorithm we locate the position of the critical…

高能物理 - 格点 · 物理学 2015-06-12 O. Borisenko , V. Chelnokov , G. Cortese , M. Gravina , A. Papa , I. Surzhikov

The Ising spin glass model in a transverse field has a zero temperature phase transition driven solely by quantum fluctuations. This quantum phase transition occuring at a critical transverse field strength has attracted much attention…

凝聚态物理 · 物理学 2007-05-23 Heiko Rieger , A. Peter Young

The phase structure of three-dimensional Z(N>4) lattice gauge theories at finite temperature is investigated. Using the dual formulation of the models and a cluster algorithm we locate the critical points of the two transitions, determine…

高能物理 - 格点 · 物理学 2013-10-04 Oleg Borisenko , Volodymyr Chelnokov , Gennaro Cortese , Mario Gravina , Alessandro Papa , Ivan Surzhikov

We use a non-equilibrium simulation method to study the spin glass transition in three-dimensional Ising spin glasses. The transition point is repeatedly approached at finite velocity $v$ (temperature change versus time) in Monte Carlo…

无序系统与神经网络 · 物理学 2015-08-26 C. -W. Liu , A. Polkovnikov , A. W. Sandvik , A. P. Young

Spin glasses are a longstanding model for the sluggish dynamics that appears at the glass transition. However, spin glasses differ from structural glasses for a crucial feature: they enjoy a time reversal symmetry. This symmetry can be…

We consider the three-dimensional $\pm J$ model defined on a simple cubic lattice and study its behavior close to the multicritical Nishimori point where the paramagnetic-ferromagnetic, the paramagnetic-glassy, and the ferromagnetic-glassy…

无序系统与神经网络 · 物理学 2007-11-13 M. Hasenbusch , F. Parisen Toldin , A. Pelissetto , E. Vicari

A p-spin interaction Ashkin-Teller spin glass, with three independent Gaussian probability distributions for the exchange interactions, is studied by means of the replica method. A simple phase diagram is obtained within the…

凝聚态物理 · 物理学 2009-11-07 I. S. Queiroz , F. A. da Costa , F. D. Nobre

The spin-glass phase in the $\LHx$ compound is considered. At zero transverse field this system is well described by the classical Ising model. At finite transverse field deviations from the transverse field quantum Ising model are…

无序系统与神经网络 · 物理学 2007-05-23 M. Schechter , P. C. E. Stamp , N. Laflorencie

The transverse-field Ising models with random exchange interactions in finite dimensions are investigated by means of a real-space renormalization-group method. The scheme yields the exact values of the critical point and critical exponent…

无序系统与神经网络 · 物理学 2015-06-11 Ryoji Miyazaki , Hidetoshi Nishimori

A possible phase in short-range spin glasses exhibiting infinitely many equilibrium states is proposed and characterized in real space. Experimental signatures in equilibrating systems measured with scanning probes are discussed. Some…

无序系统与神经网络 · 物理学 2007-05-23 Olivia L. White , Daniel S. Fisher