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We investigate global phase coherence in a system of coupled oscillators on a small-world networks constructed from a ring with nearest-neighbor edges. The effects of both thermal noise and quenched randomness on phase ordering are examined…

Disordered Systems and Neural Networks · Physics 2009-11-07 H. Hong , M. Y. Choi , Beom Jun Kim

We investigate quantum phase transitions in the extended periodic Anderson model, which includes electron correlations within and between itinerant and localized bands. We calculate zero and finite temperature properties of the system using…

Strongly Correlated Electrons · Physics 2009-11-13 Akihisa Koga , Norio Kawakami , Robert Peters , Thomas Pruschke

We report a fairly detailed finite-size scaling analysis of the first-order phase transition in the three-dimensional 3-state Potts model on cubic lattices with emphasis on recently introduced quantities whose infinite-volume extrapolations…

High Energy Physics - Lattice · Physics 2016-09-01 Wolfhard Janke , Ramon Villanova

The spin-1 quantum Ising systems with three-spin interactions on two-dimensional triangular lattices are studied by mean-field method. The thermal variations of order parameters and phase diagrams are investigated in detail. The stable,…

Statistical Mechanics · Physics 2020-01-01 Hui Jiang , Xiang-Mu Kong

Using large-scale numerical simulations we studied the kinetics of the 2d q-Potts model for q > 4 after a shallow subcritical quench from a high-temperature homogeneous configuration. This protocol drives the system across a first-order…

Statistical Mechanics · Physics 2019-06-25 Federico Corberi , Leticia F Cugliandolo , Marco Esposito , Marco Picco

We employ the microcanonical inflection-point analysis method, developed for the systematic identification and classification of phase transitions in systems of any size, to study the two-dimensional Ising model at various lattice sizes and…

Statistical Mechanics · Physics 2023-06-30 Kedkanok Sitarachu , Michael Bachmann

We consider the $Q$-state Potts model on $\mathbb Z^d$, $Q\ge 3$, $d\ge 2$, with Kac ferromagnetic interactions and scaling parameter $\ga$. We prove the existence of a first order phase transition for large but finite potential ranges.…

Mathematical Physics · Physics 2014-09-25 Thierry Gobron , Immacolata Merola

Using a Monte Carlo method, we study the finite-temperature phase transition in the two-dimensional classical Heisenberg model on a triangular lattice with or without easy-plane anisotropy. The model takes account of competing interactions:…

Statistical Mechanics · Physics 2015-03-19 Ryo Tamura , Naoki Kawashima

The dynamics of first order phase transitions are studied in the context of (3+1)-dimensional scalar field theories. Particular attention is paid to the question of quantifying the strength of the transition, and how `weak' and `strong'…

High Energy Physics - Phenomenology · Physics 2009-10-28 Julian Borrill , Marcelo Gleiser

In the Mott insulating phase of the transition metal oxides, the effective orbital-orbital interaction is directional both in the orbital space and in the real space. We discuss a classical realization of directional coupling in two…

Strongly Correlated Electrons · Physics 2009-11-10 Anup Mishra , Michael Ma , Fu-Chun Zhang , Siegfried Guertler , Lei-Han Tang , Shaolong Wan

In the ordered phase of the 3D Ising model, minority spin clusters are surrounded by a boundary of dual plaquettes. As the temperature is raised, these spin clusters become more numerous, and it is found that eventually their boundaries…

Statistical Mechanics · Physics 2023-05-03 Michael Grady

The application of the collective variables method to the study of the behaviour of nonuniversal characteristics of the system in the critical region is illustrated by an example of the order parameter. Explicit expressions for the order…

Statistical Mechanics · Physics 2013-07-09 I. V. Pylyuk

A brief survey of the theoretical, numerical and experimental studies of the random field Ising model during last three decades is given. Nature of the phase transition in the three-dimensional RFIM with Gaussian random fields is discussed.…

Disordered Systems and Neural Networks · Physics 2009-11-13 Victor Dotsenko

Phase transitions are ubiquitous phenomena, exemplified by the melting of ice and spontaneous magnetization of magnetic material. In general, a phase transition is associated with a symmetry breaking of a system; occurs due to the…

Statistical Mechanics · Physics 2015-12-25 Tasrief Surungan , Yukihiro Komura , Yutaka Okabe

A family of nonequilibrium kinetic Ising models, introduced earlier, evolving under the competing effect of spin flips at {\it zero temperature} and nearest neighbour random spin exchanges is further investigated here. By increasing the…

Condensed Matter · Physics 2009-10-28 N. Menyhard , G. Odor

We theoretically investigate the competition between charge-ordered state and Mott insulating state at finite temperatures in quarter-filled quasi-one-dimensional electron systems, by studying dimerized extended Hubbard chains with…

Strongly Correlated Electrons · Physics 2007-10-09 Hideo Yoshioka , Masahisa Tsuchiizu , Hitoshi Seo

We present a numerical study of the random Blume-Capel model in three dimension. The phase diagram is characterized by spin-glass/paramagnet phase transitions both of first and second order in the thermodynamic sense. Numerical simulations…

Disordered Systems and Neural Networks · Physics 2011-04-12 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

We study phase transitions and the nature of order in a class of classical generalized $O(N)$ nonlinear $\sigma$-models (NLS) constructed by minimally coupling pure NLS with additional degrees of freedom in the form of (i) Ising…

Statistical Mechanics · Physics 2015-12-23 Tirthankar Banerjee , Niladri Sarkar , Abhik Basu

We study a continuous quasi-two-dimensional order-disorder phase transition that occurs in a simple model of a material that is inhomogeneously strained due to the presence of dislocation lines. Performing Monte Carlo simulations of…

Statistical Mechanics · Physics 2010-09-15 Charo I. Del Genio , Kevin E. Bassler

The first-order phase transition in the three-state Potts model with long-range interactions decaying as $1/r^{1+\sigma}$ has been examined by numerical simulations using recently proposed Luijten-Bl\"ote algorithm. By applying scaling…

Statistical Mechanics · Physics 2009-10-31 Zvonko Glumac , Katarina Uzelac