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We study the phase diagram and critical behavior of a one dimensional three species monomer-monomer surface reaction model. Static Monte Carlo simulations show a phase diagram consisting of a reactive steady state bordered by three…

Statistical Mechanics · Physics 2009-10-28 Kevin E. Bassler , Dana A. Browne

High accuracy Monte Carlo study has been performed in the modified planar Lebwohl Lasher model containing and interaction, where and are second and fourth order Legendre polynomial having three-dimensional spin. Weakly First order Nematic…

Soft Condensed Matter · Physics 2022-02-01 Enakshi Guru

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 investigate the phase diagram of a spin-$1/2$ Ising model on a cubic lattice, with competing interactions between nearest and next-nearest neighbors along an axial direction, and fully connected spins on the sites of each perpendicular…

Statistical Mechanics · Physics 2015-06-17 E. S. Nascimento , J. P. de Lima , S. R. Salinas

We use Monte Carlo simulation to study the phase diagram of three-dimensional dynamical triangulations with a boundary. Three phases are indentified and characterized. One of these phases is a new, boundary dominated phase; a simple…

High Energy Physics - Lattice · Physics 2009-10-31 Simeon Warner , Simon Catterall , Ray Renken

Detailed mean field and Monte Carlo studies of the dynamic magnetization-reversal transition in the Ising model in its ordered phase under a competing external magnetic field of finite duration have been presented here. Approximate…

Statistical Mechanics · Physics 2009-10-31 Arkajyoti Misra , Bikas K Chakrabarti

We have found an exact phase diagram of the Potts model with next nearest neighbor interactions on the Bethe lattice of order two. The diagram consists of five phases: ferromagnetic, paramagnetic, modulated, antiphase and paramodulated, all…

Statistical Mechanics · Physics 2009-11-13 Nasir Ganikhodjaev , Farrukh Mukhamedov , Chin Hee Pah

We use improved Monte-Carlo algorithms to study the antiferromagnetic 2D-Ising model with competing interactions $J_1$ on nearest neighbour and $J_2$ on next-nearest neighbour bonds. The finite-temperature phase diagram is divided by a…

Statistical Mechanics · Physics 2009-02-17 A. Kalz , A. Honecker , S. Fuchs , T. Pruschke

We study non-equilibrium phases for interacting two-dimensional self-propelled particles with isotropic pair-wise interactions using a persistent kinetic Monte Carlo (MC) approach. We establish the quantitative phase diagram, including the…

Soft Condensed Matter · Physics 2019-04-17 Juliane U. Klamser , Sebastian C. Kapfer , Werner Krauth

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…

Statistical Mechanics · Physics 2007-05-23 Christophe Chatelain , Bertrand Berche , Wolfhard Janke , Pierre-Emmanuel Berche

Mean-field approximation is often used to explore the qualitative behaviour of phase transitions in classical spin models before employing computationally costly methods such as the Monte-Carlo techniques. We implement a 'lattice…

Mesoscale and Nanoscale Physics · Physics 2020-07-28 Ondrej Hovorka , Timothy J. Sluckin

We establish the equivalence between the continuum limit of the quantum spherical model with competing interactions, which is relevant to the investigation of Lifshitz points, and the O(N) nonlinear sigma model with the addition of higher…

High Energy Physics - Theory · Physics 2013-08-02 Pedro R. S. Gomes , P. F. Bienzobaz , M. Gomes

The dynamic phase transitions have been studied, within a mean-field approach, in the kinetic spin-1 Ising model Hamiltonian with arbitrary bilinear and biquadratic pair interactions in the presence of a time varying (sinusoidal) magnetic…

Statistical Mechanics · Physics 2009-11-11 Mustafa Keskin , Osman Canko , Ersin Kantar

The J$_1$-J$_2$ Ising model in the square lattice in the presence of an external field is studied by two approaches: the Cluster Variation Method (CVM) and Monte Carlo simulations. The use of the CVM in the square approximation leads to the…

Statistical Mechanics · Physics 2015-07-16 Alejandra I. Guerrero , Daniel A. Stariolo , Noé G. Almarza

We introduce a new coarse grain model capable of describing the phase behavior of two dimensional ferromagnetic systems with competing exchange and dipolar interactions, as well as an external magnetic field. An improved expression for the…

Statistical Mechanics · Physics 2016-10-20 Alejandro Mendoza-Coto , Orlando V. Billoni , Sergio A. Cannas , Daniel A. Stariolo

We study the phase diagram of the double exchange model, with antiferromagnetic interactions, in a cubic lattice both at zero and at finite temperature. There is a rich variety of magnetic phases, combined with regions where phase…

Strongly Correlated Electrons · Physics 2009-11-07 J. L. Alonso , J. A. Capitan , L. A. Fernandez , F. Guinea , V. Martin-Mayor

Magnetic polymers are examples of composite soft materials in which the competition between the large configurational entropy of the soft substrate (polymer) and the magnetic interaction may give rise to rich equilibrium phase diagrams as…

Soft Condensed Matter · Physics 2025-03-10 Alberto Raiola , Emanuele Locatelli , Davide Marenduzzo , and Enzo Orlandini

We have investigated by Monte-Carlo simulation the phase diagram of a three-dimensional Ising model with nearest-neighbor ferromagnetic interactions and small, but long-range (Coulombic) antiferromagnetic interactions. We have developed an…

Statistical Mechanics · Physics 2009-02-06 M. Grousson , G. Tarjus , P. Viot

Critical behavior of the two-dimensional generalized $XY$ model involving solely nematic-like terms of the second, third and fourth orders is studied by Monte Carlo method. We find that such a system can undergo three successive phase…

Statistical Mechanics · Physics 2018-12-24 Milan Žukovič

Quantum phase transitions with multicritical points are fascinating phenomena occurring in interacting quantum many-body systems. However, multicritical points predicted by theory have been rarely verified experimentally; finding…

Quantum Physics · Physics 2023-05-17 Yutao Hu , Yu Zhou , Wenchen Luo , Andrea Trombettoni , Guoxiang Huang