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We study the random field $p$-spin model with Ising spins on a fully connected graph using the theory of large deviations in this paper. This is a good model to study the effect of quenched random field on systems which have a sharp first…

Statistical Mechanics · Physics 2015-10-28 Sumedha , Sushant K. Singh

In this paper we solve the Blume-Capel model on a complete graph in the presence of random crystal field with a distribution, $P(\Delta_i) =p\delta(\Delta_i-\Delta)+(1-p) \delta(\Delta_i+\Delta)$, using large deviation techniques. We find…

Statistical Mechanics · Physics 2020-07-21 Sumedha , Nabin K Jana

The spherical mean field approximation of a spin-1 model with p-body quenched disordered interaction is investigated. Depending on temperature and chemical potential the system is found in a paramagnetic or in a glassy phase and the…

Disordered Systems and Neural Networks · Physics 2012-03-06 Ulisse Ferrari , Luca Leuzzi

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

The effects of competing quadrupolar- and spin-glass orderings are investigated on a spin-1 Ising model with infinite-range random $p$-spin interactions. The model is studied through the replica approach and a phase diagram is obtained in…

Statistical Mechanics · Physics 2009-10-31 J. M. de Araujo , F. A. da Costa , F. D. Nobre

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a…

Statistical Mechanics · Physics 2015-02-03 Priscila V. dos Santos , Francisco A. da Costa , João M. de Araújo

We present a numerical study of the Blume-Capel model with quenched disorder in 3D. The phase diagram is characterized by spin-glass/paramagnet phase transitions of both first and second order in the thermodynamic sense. Numerical…

Disordered Systems and Neural Networks · Physics 2015-05-19 L. Leuzzi , M. Paoluzzi , A. Crisanti

We study the effect of different symmetric random field distributions: trimodal and Gaussian on the phase diagram of the infinite range Blume-Capel model. For the trimodal random field, the model has a very rich phase diagram. We find three…

Statistical Mechanics · Physics 2022-10-13 Soheli Mukherjee , Sumedha

In this work we investigate the Blume-Capel model with infinite-range ferromagnetic interactions and under the influence of a quenched disorder - a random crystal field. For a suitable choice of the random crystal field the model displays a…

Statistical Mechanics · Physics 2016-08-08 P. V. Santos , F. A. Costa , J. M. Araújo

We obtain the phase diagram for the Blume-Capel model with bimodal distribution for random crystal fields, in the space of three fields: temperature, crystal field and magnetic field. We find that three critical lines meet at a tricritical…

Statistical Mechanics · Physics 2020-05-06 Sumedha , Soheli Mukherjee

We introduce a spin-1 version of the random energy model with crystal field. Crystal field controls the density of 0 spins in the system. We solve the model in the micro-canonincal ensemble. The model has a spin-glass transition at a finite…

Disordered Systems and Neural Networks · Physics 2024-11-05 Sumedha , Matteo Marsili

The relaxation and complex magnetic susceptibility treatments of a spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice are investigated by a method combining the statistical equilibrium theory…

Statistical Mechanics · Physics 2015-06-11 Erol Vatansever , Hamza Polat

In this work, the relaxation process of the spin-3/2 Blume-Capel model with quenched random crystal field on a two dimensional square lattice has been investigated by a method which combines the statistical equilibrium theory and the…

Statistical Mechanics · Physics 2012-09-28 Erol Vatansever , Hamza Polat

We examine the phase diagram of the $p$-spin mean field glass model in the spin one case, that is when $S=0,+1,-1$. For large $p$ the model is solved exactly. The analysis reveals that the phase diagram is in some way similar to that of…

Disordered Systems and Neural Networks · Physics 2015-12-18 T. I. Schelkacheva , E. E. Tareyeva

In this work, we investigate the thermodynamic properties of the quantum Blume-Capel model with spin \( S = 5/2 \) in the presence of transverse and random crystalline fields. The system is described by a Hamiltonian that includes…

We study metastability and nucleation for the Blume-Capel model: a ferromagnetic nearest neighbour two-dimensional lattice system with spin variables taking values in -1,0,+1. We consider large but finite volume, small fixed magnetic field…

High Energy Physics - Theory · Physics 2009-10-28 Emilio N. M. Cirillo , Enzo Olivieri

A spin-1 Blume-Capel model with dilute and random crystal fields is examined for honeycomb and square lattices by introducing an effective-field approximation that takes into account the correlations between different spins that emerge when…

Statistical Mechanics · Physics 2016-08-14 Yusuf Yüksel , Ümit Akıncı , Hamza Polat

We investigate the thermodynamic phase transition taking place in the Blume-Capel model in presence of quenched disorder in three dimensions (3D). In particular, performing Exchange Montecarlo simulations, we study the behavior of the order…

Disordered Systems and Neural Networks · Physics 2015-05-19 Matteo Paoluzzi , Luca Leuzzi , Andrea Crisanti

We study the mean-field static solution of the Blume-Emery-Griffiths-Capel model with quenched disorder, an Ising-spin lattice gas with quenched random magnetic interaction. The thermodynamics is worked out in the Full Replica Symmetry…

Statistical Mechanics · Physics 2016-08-31 Andrea Crisanti , Luca Leuzzi

We report on reentrance in the random field Ising and Blume-Capel models, induced by an asymmetric bimodal random field distribution. The conventional continuous line of transitions between the paramagnetic and ferromagnetic phases, the…

Statistical Mechanics · Physics 2024-03-19 Santanu Das , Sumedha
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