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An exact analytical derivation is presented, showing that the Ising model on the Cayley tree exhibits a line of third order phase transition points, between temperatures $T_2=2k_B^{-1}J\ln ({\sqrt 2}+1) $ and $T_{BP}=k_B^{-1}J\ln (3)$, and…

统计力学 · 物理学 2007-05-23 Borko D. Stosic , Tatijana Stosic , Ivon P. Fittipaldi

The site-decorated Ising model is introduced to advance the understanding and experimental realization of the recently discovered one-dimensional (1D) finite-temperature ultranarrow phase crossover in an external magnetic field, while…

统计力学 · 物理学 2026-03-12 Weiguo Yin

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.…

无序系统与神经网络 · 物理学 2009-11-13 Victor Dotsenko

In this paper we analytically study the recurrence equations of an Ising model with three competing interactions on a Cayley tree of order three. We exactly describe paramagnetic and ferromagnetic phases of the Ising model. We obtain some…

统计力学 · 物理学 2017-08-09 Hasan Akin

The high temperature phase of the three dimensional random field Ising model is studied using replica symmetry breaking framework. It is found that, above the ferromagnetic transition temperature T_f, there appears a glassy phase at…

凝聚态物理 · 物理学 2009-10-22 M. Mezard , R. Monasson

The density of the Fisher zeroes, or zeroes of the partition function in the complex temperature plane, is determined for the Ising model in zero field as well as in a pure imaginary field i Pi/2. Results are given for the simple-quartic,…

统计力学 · 物理学 2015-06-24 Wentao T. Lu , F. Y. Wu

Response of pure Ising systems to time-dependent external magnetic fields, like pulsed and oscillating fields, are discussed and compared here. Because of the two time scales involved, namely the thermodynamic relaxation time of the system…

统计力学 · 物理学 2009-11-07 Bikas K. Chakrabarti , Arkajyoti Misra

We study the dynamical percolation transition of the geometrical clusters in the two-dimensional Ising model when it is subjected to a pulsed field below the critical temperature. The critical exponents are independent of the temperature…

统计力学 · 物理学 2011-04-20 Soumyajyoti Biswas , Anasuya Kundu , Anjan Kumar Chandra

We discuss the occurrence of Bose-Einstein condensation in systems of noninteracting charged particles in three in one dimensions and in presence of an external magnetic field. In the one dimensional, as well as in the magnetic field cases,…

凝聚态物理 · 物理学 2007-05-23 H. Perez , L. Villegas

The mixed spin-1/2 and spin-5/2 Ising model is investigated on the Bethe lattice in the presence of a magnetic field $h$ via the recursion relations method. A ground-state phase diagram is constructed which may be needful to explore…

统计力学 · 物理学 2017-02-13 M. Karimou , R. A. Yessoufou , T. D. Oke , A. Kpadonou , F. Hontinfinde

We analyze the possible transition patterns exhibited by an effective non-relativistic field model describing interacting binary homogeneous dilute Bose gases whose overall potential is repulsive. We evaluate the temperature dependence of…

软凝聚态物质 · 物理学 2007-05-23 Marcus B. Pinto , Rudnei O. Ramos , Frederico F. de Souza Cruz

The ground state, zero-temperature magnetization process, critical behaviour and isothermal entropy change of the mixed-spin Ising model on a decorated triangular lattice in a magnetic field are exactly studied after performing the…

统计力学 · 物理学 2018-04-30 Lucia Galisova , Jozef Strecka

Using Monte Carlo techniques, the two-dimensional site-diluted Ising model is studied. In particular, properties of the specific heat, its critical behaviour and the emergence of a non-singular maximum above the transition temperature at…

凝聚态物理 · 物理学 2015-06-25 W. Selke , L. N. Shchur , O. A. Vasilyev

We show that the transverse field Ising model undergoes a zero temperature phase transition for a $G_\delta$ set of ergodic transverse fields. We apply our results to the special case of quasiperiodic transverse fields, in one dimension we…

数学物理 · 物理学 2018-05-22 Rajinder Mavi

In this article we study the phase transition phenomenon for the Ising model under the action of a non-uniform external magnetic field. We show that the Ising model on the hypercubic lattice with a summable magnetic field has a first-order…

数学物理 · 物理学 2017-08-01 Rodrigo Bissacot , Leandro Cioletti

The motivation for this paper is the analysis of the fixed-density Ising lattice gas in the presence of a gravitational field. This is a seen as a particular instance of an Ising model with a slowly varying magnetic field in the fixed…

概率论 · 数学 2024-10-15 Yacine Aoun , Sébastien Ott , Yvan Velenik

For temperatures below the critical temperature, the magnetic susceptibility for the two-dimensional isotropic Ising model can be expressed in terms of an infinite series of multiple integrals. With respect to a parameter related to…

数学物理 · 物理学 2014-08-07 Craig A. Tracy , Harold Widom

We study properties of magnetic field-induced Bose-Einstein condensate of triplons as a function of temperature and the field within the Hartree-Fock-Bogoliubov approach including the anomalous density. We show that the magnetization is…

量子气体 · 物理学 2013-05-29 Abdulla Rakhimov , E. Ya. Sherman , Chul Koo Kim

We study eigenstate thermalization and related signatures of quantum chaos in the one-dimensional ferromagnetic transverse-field Ising model with power-law interactions. The presence of long-range interactions allows for a…

统计力学 · 物理学 2017-06-13 Keith R. Fratus , Mark Srednicki

We study a spin-1/2 model with triangular XXZ-clusters on the orthogonal-dimer chain in the presence of an external magnetic field. First, we discuss the case where the triangular clusters are coupled via intermediate "classical" Ising…

强关联电子 · 物理学 2012-08-15 Vadim Ohanyan , Andreas Honecker