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A study of the d-dimensional classical Heisenberg ferromagnetic model in the presence of a magnetic field is performed within the two-time Green function's framework in classical statistical physics. We extend the well known quantum Callen…

Statistical Mechanics · Physics 2015-06-03 L. S. Campana , A. Cavallo , L. De Cesare , U. Esposito , A. Naddeo

The emergence of collective oscillations and synchronization is a widespread phenomenon in complex systems. While widely studied in dynamical systems theory, this phenomenon is not well understood in the context of out-of-equilibrium phase…

Statistical Mechanics · Physics 2023-06-06 Dmitry Sinelschikov , Anna Poggialini , Maria Francesca Abbate , Daniele De Martino

We study the transient behavior of damage propagation in the two-dimensional spin-$1$ Blume-Capel model using Monte Carlo simulations with Metropolis dynamics. We find that, for a particular region in the second-order transition regime of…

Statistical Mechanics · Physics 2022-10-20 Ajanta Bhowal Acharyya , Muktish Acharyya , Erol Vatansever , Nikolaos G. Fytas

We show that the exactly solved low-temperature branch of the two-dimensional O($n$) model is equivalent with an O($n$) model with vacancies and a different value of $n$. We present analytic results for several universal parameters of the…

Statistical Mechanics · Physics 2010-03-19 Bernard Nienhuis , Wenan Guo , Henk W. J. Blöte

On the basis of a microscopic model of self-consistent field, the thermodynamics of the many-particle Fermi system at finite temperatures with account of three-body interactions is built and the quasiparticle equations of motion are…

Statistical Mechanics · Physics 2015-12-29 Yu. M. Poluektov , A. A. Soroka , S. N. Shulga

We investigate the low temperature thermodynamics and correlation functions of one-dimensional spin-1/2 fermions with strong repulsion in an external magnetic field via the thermodynamic Bethe ansatz method. The exact thermodynamics of the…

Quantum Gases · Physics 2013-05-16 J. Y. Lee , X. W. Guan , K. Sakai , M. T. Batchelor

We study the magnetic and thermodynamic properties of a spin-$1/2$ Ising system containing three layers, each of which is composed exclusively of one out of two possible types of atoms, \textbf{A} or \textbf{B}. The \textbf{A-A} and…

Statistical Mechanics · Physics 2019-10-04 Ian Jordy Lopez Diaz , Nilton Silva Branco

We construct periodic approximations to the free energies of Ising models on fractal lattices of dimension smaller than two, in the case of zero external magnetic field, using a generalization of the combinatorial method of Feynman and…

Statistical Mechanics · Physics 2015-11-16 Alessandro Codello , Vincent Drach , Ari Hietanen

In this paper, using Monte Carlo simulations we show that the Blume-Capel model gives rise to the social depolarization. This model borrowed from statistical physics uses the continuous Ising spin varying from -1 to 1 passing by zero to…

Physics and Society · Physics 2023-12-27 Hung T. Diep , Miron Kaufman , Sanda Kaufman

Mesoscopic theory for self-assembling systems near a planar confining surface is developed. Euler- Lagrange (EL) equations and the boundary conditions (BC) for the local volume fraction and the correlation function are derived from the DFT…

Statistical Mechanics · Physics 2020-01-03 A. Ciach

We perform a Monte Carlo Renormalization Group analysis of the critical behavior of the ferromagnetic Ising model on a Sierpi\'nski fractal with Hausdorff dimension $d_f\simeq 1.8928$. This method is shown to be relevant to the calculation…

Statistical Mechanics · Physics 2009-11-10 Pai-Yi Hsiao , Pascal Monceau

We present an extensive numerical study of the critical behavior of dimer models in three dimensions, focusing on the phase transition between Coulomb and crystalline columnar phases. The case of attractive interactions between parallel…

Strongly Correlated Electrons · Physics 2015-03-17 D. Charrier , F. Alet

We determined on the temperature-pressure-magnetic field ($T$-$p$-$H$) phase diagram of the ferromagnet LaCrGe$_3$ from electrical resistivity measurements on single crystals. In ferromagnetic systems, quantum criticality is avoided either…

Strongly Correlated Electrons · Physics 2017-11-08 Udhara S. Kaluarachchi , Sergey L. Bud'ko , Paul C. Canfield , Valentin Taufour

Using the technique of mean field theory applied to the lattice boundary Ising and tricritical Ising models we provide a qualitative description of their boundary phase diagrams. We will show this is in agreement with the known picture from…

Statistical Mechanics · Physics 2011-06-10 Philip Giokas

The Blume-Emery-Griffiths spin glass is studied by renormalization-group theory in d=3. The boundary between the ferromagnetic and paramagnetic phases has first-order and two types of second-order segments. This topology includes an…

Disordered Systems and Neural Networks · Physics 2009-03-07 V. Ongun Özçelik , A. Nihat Berker

We introduce a new ferromagnetic model capable of reproducing one of the most intriguing properties of collective behaviour in starling flocks, namely the fact that strong collective order of the system coexists with scale-free correlations…

Statistical Mechanics · Physics 2019-09-18 Andrea Cavagna , Antonio Culla , Luca Di Carlo , Irene Giardina , Tomas S. Grigera

Near a two-dimensional Ising-type nematic quantum critical point, the quantum fluctuations of the nematic order parameter are coupled to the electrons, leading to non-Fermi liquid behavior and unconventional superconductivity. The interplay…

Superconductivity · Physics 2025-12-24 Jie Huang , Zhao-Kun Yang , Jing-Rong Wang , Guo-Zhu Liu

Thermodynamic properties of a tetrameric bond-alternating Heisenberg spin chain with ferromagnetic-ferromagnetic-antiferromagnetic-antiferromagnetic exchange interactions are studied using the transfer-matrix renormalization group and…

Strongly Correlated Electrons · Physics 2009-11-10 H. T. Lu , Y. H. Su , L. Q. Sun , J. Chang , C. S. Liu , H. G. Luo , T. Xiang

We present a mean-field study of caloric effects driven by primary and secondary fields near tricritical points, which are fields thermodynamically conjugated to the main and secondary order parameters, respectively. General features, such…

Materials Science · Physics 2024-06-10 Eduardo Mendive-Tapia , Antoni Planes

In the present work we analyze the second order transition line that connect the tricritical point and the quantum critical ending point on the temperature--magnetic-field plane in UGe$_2$. For the microscopic modeling we employ the…

Strongly Correlated Electrons · Physics 2015-09-23 Marcin Abram , Marcin M. Wysokiński , Józef Spałek