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We perform a statistical and geometrothermodynamic analysis of three different models of magnetic materials, namely, the translational free model, the spin model, and the mean-field model. First, we derive the fundamental equation for each…

Statistical Mechanics · Physics 2025-01-22 Hernando Quevedo , Maria N. Quevedo , Alberto Sanchez

A relativistic mean-field model of nuclear matter with arbitrary proton fraction is studied at finite temperature. An analysis is performed of the liquid-gas phase transition in a system with two conserved charges (baryon number and…

Nuclear Theory · Physics 2008-11-26 Horst Mueller , Brian D. Serot

This paper presents a dual gravity model for a (2+1)-dimensional system with a limit on finite charge density and temperature, which will be used to study the properties of the holographic phase transition to paramagnetism-ferromagnetism in…

High Energy Physics - Theory · Physics 2023-10-17 Fabiano F. Santos , Moisés Bravo-Gaete , Oleksii Sokoliuk , Alexander Baransky

Peridynamics provides a versatile tool for fracture modelling in materials where fracture pathways cannot be predicted beforehand, but must be envisaged as an emergent features of the deformation process. One class of materials where this…

Materials Science · Physics 2025-12-18 Shucheta Shegufta , Michael Zaiser

The Landau theory of phase transitions has been re-examined under the framework of a modified mean field theory in ferroelectrics. By doing so, one can see that there are two atomic movements involved in the ferroelectric phase transition;…

Statistical Mechanics · Physics 2017-03-29 John Y. Fu

We have investigated the critical phenomenon associated with the magnetic phase transition in the half-metallic full-Heusler Co$_2$TiGe. The compound undergoes a continuous ferromagnetic to paramagnetic phase transition at the Curie…

Materials Science · Physics 2019-06-11 Shubhankar Roy , Nazir Khan , Ratnadwip Singha , Arnab Pariari , Prabhat Mandal

A linear system of differential equations describing a joint motion of thermoelastic porous body and thermofluid occupying porous space is considered. Although the problem is linear, it is very hard to tackle due to the fact that its main…

Analysis of PDEs · Mathematics 2007-05-23 Anvarbek M. Meirmanov

The Pair Approximation method is applied to studies of the bilayer and multilayer magnetic systems with simple cubic structure. The method allows to take into account quantum effects related with non-Ising couplings. The paper adopts the…

Statistical Mechanics · Physics 2013-04-09 Karol Szałowski , Tadeusz Balcerzak

We propose a new formulation of the statistical multifragmentation model based on the analysis of the virial expansion for a system of the nuclear fragments of all sizes. The developed model not only enables us to account for short-range…

Nuclear Theory · Physics 2014-03-05 V. V. Sagun , A. I. Ivanytskyi , K. A. Bugaev , I. N. Mishustin

The full Landau-Lifshitz-Gilbert equation with periodic material coefficients and natural boundary condition is employed to model the magnetization dynamics in composite ferromagnets. In this work, we establish the convergence between the…

Analysis of PDEs · Mathematics 2022-06-23 Jingrun Chen , Jian-Guo Liu , Zhiwei Sun

Materials which can undergo extremely fast displacive transformations as well as very slow diffusive transformations are studied using a Ginzburg-Landau framework to understand the physics behind microstructure formation and…

Materials Science · Physics 2007-05-23 Mathieu Bouville , Rajeev Ahluwalia

We are investigating the effective heat transfer in complex systems involving porous media and surrounding fluid layers in the context of mathematical homogenization. We differentiate between two fundamentally different cases: Case (a),…

Analysis of PDEs · Mathematics 2024-05-01 Michael Eden , Tom Freudenberg

The microscopic origin of metamagnetism and metamagnetic transitions in strongly anisotropic antiferromagnets is investigated within a quantum mechanical theory of correlated electrons. To this end the Hubbard model with staggered…

Strongly Correlated Electrons · Physics 2009-10-30 K. Held , M. Ulmke , N. Bl"umer , D. Vollhardt

The interplay between quantum and thermal fluctuations can induce rich phenomena at finite temperatures in strongly correlated fermion systems. Here we report a {\it numerically exact} auxiliary-field quantum Monte Carlo (AFQMC) study for…

Strongly Correlated Electrons · Physics 2025-01-23 Yu-Feng Song , Youjin Deng , Yuan-Yao He

A thermodynamically consistent framework able to model either diffusive and displacive phase transitions is proposed. The first law of thermodynamics, the balance of linear momentum equation and the Cahn-Hilliard equation for solute mass…

Materials Science · Physics 2015-03-17 Mirko Maraldi , Luisa Molari , Diego Grandi

We introduce a finite-connectivity ferromagnetic model with a three-spin interaction which has a crystalline (ferromagnetic) phase as well as a glass phase. The model is not frustrated, it has a ferromagnetic equilibrium phase at low…

Disordered Systems and Neural Networks · Physics 2009-11-07 S. Franz , M. Mezard , F. Ricci-Tersenghi , M. Weigt , R. Zecchina

The paper presents a new type of weakly nonlinear two-scale model of controllable periodic porous piezoelectric structures saturated by Newtonian fluids. The flow is propelled by peristaltic deformation of microchannels which is induced due…

Analysis of PDEs · Mathematics 2024-07-18 Eduard Rohan , Vladimír Lukeš

The interplay of magnetic and superconducting fluctuations in two dimensional systems with van Hove singularities in the electronic spectrum is considered within the functional renormalization group (fRG) approach. While the fRG flow has to…

Strongly Correlated Electrons · Physics 2010-05-03 A. Katanin

Over the last few decades, phase-field equations have found increasing applicability in a wide range of mathematical-scientific fields (e.g. geometric PDEs and mean curvature flow, materials science for the study of phase transitions) but…

Pattern Formation and Solitons · Physics 2017-02-28 M. Schmuck , S. Kalliadasis

Histogram Monte-Carlo simulation results are presented for the magnetic-field -- temperature phase diagram of the XY model on a stacked triangular lattice with antiferromagnetic intraplane and ferromagnetic interplane interactions.…

Condensed Matter · Physics 2009-10-22 M. L. Plumer , A. Mailhot , A. Caillé