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The classical Landau--Lifshitz equation -- the simplest model of a ferromagnet -- provides an archetypal example for studying transport phenomena. In one-spatial dimension, integrability enables the classification of the spectrum of linear…

Statistical Mechanics · Physics 2024-09-06 Alvise Bastianello , Žiga Krajnik , Enej Ilievski

The deterministic Landau-Lifshitz-Gilbert equation has been used to investigate the nonlinear dynamics of magnetization and the specific loss power in magnetic nanoparticles with uniaxial anisotropy driven by a rotating magnetic field,…

Mesoscale and Nanoscale Physics · Physics 2012-12-13 I. Nandori , J. Racz

We describe some recent applications of Tsallis statistics in fully developed hydrodynamic turbulence and high energy physics. For many of these applications nonextensive properties arise from spatial fluctuations of the temperature or the…

Statistical Mechanics · Physics 2015-06-24 Christian Beck

Thermal fluctuations of nanomagnets driven by spin-polarized currents are treated via the Landau-Lifshitz-Gilbert equation generalized to include both the random thermal noise field and the Slonczewski spin-transfer torque term. By…

Statistical Mechanics · Physics 2013-10-09 Y. P. Kalmykov , W. T. Coffey , S. V. Titov , J. E. Wegrowe , D. Byrne

We analytically study isothermal spheres in the light of nonextensive statistical mechanics. The equations for the isothermal spheres are derived from the grand partition function of the gravitating particle system in the Tsallis…

General Relativity and Quantum Cosmology · Physics 2025-09-24 Nahomi Kan , Takuya Maki , Kiyoshi Shiraishi

The standard formulation of thermostatistics, being based on the Boltzmann-Gibbs distribution and logarithmic Shannon entropy, describes idealized uncorrelated systems with extensive energies and short-range interactions. In this letter, we…

Statistical Mechanics · Physics 2020-07-01 S. N. Saadatmand , Tim Gould , E. G. Cavalcanti , J. A. Vaccaro

The statistical mechanics of a cloud of particles interacting via their gravitational potentials is an old problem which encounters some issues when the traditional Boltzmann-Gibbs statistics is applied. In this article, we consider the…

Statistical Mechanics · Physics 2018-04-10 Lenin Escamilla-Herrera , Christine Gruber , Viridiana Pineda , Hernando Quevedo

A time-dependent statistical description of multiple particle breakage is presented. The approach combines the Tsallis non-extensive entropy with a fractal kinetic equation for the time variation of the number of fragments. The obtained…

Statistical Mechanics · Physics 2014-12-04 Oscar Sotolongo-Costa , Luis Manuel Gaggero-Sager , Miguel Eduardo Mora-Ramos

An unified thermodynamical framework based in the use of a generalized Massieu-Planck thermodynamic potential is proposed and a new formulation of Boltzmann-Gibbs Statistical Mechanics is established. Under this philosophy a generalization…

Mathematical Physics · Physics 2007-05-23 V. Garcia-Morales , J. Pellicer

We show how the orbital magnetization of an interacting disordered diffusive electron gas can be simply related to the magnetization of the non-interacting system having the same geometry. This result is applied to the persistent current of…

Mesoscale and Nanoscale Physics · Physics 2016-08-31 Gilles Montambaux

We present a general semiclassical theory of the orbital magnetic response of noninteracting electrons confined in two-dimensional potentials. We calculate the magnetic susceptibility of singly-connected and the persistent currents of…

Condensed Matter · Physics 2016-08-31 K. Richter , D. Ullmo , R. A. Jalabert

In this study, thermoluminescence decay is investigated within Tsallis thermostatistics (TT). We belive that this is the first attempt to handle themoluminescence decay process within TT.

Statistical Mechanics · Physics 2015-06-24 O. Kayacan , N. Can

We show that Tsallis ensemble of power-law distributions provides a mechanical model of nonextensive equilibrium thermodynamics for small interacting Hamiltonian systems, i.e., using Boltzmann's original nomenclature, we prove that it is an…

Statistical Mechanics · Physics 2007-05-23 M. Campisi , G. B. Bagci

The general formalism for the nonextensive statistics based on the Landsberg-Vedral entropy was derived. The formula for the first law of thermodynamics and the exact relations of the thermodynamic quantities to their ensemble averages were…

Statistical Mechanics · Physics 2019-04-08 A. S. Parvan

The non-extensive statistical mechanics has been applied to describe a variety of complex systems with inherent correlations and feedback loops. Here we present a dynamical model based on previously proposed static model exhibiting in the…

Statistical Mechanics · Physics 2016-04-20 A. Kononovicius , J. Ruseckas

We study the thermodynamics of short-range interacting, two-dimensional bosons constrained to the lowest Landau level. When the temperature is higher than other energy scales of the problem, the partition function reduces to a…

Quantum Gases · Physics 2020-09-02 Bhilahari Jeevanesan , Sergej Moroz

We show that if we require positive definite probabilities, then frequently cited results of Prato, of Lenzi and Hilhorst on the nonextensive equilibrium statistical mechanics of gases are valid only for a limited range of the Tsallis…

Statistical Mechanics · Physics 2007-05-23 M. R. C. Solis , J. P. H. Esguerra

In this work we have analyzed the magnetocaloric effect (MCE) from the Tsallis thermostatistics formalism (TTF) point of view. The problem discussed here is a two level system MCE. We have calculated, both analytically and numerically, the…

In this paper we point out that the generalized statistics of Tsallis-Havrda-Charv\'at can be conveniently used as a conceptual framework for statistical treatment of random chains. In particular, we use the path-integral approach to show…

Statistical Mechanics · Physics 2017-02-06 Petr Jizba , Jan Korbel , Václav Zatloukal

The Landau-Lifshitz-Gilbert damping coefficient employed in the analysis of spin wave ferromagnetic resonance is related to the electrical conductivity of the sample. The changing magnetization (with time) radiates electromagnetic fields.…

Statistical Mechanics · Physics 2007-05-23 S. Sivasubramanian , A. Widom , Y. N. Srivastava