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The thermodynamical property of a small cluster including $M$ Hubbard dimers, each of which is described by the two-site Hubbard model, has been discussed within the nonextensive statistics (NES). We have calculated the temperature…

Statistical Mechanics · Physics 2009-11-11 Hideo Hasegawa

Canonical ensembles consisting of $M$-unit $Hubbard$ $dimers$ have been studies within the nonextensive statistics (NES). The temperature dependences of the energy, entropy, specific heat and susceptibility have been calculated for the…

Statistical Mechanics · Physics 2010-03-19 Hideo Hasegawa

Thermodynamical properties of canonical and grand-canonical ensembles of the half-filled two-site Hubbard model have been discussed within the framework of the nonextensive statistics (NES). For relating the physical temperature $T$ to the…

Statistical Mechanics · Physics 2009-11-10 Hideo Hasegawa

We introduce an investigation about M dimers through half-filled two-site Hubbard model, that is, with two electrons. We utilize the third version of nonextensive statistical mechanics as tool for cal-culating thermodynamical and magnetic…

Statistical Mechanics · Physics 2010-02-16 F. A. R. Navarro , J. F. V. Flores

We propose a novel component to the understanding of the temperature structure of galaxy clusters which does not rely on any heating or cooling mechanism. The new ingredient is the use of non-extensive thermo-statistics which is based on…

Astrophysics · Physics 2007-05-23 Steen H. Hansen

Magnetic and thermodynamical properties of itinerant-electron (metallic) ferromagnets described by the Hubbard model have been discussed with the use of the generalized Fermi-Dirac (GFD) distribution for nonextensive quantum systems. We…

Statistical Mechanics · Physics 2015-05-13 Hideo Hasegawa

We examine the possibility of probing superconductivity effects in metal nanoclusters via diamond magnetometry. Metal nanoclusters have been proposed as constitutive elements of high T$_c$ superconducting nanostructured materials.…

Superconductivity · Physics 2011-03-01 Louis-S. Bouchard , Victor M. Acosta , Erik Bauch , Dmitry Budker

(1) The temperature dependence of the specific heat for a marginal Fermi liquid has been calculated. (2) We calculated the self-energy at T=0 for a two dimensional fermionic system with hyperbolic dispersion. The existence of the saddle…

Condensed Matter · Physics 2007-05-23 Catalin Pascu Moca

A computational approach to determine the equilibrium structures of nanoclusters in the whole temperature range from 0 K to melting is developed. Our approach relies on Parallel Tempering Molecular Dynamics (PTMD) simulations complemented…

Atomic and Molecular Clusters · Physics 2023-08-16 Manoj Settem , Riccardo Ferrando , Alberto Giacomello

The paper concerns the dependence of thermomechanical properties of three-dimensional solid nanoclusters on the cluster size as well as on its shape. Investigations are restricted to the class of so-called homogeneous thermodynamic…

Materials Science · Physics 2010-03-17 Andrzej Trzesowski

This work presents the mathematical modeling and numerical investigation of a thermo-controlled Micro-Electro-Mechanical System (MEMS) obtained by coupling an HP memristor with mechanical and electrical resonators. Using the linear drift HP…

Chaotic Dynamics · Physics 2026-05-29 N. G. Koudafokê , Thierry Njougouo , Hilda A. Cerdeira , C. H. Miwadinou

Nanothermodynamics is the thermodynamics of small systems, which are signifcantly affected by their surrounding environments. In nanothermodynamics, Hill introduced the concept of subdivision potential, which charaterizes the…

Statistical Mechanics · Physics 2021-12-03 Yu Su , Zi-Fan Zhu , Hong Gong , Yao Wang , Rui-Xue Xu , YiJing Yan

In contrast to the Hubbard model, the extended Hubbard model, which additionally accounts for non-local interactions, lacks systemic studies of thermodynamic properties especially across the metal-insulator transition. Using a variational…

Strongly Correlated Electrons · Physics 2019-06-19 M. Schüler , E. G. C. P. van Loon , M. I. Katsnelson , T. O. Wehling

In this paper a composed A+B magnetic system, with spins J_A=2 and J_B=3/2, is considered within the mean-field approximation, in the framework of Tsallis nonextensive statistics. Our motivation is twofold: (1) to approach the existing…

Statistical Mechanics · Physics 2009-09-24 F. A. R. Navarro , M. S. Reis , E. K Lenzi , I. S. Olivera

We study the thermodynamic properties of the 3D Hubbard model for temperatures down to the Neel temperature using cluster dynamical mean-field theory. In particular we calculate the energy, entropy, density, double occupancy and…

Quantum Gases · Physics 2011-03-14 S. Fuchs , E. Gull , L. Pollet , E. Burovski , E. Kozik , T. Pruschke , M. Troyer

The magnetic properties of the diluted magnetic semiconductors (DMS) (Ga, Mn)As and (Ga, Mn)N are investigated by means of an effective Heisenberg model, whose exchange parameters are obtained from first-principle calculations. The…

Materials Science · Physics 2007-05-23 S. Hilbert , W. Nolting

We investigate the nonequilibrium stationary state (NESS) of the two-dimensional Ising model under a stochastic dichotomous modulation of temperature, which alternates between $T_c \pm \delta$ around the critical temperature $T_c$ at a rate…

Statistical Mechanics · Physics 2026-03-18 Debraj Dutta , Ritwick Sarkar , Urna Basu

A new approach to non-extensive thermodynamical systems with non-additive energy and entropy is proposed. The main idea of the paper is based on the statistical matching of the thermodynamical systems with the additive multi-step Markov…

Data Analysis, Statistics and Probability · Physics 2007-05-23 S. S. Apostolov , Z. A. Mayzelis , O. V. Usatenko , V. A. Yampol'skii

We have determined the entropy, the total energy, and the specific heat of the systems consisting of $M\geq 3$ hydrogen molecules. The calculations were conducted in the framework of the nonextensive Tsallis statistics. The relation between…

Mesoscale and Nanoscale Physics · Physics 2018-01-10 R. Szczęśniak , E. A. Drzazga , I. A. Domagalska , A. P. Durajski , M. Kostrzewa

We analyze the Thermodynamic Bethe Ansatz equations of the one-dimensional half-filled Hubbard model in the "spin-disordered regime", which is characterized by the temperature being much larger than the magnetic energy scale but small…

Strongly Correlated Electrons · Physics 2009-11-11 S. Ejima , F. H. L. Essler , F. Gebhard
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