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In the present paper are analysed the conditions for the validity of the Tsallis Statistics. The same have been done following the analogy with the traditional case: starting from the microcanonical description of the systems and analysing…

Condensed Matter · Physics 2007-05-23 L. Velazquez , F. Guzman

We develop a novel approach to phase transitions in quantum spin models based on a relation to their classical counterparts. Explicitly, we show that whenever chessboard estimates can be used to prove a phase transition in the classical…

Mathematical Physics · Physics 2011-11-10 Marek Biskup , Lincoln Chayes , Shannon Starr

In the present paper the conditions for the validity of the Tsallis' Statistics are analyzed. The same has been done following the analogy with the traditional case: starting from the microcanonical description of the systems and taking…

Statistical Mechanics · Physics 2013-05-29 L. Velazquez , F. Guzman

We study the issue of temperature in a steady system around a black hole event horizon, contrasting it with the appearance of divergence in a thermal equilibrium system. We focus on a spherically symmetric system governed by general…

General Relativity and Quantum Cosmology · Physics 2024-01-04 Hyeong-Chan Kim

We study the quantum paraelectric-ferroelectric transition near a quantum critical point, emphasizing the role of temperature as a "finite size effect" in time. The influence of temperature near quantum criticality may thus be likened to a…

Strongly Correlated Electrons · Physics 2009-11-13 L. Palova , P. Chandra , P. Coleman

We study low--temperature non Gaussian thermal fluctuations of a system of classical particles around a (hypothetical) crystalline ground state. These thermal fluctuations are described by the behaviour of a system of long range interacting…

Condensed Matter · Physics 2007-05-23 Sergio Albeverio , Roman Gielerak , Helge Holden , Torbjørn Kolsrud , Mohammed Mebkhout

We extend the recently developed non-gaussian thermodynamic formalism \cite{tre98} of a (presumably strongly turbulent) non-Markovian medium to its most general form that allows for the formulation of a consistent thermodynamic theory. All…

Space Physics · Physics 2009-10-31 R. A. Treumann

We study the thermal equilibrium and stability of isobaric, spherical structures having a radiation source located at its center. The thermal conduction coefficient, external heating and cooling rates are represented as power laws of the…

Astrophysics · Physics 2009-06-23 Nestor Sanchez , Eugenio Lopez

We present a study of both the ``Iterative Procedure'' and the ``$\beta \to \beta'$ transformation'', proposed by Tsallis et al (Physica A261, 534) to find the probabilities $p_i$ of a system to be in a state with energy $\epsilon_i$,…

Statistical Mechanics · Physics 2009-10-31 A. R. Lima , T. J. P. Penna

Thermalization (generalized thermalization) in nonintegrable (integrable) quantum systems requires two ingredients: equilibration and agreement with the predictions of the Gibbs (generalized Gibbs) ensemble. We prove that observables that…

Statistical Mechanics · Physics 2023-08-10 Patrycja Łydżba , Marcin Mierzejewski , Marcos Rigol , Lev Vidmar

The existence of fluctuations of temperature has been a somewhat controversial topic in thermodynamics but nowadays it is recognized that they must be taken into account in small, finite systems. Although for nonequilibrium steady states…

Statistical Mechanics · Physics 2022-01-05 Sergio Davis

The energy distribution and the energy fluctuation in the Tsallis canonical ensemble are studied with the OLM formalism but following a new way. The resulting formula for the energy fluctuation is not the same as that in previous work [Liu…

Statistical Mechanics · Physics 2015-08-10 Ran Guo , Jiulin Du

We analyzed the transverse momentum {\ppt} spectra of different particle species containing strange quark {\ks}, {\lam (\alam)} and {\xim ({\axi})} in different centrality intervals at mid-rapidity ($y$) from {\auau} collisions at…

High Energy Physics - Phenomenology · Physics 2022-09-07 M. U. Ashraf , Junaid Tariq , Sumaira Ikram , A. M. Khan

Taking the formal analogies between black holes and classical thermodynamics seriously seems to first require that classical thermodynamics applies to relativistic regimes. Yet, by scrutinizing how classical temperature is extended into…

History and Philosophy of Physics · Physics 2023-03-28 Eugene Y. S. Chua

Temperature is usually defined for physical systems at thermal equilibrium. Nevertheless one may wonder if it would be possible to attribute a meaningful notion of temperature to an arbitrary quantum state, beyond simply the thermal (Gibbs)…

Quantum Physics · Physics 2023-02-01 Patryk Lipka-Bartosik , Martí Perarnau-Llobet , Nicolas Brunner

Exchange energy statistics between two bodies at different thermal equilibrium obey the Jarzynski-W\'ojcik fluctuation theorem. The corresponding energy scale factor is the difference of the inverse temperatures associated to the bodies at…

It is "conventional wisdom" that the uncertainty of local temperature measurements on equilibrium systems diverges exponentially fast as their temperature $T$ drops to zero. In contrast, some exactly solvable models showcase a more benign…

Quantum Physics · Physics 2018-07-04 Karen V. Hovhannisyan , Luis A. Correa

The conventional Tolman temperature based on the assumption of the traceless condition of energy-momentum tensor for matter fields is infinite at the horizon if Hawking radiation is involved. However, we note that the temperature associated…

General Relativity and Quantum Cosmology · Physics 2015-12-01 Yongwan Gim , Wontae Kim

We develop a method using a coarse graining of the energy fluctuations of an equilibrium quantum system which produces simple parameterizations for the behaviour of the system. As an application, we use these methods to gain more…

Statistical Mechanics · Physics 2007-05-23 Jani Lukkarinen

Universality of classical thermodynamics rests on the central limit theorem, due to which, measurements of thermal fluctuations are unable to reveal detailed information regarding the microscopic structure of a macroscopic body. When small…

Quantum Physics · Physics 2024-02-28 Lucas Chibebe Céleri , Łukasz Rudnicki
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