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The constant temperature derivation, which is a model-free derivation of the Boltzmann factor, is generalized in order to develop a new simple model-free derivation of a power-law Tsallis factor based on an environment with constant heat…

Statistical Mechanics · Physics 2015-06-24 T. Wada

The zero recoil limit of the B -> D l nu form factors is calculated on the lattice, which provides a model-independent determination of |Vcb|. Considering a ratio of form factors, in which the bulk of statistical and systematic errors…

High Energy Physics - Lattice · Physics 2009-10-31 S. Hashimoto , A. X. El-Khadra , A. S. Kronfeld , P. B. Mackenzie , S. M. Ryan , J. N. Simone

Based on the Tsallis entropy, the nonextensive thermodynamic properties are studied as a q-deformation of classical statistical results using only probabilistic methods and straightforward calculations. It is shown that the constant in the…

Statistical Mechanics · Physics 2007-05-23 Franck Jedrzejewski

Specific heat is calculated using Tsallis statistics. It is observed that it is possible to explain some low temperature specific heat properties of glasses using non-extensive approach. A similarity between temperature dependence of…

Statistical Mechanics · Physics 2009-11-11 Ashok Razdan

The Tsallis entropy, which possesses non-extensive property, is derived from the first principle employing the non-extensive Hamiltonian or the $q$-deformed Hamiltonian with the canonical ensemble assumption in statistical mechanics. Here,…

Statistical Mechanics · Physics 2025-03-11 Paradon Krisut , Sikarin Yoo-Kong

The nuclear modification factor is derived using Tsallis non-extensive statistics in relaxation time approximation. The variation of nuclear modification factor with transverse momentum for different values of non-extensive parameter, $q$,…

We perform a Taylor series expansion of Tsallis distribution by assuming the Tsallis parameter $q$ close to 1. The $q$ value shows the deviation of a system from a thermalised Boltzmann distribution. By taking up to first order in $(q-1)$,…

High Energy Physics - Phenomenology · Physics 2016-03-17 Trambak Bhattacharyya , Arvind Khuntia , Pragati Sahoo , Prakhar Garg , Pooja Pareek , Raghunath Sahoo , Jean Cleymans

A system presenting fractal structure in its thermodynamical functions is introduced, and it is shown that Tsallis statistics is the correct framework for describing the thermodynamical aspects of such fractal. Its Haussdorf dimension and…

High Energy Physics - Phenomenology · Physics 2016-03-09 Airton Deppman

In many situations, in all branches of physics, one encounters power-like behavior of some variables which are best described by a Tsallis distribution characterized by a nonextensivity parameter $q$ and scale parameter $T$. However, there…

Statistical Mechanics · Physics 2015-01-16 Grzegorz Wilk , Zbigniew Wlodarczyk

We applied the Tsallis statistics with the conventional expectation value to a system of free particles, adopting the equilibrium temperature which is often called the physical temperature. The entropic parameter $q$ in the Tsallis…

Statistical Mechanics · Physics 2026-05-14 Masamichi Ishihara

We derived the expression of the normalized $q$-expectation value based on the density operator to the order $1-q$ with the physical temperature in the Tsallis nonextensive statistics of entropic parameter $q$. With the derived expression…

Statistical Mechanics · Physics 2018-10-11 Masamichi Ishihara

We show by microscopic calculation that thermodynamics of the multicomponent Sutherland model is equivalent to that of a free particle system with fractional exclusion statistics at all temperatures. The parameters for exclusion statistics…

Condensed Matter · Physics 2009-10-28 Yusuke Kato , Yoshio Kuramoto

We show that the non-additivity relation of the Tsallis entropies in nonextensive statistical mechanics has a simple physical interpretation for systems with fluctuating temperature or fluctuating energy dissipation rate. We also show that…

Statistical Mechanics · Physics 2009-11-07 Christian Beck

The Maxwell distribution is derived from the $F$-distribution in the limit where one of the degrees of freedom of the $\chi^2$ variates tends to infinity. The estimator of the temperature is consistent, and, hence coincides with the…

Statistical Mechanics · Physics 2011-10-25 B. H. Lavenda

Small-angle scattering (SAS) data which show a succession of power-law decays with decreasing values of scattering exponents, can be described in terms of fractal structures with positive Lebesgue measure (fat fractals). In this work we…

Statistical Mechanics · Physics 2015-01-27 Eugen M. Anitas

The role played by non extensive thermodynamics in physical systems has been under intense debate for the last decades. With many applications in several areas, the Tsallis statistics has been discussed in details in many works and…

Statistical Mechanics · Physics 2018-10-17 Airton Deppman , Eugenio Megias , Debora P. Menezes , Tobias Frederico

We calculate the fluctuation of the energy of a system in Tsallis statistics following the finite heat bath canonical ensemble approach. We obtain this fluctuation as the second derivative of the logarithm of the partition function plus an…

Statistical Mechanics · Physics 2009-11-07 F. Q. Potiguar , U. M. S. Costa

The vibrational dynamics of protein folding is analyzed in the framework of Tsallis thermostatistics. The generalized partition functions, internal energies, free energies and temperature factor (or Debye-Waller factor) are calculated. It…

Statistical Mechanics · Physics 2009-11-13 E. Akturk , H. Arkin Olgar

We analytically investigate the thermodynamic variables of a hot and dense system, in the framework of the Tsallis non-extensive classical statistics. After a brief review, we start by recalling the corresponding massless limits for all the…

Statistical Mechanics · Physics 2016-11-30 Trambak Bhattacharyya , Jean Cleymans , Sylvain Mogliacci

We studied the effects of the Tsallis distribution on the transverse momentum fluctuation in high energy collisions. The parton-hadron duality and the Bose-Einstein type correlation between partons were assumed. The fluctuation was…

High Energy Physics - Phenomenology · Physics 2017-12-08 Masamichi Ishihara
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