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We present experimental evidence that the motion of point defects in thermal convection patterns in an inclined fluid layer is well-described by Tsallis statistics with an entropic index $q \approx 1.5$. The dynamical properties of the…

Statistical Mechanics · Physics 2007-05-23 Karen E. Daniels , Christian Beck , Eberhard Bodenschatz

Collisional thermalization of a particle ensemble under the energy dissipation can be seen in variety of systems, such as heated granular gasses and particles in plasmas. Despite its universal existence, analytical descriptions of the…

Plasma Physics · Physics 2021-11-08 Keisuke Fujii , Jun Imano , Arseniy Kuzmin , Taiichi Shikama , Masahiro Hasuo

We derive the analytical expressions for the first and second order terms in the hadronic transverse momentum spectra obtained from the Tsallis normalized (Tsallis-1) statistics. We revisit the zeroth order quantum Tsallis distributions and…

Nuclear Theory · Physics 2021-06-30 Trambak Bhattacharyya , Alexandru S. Parvan

The transverse momentum ($p_T$) spectra from heavy-ion collisions at intermediate momenta are described by non-extensive statistical models. Assuming a fixed relative variance of the temperature fluctuating event by event or alternatively a…

High Energy Physics - Phenomenology · Physics 2018-01-17 Keming Shen , Tamas S. Biro , Enke Wang

We consider the Tsallis distribution as the source of the apparent slope of one-particle spectra in heavy-ion collisions and investigate the equation of state of this special quark matter in the framework of non-extensive thermodynamics.

High Energy Physics - Phenomenology · Physics 2009-11-10 T. S. Biro , G. Purcsel , B. Muller

This article focuses on the study of strange hadrons at 0.2 TeV centre of mass energy, recorded by STAR at RHIC, and at 0.9 TeV, 5.02 TeV and 7 TeV, recorded by CMS at LHC, in pp collision in the rapidity range from 0 to 2. The transverse…

High Energy Physics - Phenomenology · Physics 2024-11-14 Murad Badshah , Muhammad Ajaz , Muhammad Waqas , Hannan Younis

It is shown that the ratio of transverse momentum (p_T) distribution of thermal photons to dileptons produced in heavy ion collisions reaches a plateau above p_T=1 GeV. We argue that the value of the ratio in the plateau region can be used…

Nuclear Theory · Physics 2007-05-25 Jajati K. Nayak , Jan-e Alam , Sourav Sarkar , Bikash Sinha

In this article, we will present a systematic analysis of transverse momentum spectra of the strange hadron in different multiplicity events produced in pp collision at $\sqrt{s}$ = 7 TeV, pPb collision at $\sqrt{s_{NN}}$ = 5.02 TeV and…

High Energy Physics - Phenomenology · Physics 2018-05-31 Kapil Saraswat , Prashant Shukla , Vineet Kumar , Venktesh Singh

Within the Tsallis thermodynamics' framework, and using scaling properties of the entropy, we derive a generalization of the Gibbs-Duhem equation. The analysis suggests a transformation of variables that allows standard thermodynamics to be…

Statistical Mechanics · Physics 2009-11-07 Eduard Vives , Antoni Planes

In the framework of a multi-source thermal model at the partonic-level, we have analyzed transverse momentum spectra of hadrons measured by the ALICE Collaboration in proton-proton ($pp$ or $p$-$p$) collisions at the center-of-mass energy…

High Energy Physics - Phenomenology · Physics 2022-07-28 Pei-Pin Yang , Mai-Ying Duan , Fu-Hu Liu , Raghunath Sahoo

A statistical description of heavy particles suspended in incompressible rough self-similar flows is developed. It is shown that, differently from smooth flows, particles do not form fractal clusters. They rather distribute inhomogeneously…

Chaotic Dynamics · Physics 2007-05-23 J. Bec , M. Cencini , R. Hillerbrand

We propose that transverse momentum spectra with power-law tails observed in ultrarelativistic heavy ion collisions can be interpreted as originating in a medium in thermal equilibrium. General conditions on the dynamical equations are…

High Energy Physics - Phenomenology · Physics 2007-05-23 T. S. Biro , G. Gyorgyi , A. Jakovac , G. Purcsel

We analyse the transverse momentum ($p_{\rm T}$)-spectra as a function of charged-particle multiplicity at midrapidity ($|y| < 0.5$) for various identified particles such as $\pi^{\pm}$, $K^{\pm}$, $K_S^0$, $p+\overline{p}$, $\phi$, $K^{*0}…

High Energy Physics - Phenomenology · Physics 2019-01-17 Arvind Khuntia , Himanshu Sharma , Swatantra Kumar Tiwari , Raghunath Sahoo , Jean Cleymans

In 1988, Constantino Tsallis proposed an extension of the Boltzmann statistical mechanics by postulating a new entropy formula, $S_q = k_B\ln_q W$, where $W$ is the number of microstates accessible to the system, and $\ln_q$ defines a…

Statistical Mechanics · Physics 2025-03-03 J. A. S. Lima , M. H. Benetti

The transverse momentum distribution of identified hadrons from recent years are analyzed within the thermodynamically consistent formulation of non-extensive statistics. A wide range of center-of-mass energies and average event…

High Energy Physics - Phenomenology · Physics 2020-03-09 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró

Distribution functions of relative velocities among particles in a vibrated bed of powder are studied both numerically and theoretically. In the solid phase where granular particles remain near their local stable states, the probability…

chao-dyn · Physics 2009-10-22 Y-h. Taguchi , Hideki Takayasu

It has been suggested recently that `$q$-exponential' distributions which form the basis of Tsallis' non-extensive thermostatistical formalism may be viewed as mixtures of exponential (Gibbs) distributions characterized by a fluctuating…

Statistical Mechanics · Physics 2007-05-23 Hugo Touchette

A large number (~10,000) of uniform stainless steel balls comprising less than one layer coverage on a vertically shaken plate provides a rich system for the study of excited granular media. Viewed from above, the horizontal motion in the…

Soft Condensed Matter · Physics 2007-05-23 J. S. Urbach , J. S. Olafsen

The properties of the nonextensive parameter q and the Tsallis distribution for self-gravitating systems are studied. A mathematical expression of q is deduced based on the generalized Boltzmann equation, the q-H theorem and the generalized…

Statistical Mechanics · Physics 2015-08-10 Jiulin Du

The macroscopic study of hydrodynamic turbulence is equivalent, at an abstract level, to the microscopic study of a heat flow for a suitable mechanical system. Turbulent fluctuations (intermittency) then correspond to thermal fluctuations,…

Fluid Dynamics · Physics 2015-06-19 David Ruelle