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We investigate the multiplicity fluctuations observed in high-energy nuclear collisions attributing them to intrinsic fluctuations of temperature of the hadronizing system formed in such processes. To account for these fluctuations we…

High Energy Physics - Phenomenology · Physics 2009-05-07 Grzegorz Wilk , Zbigniew Wlodarczyk

In order to account for possible nonstatistical fluctuations in a hadronizing system (leading to the characteristic power-like behavior of the respective single particle spectra and to the broadening of the corresponding multiparticle…

High Energy Physics - Phenomenology · Physics 2012-02-21 Grzegorz Wilk , Zbigniew Wlodarczyk

We review the consequences of intrinsic, nonstatistical temperature fluctuations as seen in observables measured in high energy collisions. We do this from the point of view of nonextensive statistics and Tsallis distributions. Particular…

High Energy Physics - Phenomenology · Physics 2015-06-04 Grzegorz Wilk , Zbigniew Wlodarczyk

We provide an update of the overview of imprints of Tsallis nonextensive statistics seen in a multiparticle production processes. They reveal an ubiquitous presence of power law distributions of different variables characterized by the…

High Energy Physics - Phenomenology · Physics 2015-05-30 Grzegorz Wilk , Zbigniew Wlodarczyk

Relativistic particle production often requires the use of Tsallis statistics to account for the apparently power-like behavior of transverse momenta observed in the data even at a few GeV/c. In such an approach this behavior is attributed…

High Energy Physics - Phenomenology · Physics 2011-04-20 Grzegorz Wilk , Zbigniew Wlodarczyk

We demonstrate that description of fluctuations observed in multiparticle production processes using Tsallis statistics approach (in which fluctuations are described by the nonextensivity parameter q) leads to a specific sum rule for…

High Energy Physics - Phenomenology · Physics 2011-06-09 Grzegorz Wilk , Zbigniew Wlodarczyk , Wojciech Wolak

In this review paper, we discuss the statistical description in non-equilibrium regimes of energy fluctuations originated by the interaction between a quantum system and a measurement apparatus applying a sequence of repeated quantum…

The event-by-event p_T-fluctuations due to the temperature variation are considered. The so-called Phi-measure is computed and shown to be a linear function of the temperature variance. The fluctuations of temperature naturally explain the…

Nuclear Theory · Physics 2009-11-07 R. Korus , St. Mrowczynski , M. Rybczynski , Z. Wlodarczyk

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

Traditionally, it is understood that fluctuations in the equilibrium distribution are not evident in thermodynamic systems of large $N$ (the number of particles in the system) \cite{Huang1}. In this paper we examine the validity of this…

Mathematical Physics · Physics 2007-10-03 Kieran Kelly , Przemysław Repetowicz , Seosamh macRéamoinn

We propose to characterize heavy-ion collisions at ultra-relativistic energies by using fluctuations of energy density and temperature. Temperature fluctuations on an event-by-event basis have been studied both in terms of global…

Nuclear Experiment · Physics 2020-09-08 Sumit Basu , Rupa Chatterjee , Bastanta K. Nandi , Tapan K. Nayak

We consider the temperature fluctuations of a small object. Classical fluctuations of the temperature have been considered for a long time. Using the Nyquist approach, we show that the temperature of an object fluctuates when in a thermal…

Statistical Mechanics · Physics 2015-06-24 A. V. Balatsky , Jian-Xin Zhu

In this paper, we investigate the multiplicity fluctuations of charged particles observed in high-energy nuclear collisions and relate them to the size of hadronizing systems which happen during such processes. We use the average…

Nuclear Theory · Physics 2023-03-30 A. Bazgir , V. Z. Reyna Ortiz , M. Rybczynski , U. Shah , Z. Wlodarczyk

We consider a quantum system with $N$ degrees of freedom which is classically chaotic. When $N$ is large, and both $\hbar$ and the quantum energy uncertainty $\Delta E$ are small, quantum chaos theory can be used to demonstrate the…

chao-dyn · Physics 2009-10-28 Mark Srednicki

Quantum fluctuation expression of the baryon number for a subsystem consisting of hot relativistic spin-$\frac{1}{2}$ particles are derived. These fluctuations seems to diverge in the limit where system size goes to zero. For a broad range…

Nuclear Theory · Physics 2021-11-30 Rajeev Singh

We derive a formula that defines quantum fluctuations of energy in subsystems of a hot relativistic gas. For small subsystem sizes we find substantial increase of fluctuations compared to those known from standard thermodynamic…

High Energy Physics - Phenomenology · Physics 2021-12-15 Arpan Das , Wojciech Florkowski , Radoslaw Ryblewski , Rajeev Singh

Thermodynamic parameters such as temperature and pressure can be defined from the statistical behavior of a system. Therefore, thermal fluctuation is an inseparable characteristic of these parameters which eventually finds its way into…

Computational Physics · Physics 2017-02-28 Alek Bedroya , Mahmud Bahmanabadi

In high-energy collisions the number of the created particles is far less than the thermodynamic limit, especially in small colliding systems (e.g. proton-proton). Therefore final-state effects and fluctuations in the one-particle energy…

High Energy Physics - Phenomenology · Physics 2017-06-28 Gábor Bíró , Gergely Gábor Barnaföldi , Tamás Sándor Biró , Károly Ürmössy

We present two issues here: (i) that in situation when total energy is kept constant recently proposed fluctuations of volume ensemble is equivalent to the approach using Tsallis statistics with fluctuating temperature and (ii) that the…

High Energy Physics - Phenomenology · Physics 2010-11-29 Grzegorz Wilk , Zbigniew Wlodarczyk , Wojciech Wolak

The fluctuation-dissipation relation tells that dissipation always accompanies with thermal fluctuations. Relativistic fluctuating hydrodynamics is used to study the effects of the thermal fluctuations in the hydrodynamic expansion of the…

Nuclear Theory · Physics 2019-02-20 Tetsufumi Hirano , Ryuichi Kurita , Koichi Murase
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