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The strongly intensive measures $\Delta[P_T,N]$ and $\Sigma[P_T,N]$ are used to study the event-by-event fluctuations of the transverse momentum $P_T$ and particle multiplicity $N$ in nucleus-nucleus collisions. A special normalization for…

Nuclear Theory · Physics 2014-03-12 Mark I. Gorenstein , Katarzyna Grebieszkow

The so-called $\Phi$ parameter, which measures the transverse momentum or energy correlations (fluctuations) in high-energy collisions independently of the particle multiplicity, is computed for the equilibrium ideal gas. As expected $\Phi$…

Nuclear Theory · Physics 2009-10-31 Stanislaw Mrowczynski

Event-by-event fluctuations of multiplicity and transverse momentum of charged hadrons produced in heavy-ion collisions at FAIR energies, 10A, 20A, 30A and 40A GeV are studied in the framework of relativistic transport model, URQMD.…

High Energy Physics - Phenomenology · Physics 2023-12-12 Bushra Ali , Shakeel Ahmad , A. Ahmad

Recently, the new strongly intensive measures of fluctuations $\Delta$ and $\Sigma$ have been proposed. In this publication their properties are tested using an example of event-by-event transverse momentum fluctuations. The obtained values…

Nuclear Theory · Physics 2012-07-05 Katarzyna Grebieszkow

Directly accessing energy fluctuations in interacting quantum many-body systems remains a long-standing challenge, especially far from equilibrium. Here we show that in scale-invariant quantum gases with SO$(2,1)$ dynamical symmetry, the…

Quantum Gases · Physics 2026-04-09 Shi-Guo Peng , Jing Min , Kaijun Jiang

We discuss the quantum statistical fluctuations of energy in subsystems of hot relativistic gas for both spin-zero and spin half particles. We explicitly show the system size dependence of the quantum statistical fluctuation of energy. Our…

Nuclear Theory · Physics 2022-06-15 Arpan Das

This thesis is dedictaed to the study of fluctuation and correlation observables of hadronic equilibrium systems. The statistical hadronization model of high energy physics, in its ideal, i.e. non-interacting, gas approximation will be…

Nuclear Theory · Physics 2010-08-13 Michael Hauer

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…

We investigate the thermodynamics of a Fermi gas whose single-particle energy levels are given by the complex zeros of the Riemann zeta function. This is a model for a gas, and in particular for an atomic nucleus, with an underlying fully…

Nuclear Theory · Physics 2009-11-10 P. Leboeuf , A. G. Monastra

Specific heat per particle ($c_v$) of an ideal gas, in many occasions, is interpreted as energy fluctuation per particle ($\triangle\epsilon^2$) of the ideal gas through the relation: $\triangle\epsilon^2=kT^2c_v$, where $k$ is the…

Statistical Mechanics · Physics 2015-03-17 Shyamal Biswas , Joydip Mitra , Saugata Bhattacharyya

Strongly intensive measures $\Delta$ and $\Sigma$ are used to study event-by-event fluctuations of hadron multiplicities in nucleus-nucleus collisions. The effects of resonance decays are investigated within statistical model and…

Nuclear Theory · Physics 2015-05-19 Viktor V. Begun , Mark I. Gorenstein , Katarzyna Grebieszkow

We study fluctuations and correlations of the average transverse momentum of particles emitted in heavy-ion collisions. Fluctuations of the average transverse momentum are related to event-by-event fluctuations of the size and entropy of…

Nuclear Theory · Physics 2017-07-17 Piotr Bozek , Wojciech Broniowski , Sandeep Chatterjee

The quantum statistical mechanics of an ideal gas with a general free-particle energy obeying fractional exclusion statistics are systematically investigated in arbitrary dimensions. The pressure relations, the relation between pressure and…

Statistical Mechanics · Physics 2009-10-31 Gang Su , Masuo Suzuki

Results are presented on event-by-event fluctuations in transverse momentum of charged particles, produced at forward rapidities in p+p, C+C, Si+Si and Pb+Pb collisions at 158 AGeV. Three different characteristics are discussed: the average…

High Energy Physics - Experiment · Physics 2013-05-29 The NA49 Collaboration

Expressions for the quantum fluctuations of energy density have been derived for the subsystems consisting of hot relativistic gas of particles with spin-$\frac{1}{2}$ and mass $m$. Our expressions for the fluctuation depend on the form of…

Quantum Physics · Physics 2021-11-10 Rajeev Singh

Results are presented on event-by-event fluctuations of transverse momenta $p_T$ in central Pb+Pb interactions at 20$A$, 30$A$, 40$A$, 80$A$, and 158$A$ GeV. The analysis was performed for charged particles at forward center-of-mass…

Nuclear Experiment · Physics 2013-05-29 The NA49 Collaboration

Analytical expressions are given for the static structure factor S(k) and the pair correlation function g(r) for uniform ideal Bose-Einstein and Fermi-Dirac gases for all temperatures. In the vicinity of Bose Einstein condensation (BEC)…

Quantum Gases · Physics 2015-05-30 J. Bosse , K. N. Pathak , G. S. Singh

We discuss the role of quantum coherence in the energy fluctuations of open quantum systems. To this aim, we introduce a protocol, to which we refer to as the end-point-measurement scheme, allowing to define the statistics of energy changes…

Quantum Physics · Physics 2022-04-13 S. Gherardini , A. Belenchia , M. Paternostro , A. Trombettoni

We present first data on event-by-event fluctuations in the average transverse momentum of charged particles produced in Pb+Pb collisions at the CERN SPS. This measurement provides previously unavailable information allowing sensitive tests…

High Energy Physics - Experiment · Physics 2008-11-26 NA49 collaboration , H. Appelshauser
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