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We study reaction-diffusion systems where diffusion is by jumps whose sizes are distributed exponentially. We first study the Fisher-like problem of propagation of a front into an unstable state, as typified by the A+B $\to$ 2A reaction. We…

Statistical Mechanics · Physics 2009-11-11 Elisheva Cohen , David A. Kessler

We investigate front propagation in a reacting particle system in which particles perform scale-free random walks known as Levy flights. The system is described by a fractional generalization of a reaction-diffusion equation. We focus on…

Statistical Mechanics · Physics 2007-05-23 D. Brockmann , L. Hufnagel

We investigate fluctuations in the canonical ensemble of an Abelian charge, such as baryon number. Our focus is on cumulants and factorial cumulants of baryon and antibaryon multiplicity distributions, including their sum and difference, in…

Nuclear Theory · Physics 2025-08-27 Bengt Friman , Krzysztof Redlich , Anar Rustamov

Within nuclear thermodynamics and an isospin-dependent transport model we investigate respective roles of the nuclear mean field and the 2-body stochastic scattering on the evolution of density and isospin fluctuations in either…

Nuclear Theory · Physics 2008-11-26 Bao-An Li , Andrew T. Sustich , Matt Tilley , Bin Zhang

Primary proton-air interactions at ultra-high energies leave a physically interpretable imprint on the correlated fluctuations of the depth of shower maximum and the muon content in extensive air showers. This imprint reflects the…

High Energy Astrophysical Phenomena · Physics 2026-02-26 Lorenzo Cazon , Ruben Conceição , Miguel Alexandre Martins , Felix Riehn

We use dynamical models that include bulk rotation, velocity dispersion anisotropy and both stars and dark matter to explore the conditions that give rise to the early-type galaxy scaling relations referred to as the Fundamental Plane (FP)…

Astrophysics of Galaxies · Physics 2015-11-18 Huanian Zhang , Dennis Zaritsky

The study of fluctuation-induced transport is concerned with the directed motion of particles on a substrate when subjected to a fluctuating external field. Work over the last two decades provides now precise clues on how the average…

Chaotic Dynamics · Physics 2017-03-24 G. P. Suarez , Miguel Hoyuelos , Dante R. Chialvo

Within the framework of a multi-phase transport model, harmonic flows $v_n$ (n = 2, 3 and 4) are investigated for Au + Au collisions at $\sqrt{s_{NN}}$ = 200 GeV and Pb + Pb collisions at $\sqrt{s_{NN}}$ = 2.76 TeV. The event-by-event…

Nuclear Theory · Physics 2014-04-29 L. X. Han , G. L. Ma , Y. G. Ma , X. Z. Cai , J. H. Chen , S. Zhang , C. Zhong

Recent experimental results in proton-proton and in proton-nucleus collisions at Large Hadron Collider energies show a strong similarity to those observed in nucleus-nucleus collisions, where the formation of a quark-gluon plasma is…

High Energy Physics - Phenomenology · Physics 2020-05-20 Paolo Castorina , Alfredo Iorio , Daniele Lanteri , Martin Spousta , Helmut Satz

We compute the azimuthal eccentricities arising from initial stage fluctuations in high energy proton-nucleus collisions at proper times $\tau \geq 0^+$. We consider two sources of fluctuations, namely the geometrical structure of the…

High Energy Physics - Phenomenology · Physics 2023-05-17 S. Demirci , P. Guerrero-Rodríguez

The Balian-V\'en\'eroni (BV) variational principle, which optimizes the evolution of the state according to the relevant observable in a given variational space, is used at the mean-field level to determine the particle number fluctuations…

Nuclear Theory · Physics 2011-03-23 Cédric Simenel

The large scale fluctuations of the ordered state in active matter systems are usually characterised by studying the "giant number fluctuations" of particles in any finite volume, as compared to the expectations from the central limit…

Soft Condensed Matter · Physics 2018-05-25 Supravat Dey , Dibyendu Das , R. Rajesh

We present the results of a broad, systematic study of heavy-ion induced fission mass distributions for every even-Z compound nucleus ($Z_\mathrm{CN}$) from $^{144}$Gd to $^{212}$Th. We find systematic evidence of shell-driven structure in…

We study the probability density function for the fluctuations of the magnetic order parameter in the low temperature phase of the XY model of finite size. In two-dimensions this system is critical over the whole of the low temperature…

Statistical Mechanics · Physics 2009-10-31 S. T. Bramwell , J. -Y. Fortin , P. C. W. Holdsworth , S. Peysson , J. -F. Pinton , B. Portelli , M. Sellitto

Elliptic flow ($v_2$) fluctuations in central heavy-ion collisions are direct probes of the fluctuating geometry of the quark-gluon plasma, and, as such, are strongly sensitive to any deviation from spherical symmetry in the shape of the…

Nuclear Theory · Physics 2019-03-05 Giuliano Giacalone

We address the equilibrium and out-of-equilibrium behavior of the particle density in many-body systems undergoing quantum transitions driven by the chemical potential $\mu$. They originate from a nontrivial interplay between noncritical…

Statistical Mechanics · Physics 2024-07-22 Davide Rossini , Ettore Vicari

Various measures of charge fluctuations in heavy-ion collisions are discussed. Advantages of the Phi-measure are demonstrated and its relation to other fluctuation measures is established. To get the relation, Phi is expressed through the…

Nuclear Theory · Physics 2016-09-08 Stanislaw Mrowczynski

The dilaton-limit fixed point and the scaling properties of hadrons in the close vicinity of the fixed point in dense baryonic matter uncovered in hidden local symmetry implemented with spontaneously broken scale symmetry are shown to…

Nuclear Theory · Physics 2015-01-14 Won-Gi Paeng , Hyun Kyu Lee , Mannque Rho , Chihiro Sasaki

We studied the effects of centrality fluctuation and deuteron formation on the cumulants ($C_n$) and correlation functions ($\kappa_n$) of protons up to sixth order in most central ($b<3$ fm) Au+Au collisions at $\sqrt{s_\mathrm{NN}}$ = 3…

Nuclear Experiment · Physics 2021-04-29 Arghya Chatterjee , Yu Zhang , Hui Liu , Ruiqin Wang , Shu He , Xiaofeng Luo

Geometric scaling is well confirmed for transverse momentum distributions observed in proton-proton collisions at LHC energies. We introduced multiplicity dependence on a saturation momentum of the geometrical scaling, assuming the scaling…

High Energy Physics - Phenomenology · Physics 2019-10-02 Takeshi Osada , Takuya Kumaoka
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