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One of the main goals of the RHIC Beam Energy Scan (BES) program is to study the QCD phase structure, which includes the search for the QCD critical point, over a wide range of chemical potential. Theoretical calculations predict that…

High Energy Physics - Experiment · Physics 2016-11-23 Ji Xu

Shape-dependent thermodynamics and non-local hydrodynamics are argued to occur in dissipative steady states of driven diffusive systems. These predictions are confirmed by numerical simulations. Unlike power-law correlations, these…

Statistical Mechanics · Physics 2009-10-31 Francis J. Alexander , Gregory L. Eyink

The nonlinear boson diffusion equation is taken as a basis to account for the fast thermalization of gluons in the initial stages of relativistic heavy-ion collisions. For constant drift and diffusion coefficients with schematic initial…

High Energy Physics - Phenomenology · Physics 2025-11-25 J. Rössler , G. Wolschin

In this note we discuss a paradigmatic example of interacting particles subject to non conservative external forces and to the action of thermostats consisting of external (finite) reservoirs of particles. We then consider a model of…

Statistical Mechanics · Physics 2009-11-11 F. Bonetto , G. Gallavotti , A. Giuliani , F. Zamponi

There is a well-established relation between the spatial asymmetry in the initial stage of a heavy-ion collision and the final momentum anisotropy, which allows for a separation of effects from initial conditions vs. later evolution and has…

Nuclear Theory · Physics 2020-06-04 Rodrigo Franco , Matthew Luzum

We consider systems of particles hopping stochastically on $d$-dimensional lattices with space-dependent probabilities. We map the master equation onto an evolution equation in a Fock space where the dynamics are given by a quantum…

Condensed Matter · Physics 2007-05-23 Gunter Schuetz , Sven Sandow

We present a systematic procedure for analyzing cumulants to arbitrary order in the context of heavy-ion collisions. It generalizes and improves existing procedures in many respects. In particular, particles which are correlated are allowed…

Nuclear Theory · Physics 2017-04-28 Philippe Di Francesco , Maxime Guilbaud , Matthew Luzum , Jean-Yves Ollitrault

A Brownian particle floating in a narrow corrugated (sinusoidal) channel with fluctuating cross section exhibits non-Gaussian normal diffusion. Its displacements are distributed according to a Gaussian law for very short and asymptotically…

Statistical Mechanics · Physics 2019-10-09 Yunyun Li , Fabio Marchesoni , Debajyoti Debnath , Pulak K. Ghosh

Fluctuations of conserved quantities are sensitive observables to probe the signature of QCD phase transition and critical point in heavy-ion collisions. With the UrQMD model, we have studied the centrality and energy dependence of various…

Nuclear Experiment · Physics 2016-08-03 Ji Xu , Shili Yu , Feng Liu , Xiaofeng Luo

This paper compares theory and experiment for the kinetics of time-dependent sedimentation. We discuss non-interacting suspensions and colloids which may exhibit behavior similar to the one-dimensional motion of compressible gas. The…

Condensed Matter · Physics 2016-08-31 Sergei E. Esipov

The dynamics of fluctuating radially growing interfaces is approached using the formalism of stochastic growth equations on growing domains. This framework reveals a number of dynamic features arising during surface growth. For fast growth,…

Statistical Mechanics · Physics 2011-10-04 Carlos Escudero

A sharp change in apparent mobility at a characteristic temperature that depends on the observation time has been reported in experiments and simulations of hydrated proteins. Such behavior is often discussed in the context of the protein…

Statistical Mechanics · Physics 2026-05-01 Masahiro Shirataki , Takuma Akimoto

In a previous paper \cite{MakingPredictions}, a method of comparing the volumes of thermalized regions in eternally inflating universe was introduced. In this paper, we investigate the dependence of the results obtained through that method…

General Relativity and Quantum Cosmology · Physics 2009-10-28 Serge Winitzki , Alexander Vilenkin

An interesting opportunity to determine thermodynamic and transport properties in more detail is to identify generic statistical properties of initial density perturbations. Here we study event-by-event fluctuations in terms of correlation…

High Energy Physics - Phenomenology · Physics 2014-08-29 Stefan Floerchinger , Urs Achim Wiedemann

Predicting turbulent flame speed (the large time front speed) is a fundamental problem in turbulent combustion theory. Several models have been proposed to study the turbulent flame speed, such as the G-equations, the F-equations…

Analysis of PDEs · Mathematics 2011-05-30 Jack Xin , Yifeng Yu

Complex systems are often non-stationary, typical indicators are continuously changing statistical properties of time series. In particular, the correlations between different time series fluctuate. Models that describe the multivariate…

Disordered Systems and Neural Networks · Physics 2021-05-26 Thomas Guhr , Andreas Schell

Proton number fluctuation is sensitive observable to search for the QCD critical point in heavy-ion collisions. In this paper, we studied rapidity acceptance dependence of the proton cumulants and correlation functions in most central Au+Au…

Nuclear Experiment · Physics 2020-03-18 Yu Zhang , Shu He , Hui Liu , Zhenzhen Yang , Xiaofeng Luo

We propose a method to separate \Delta\eta-dependent and \Delta\eta-independent azimuthal correlations using two- and four-particle cumulants between pseudo-rapidity (\eta) bins in symmetric heavy-ion collisions. The \Delta\eta-independent…

Nuclear Experiment · Physics 2012-10-10 Lingshan Xu , Li Yi , Daniel Kikola , Joshua Konzer , Fuqiang Wang , Wei Xie

We consider diffusive lattice gases on a ring and analyze the stability of their density profiles conditionally to a current deviation. Depending on the current, one observes a phase transition between a regime where the density remains…

Statistical Mechanics · Physics 2009-11-11 T. Bodineau , B. Derrida

In relativistic heavy-ion collisions, the event-by-event mean transverse momentum fluctuations are sensitive to overlap area and energy density fluctuations in initial state. We present a framework to calculate $p_{\mathrm{T}}$ fluctuations…

Nuclear Theory · Physics 2022-09-01 Somadutta Bhatta , Chunjian Zhang , Jiangyong Jia
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