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We derive and investigate several hydrodynamic formalisms that emerge from a system of classical, ultra-relativistic scalar particles self-interacting via a quartic potential. The specific form of the total cross-section enables the…

Nuclear Theory · Physics 2023-08-23 Gabriel S. Rocha , Caio V. P. de Brito , Gabriel S. Denicol

The description of electron-electron interactions in transport problems is both analytically and numerically difficult. Here we show that a much simpler description of electron transport in the presence of interactions can be achieved in…

Strongly Correlated Electrons · Physics 2009-11-11 Roberto D'Agosta , Massimiliano Di Ventra

A model for energy, pressure and flow velocity distributions at the beginning of relativistic heavy ion collisions is presented, which can be used as initial condition for hydrodynamical calculations. The results show that QGP forms a…

Nuclear Theory · Physics 2007-05-23 V. K. Magas , L. P. Csernai , D. Strottman

The experimental observation of collective behaviour in proton-proton and proton-nucleus collisions poses a fundamental theoretical question regarding the proper characterization of the initial state underlying hydrodynamic evolution. While…

High Energy Physics - Phenomenology · Physics 2026-05-28 Gabriel Rabelo-Soares , Gojko Vujanovic , Giorgio Torrieri

Using deep convolutional neural network (CNN), the nature of the QCD transition can be identified from the final-state pion spectra from hybrid model simulations of heavy-ion collisions that combines a viscous hydrodynamic model with a…

High Energy Physics - Phenomenology · Physics 2020-06-16 Yi-Lun Du , Kai Zhou , Jan Steinheimer , Long-Gang Pang , Anton Motornenko , Hong-Shi Zong , Xin-Nian Wang , Horst Stöcker

Living systems operate far from equilibrium, yet few general frameworks provide global bounds on biological transients. In high-dimensional biological networks like ecosystems, long transients arise from the separate timescales of…

Biological Physics · Physics 2025-04-15 William Gilpin

We study causal viscous hydrodynamics in the context of central relativistic heavy-ion collisions and provide details of a straightforward numerical algorithm to solve the hydrodynamic equations. It is shown that correlation functions of…

Nuclear Theory · Physics 2008-11-26 Rudolf Baier , Paul Romatschke

We derive hydrodynamics of a prototypical one dimensional model, having variable-range hopping, which mimics passive diffusion and ballistic motion of active, or self-propelled, particles. The model has two main ingredients - the hardcore…

Statistical Mechanics · Physics 2020-05-27 Tanmoy Chakraborty , Subhadip Chakraborti , Arghya Das , Punyabrata Pradhan

Recent developments based on relativistic hydrodynamic models in high energy heavy ion collisions are discussed. I focus especially on how hydrodynamics works at RHIC energies and how one can use the most of it in analyses of jet quenching…

Nuclear Theory · Physics 2010-11-30 Tetsufumi Hirano

A dynamical appearance of scaling solutions in the relativistic hydrodynamics applied to describe ultra-relativistic heavy-ion collisions is studied. We consider the boost-invariant cylindrically symmetric systems and the effects of the…

Nuclear Theory · Physics 2009-11-10 Mikolaj Chojnacki , Wojciech Florkowski , Tamas Csorgo

Equilibrium thermodynamics is grounded in the law of energy conservation, with a specific focus on how systems exchange energy with their environment during transitions between equilibrium states. These transitions are typically…

Statistical Mechanics · Physics 2024-08-19 Karol Makuch

It is argued that the consistent description of the transverse-momentum spectra, elliptic flow, and the HBT radii in the relativistic heavy-ion collisions studied at RHIC may be obtained within the hydrodynamic model if one uses the…

Nuclear Theory · Physics 2010-01-15 W. Florkowski , W. Broniowski , M. Chojnacki , A. Kisiel

The initial conditions of one-dimensional expanding viscous fluids in relativistic heavy-ion collisions are scrutinized in terms of nonlinear causality of the relativistic hydrodynamic equations. Conventionally, it is believed that the…

Nuclear Theory · Physics 2025-02-03 Tau Hoshino , Tetsufumi Hirano

We propose a test of Monte Carlo Parton Cascade models based on analytic solutions of covariant kinetic theory for longitudinally boost and transverse translation invariant boundary conditions. We compute the evolution of the transverse…

Nuclear Theory · Physics 2009-10-09 Miklos Gyulassy , Yang Pang , Bin Zhang

We consider a new approach to the description of the collective behavior of complex systems of mathematical biology based on the evolution equations for observables of such systems. This representation of the kinetic evolution seems, in…

Soft Condensed Matter · Physics 2020-07-07 V. I. Gerasimenko

In this review, I present the description of the early stages of heavy ion collisions at high energy in the Color Glass Condensate framework, from the pre-collision high energy nuclear wavefunction to the point where hydrodynamics may start…

High Energy Physics - Phenomenology · Physics 2015-09-07 F. Gelis

By generalizing a class of models recently introduced to account for protracted transients in biological systems, we identify a novel mechanism for hyperuniformity. In this model, competition of particles over a shared resource guides the…

Statistical Mechanics · Physics 2025-12-11 Tal Agranov , Natan Wiegenfeld , Omer Karin , Benjamin D. Simons

Nonintegrability plays a crucial role in thermalization and transport processes in many-body Hamiltonian systems, yet its quantitative effects remain unclear. To reveal the connection between the macroscopic relaxation properties and the…

Statistical Mechanics · Physics 2023-10-20 Weicheng Fu , Zhen Wang , Yisen Wang , Yong Zhang , Hong Zhao

The fluidity of the hot and dense QCD matter is a key characteristic of the medium created in high-energy heavy-ion collisions. We extend the framework of the relativistic hydrodynamic model to incorporate non-thermal momentum distributions…

Nuclear Theory · Physics 2025-10-22 Akihiko Monnai

The application range of perfect spin hydrodynamics is studied in two cases: one based on the classical spin description and the other using a quantum spin density matrix (Wigner function). Different forms of the conditions connecting the…

High Energy Physics - Phenomenology · Physics 2026-01-22 Zbigniew Drogosz , Wojciech Florkowski , Valeriya Mykhaylova