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We develop a relativistic lattice Boltzmann (LB) model, providing a more accurate description of dissipative phenomena in relativistic hydrodynamics than previously available with existing LB schemes. The procedure applies to the…

Computational Physics · Physics 2015-06-12 M. Mendoza , I. Karlin , S. Succi , H. J. Herrmann

In a relativistic context, the main purpose of Extended Irreversible Thermodynamics (EIT) is to generalize the principles of non-equilibrium thermodynamics to the domain of fluid dynamics. In particular, the theory aims at modelling any…

General Relativity and Quantum Cosmology · Physics 2021-06-01 Lorenzo Gavassino , Marco Antonelli

Relativistic hydrodynamics provides a solid framework for evolving matter and energy in a wide variety of phenomena. Nevertheless, the inclusion of dissipative effects in realistic scenarios through causal, stable, and well-posed theories…

General Relativity and Quantum Cosmology · Physics 2025-09-10 Delfina Fantini , Marcelo E. Rubio

By refining the method proposed in arXiv:2010.07660, entropy current and entropy density for a relativistic hydrostatic equilibrium system with spherical symmetry are constructed as a non-Noether conserved charge in the Einstein gravity…

General Relativity and Quantum Cosmology · Physics 2024-07-12 Shuichi Yokoyama

Relativistic dissipative hydrodynamic model at finite density is a promising tool for analyzing the dense QCD matter created in the beam energy scan experiments. The hydrodynamic frame can be chosen in the direction of energy flow, which is…

Nuclear Theory · Physics 2021-10-13 Akihiko Monnai

Within the theoretical framework of divergence-type theories (DTTs), we set up a consistent nonlinear hydrodynamical description of a conformal fluid in flat space-time. DTTs go beyond second-order (in velocity gradients) theories, and are…

High Energy Physics - Phenomenology · Physics 2010-04-30 J. Peralta-Ramos , E. Calzetta

When two nuclei collide close to the speed of light, a fluid state known as the quark-gluon plasma is formed. Attempts to understand the dynamics of this fluid have generated significant research into dissipative relativistic fluid…

Nuclear Theory · Physics 2024-02-21 Nicki Mullins , Mauricio Hippert , Jorge Noronha , Lorenzo Gavassino

For static matter in a gravitational field, different conventions for equilibrium local temperature exist in the classic physics literature. We illustrate the difference between two popular conventions using black-body radiation in a…

General Relativity and Quantum Cosmology · Physics 2023-04-26 Pavel Kovtun

Non-equilibrium fluid dynamics derived from the extended irreversible thermodynamics of the causal M\"uller--Israel--Stewart theory of dissipative processes in relativistic fluids based on Grad's moment method is applied to the study of the…

Nuclear Theory · Physics 2008-11-26 Azwinndini Muronga

The relativistic continuity equations for the extensive thermodynamic quantities are derived based on the divergence theorem in Minkowski space outlined by St\"uckelberg. This covariant approach leads to a relativistic formulation of the…

Statistical Mechanics · Physics 2022-10-11 Sylvain D. Brechet , Marin C. A. Girard

We deal with a novel approach to formulation of the relativistic dissipative hydrodynamics by extending the so-called matching conditions widely used in the literature. The form of the non-equilibrium entropy current can be determined by…

Nuclear Theory · Physics 2015-06-03 T. Osada

In this paper, we aim to address several important issues about the recently developed lattice Boltzmann (LB) model for relativistic hydrodynamics [M. Mendoza et al., Phys. Rev. Lett. 105, 014502 (2010); Phys. Rev. D 82, 105008 (2010)].…

Computational Physics · Physics 2012-11-15 Q. Li , K. H. Luo , X. J. Li

We present a new formalism for the theory of relativistic dissipative hydrodynamics. Here, we look for the minimal structure of such a theory which satisfies the covariance and causality by introducing the memory effect in irreversible…

High Energy Physics - Phenomenology · Physics 2008-11-26 T. Koide , G. S. Denicol , Ph. Mota , T. Kodama

We extend the first order dissipative relativistic hydrodynamics model of Bemfica-Disconzi-Noronha- Kovtun (BDNK) in order to include the charge number current in full first order expansion with out-of-equilibrium contribution proportional…

General Relativity and Quantum Cosmology · Physics 2026-03-05 Federico Schianchi , Fernando Abalos

When liquids are cooled sufficiently rapidly below their melting temperature, they may bypass crystalization and, instead, enter a long-lived metastable supercooled state that has long been the focus of intense research. Although they…

Statistical Mechanics · Physics 2023-12-05 Zohar Nussinov

We study first and second order theories of relativistic diffusion coupled to hydrodynamics under the approximation, valid at mid-rapidity in the RHIC and LHC, that conserved number densities are much smaller than the entropy density. We…

High Energy Physics - Phenomenology · Physics 2009-11-19 Rajeev S. Bhalerao , Sourendu Gupta

We present a new class of exact fireball solutions of relativistic dissipative hydrodynamics. We describe new exact solutions both for the relativistic Navier-Stokes and for the Israel-Stewart theory, for arbitrary shear and bulk…

Nuclear Theory · Physics 2021-06-22 T. Csorgo , G. Kasza

In the Second Order Theories (SOT) of real relativistic fluids, the non-ideal properties of the flows are described by a new set of dynamical tensor variables. In this work we explore the non-linear dynamics of those variables in a…

High Energy Physics - Theory · Physics 2020-07-14 Nahuel Mirón-Granese , Alejandra Kandus , Esteban Calzetta

Water shows intriguing thermodynamic and dynamic anomalies in the supercooled liquid state. One possible explanation of the origin of these anomalies lies in the existence of a metastable liquid-liquid phase transition (LLPT) between two…

Statistical Mechanics · Physics 2016-05-04 Rakesh S. Singh , John W. Biddle , Pablo G. Debenedetti , Mikhail A. Anisimov

An approach that extends equilibrium thermodynamics principles to out-of-equilibrium systems is based on the local equilibrium hypothesis. However, the validity of the a priori assumption of local equilibrium has been questioned due to the…

Fluid Dynamics · Physics 2022-02-04 Atanu Chatterjee , Takahiko Ban , Germano Iannacchione