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We address the problem of calculating the correlation functions of one-dimensional two-component gases with strong repulsive contact interactions. The model considered in this paper describes particles with fractional statistics and in…

Statistical Mechanics · Physics 2020-01-01 Ovidiu I. Patu

We develop a general theory of non-equilibrium states based on the Keldysh formalism, in particular, for charged-particle systems under static uniform electromagnetic fields. The Dyson equation for the uniform stationary state is rewritten…

Statistical Mechanics · Physics 2009-11-11 Shigeki Onoda , Naoyuki Sugimoto , Naoto Nagaosa

Direct Monte Carlo simulations of the Enskog-Boltzmann equation for a spatially uniform system of smooth inelastic spheres are performed. In order to reach a steady state, the particles are assumed to be under the action of an external…

Statistical Mechanics · Physics 2016-08-31 J. M. Montanero , A. Santos

Using a quantum Boltzmann equation framework, we analyse the nature of generic low-energy deformations of a critical Fermi surface, which exists at the non-Fermi liquid fixed point of a system consisting of fermions interacting with…

Strongly Correlated Electrons · Physics 2023-07-25 Kazi Ranjibul Islam , Ipsita Mandal

We formulate a kinetic theory of self-interacting meson fields with an aim to describe the freezeout stage of the space-time evolution of matter in ultrarelativistic nuclear collisions. Kinetic equations are obtained from the Heisenberg…

Nuclear Theory · Physics 2008-11-26 T. Matsui , M. Matsuo

A model for the collisional stopping of ions on free electrons in warm dense matter is developed and explored. It is based on plasma kinetic theory, but with modifications to address the warm dense matter regime. Specifically, it uses the…

Plasma Physics · Physics 2026-02-06 Lucas Babati , Shane Rightley , Nathaniel Shaffer , Scott Baalrud

The Enskog kinetic theory for moderately dense gas-solid suspensions under simple shear flow is considered as a model to analyze the rheological properties of the system. The influence of the environmental fluid on solid particles is…

Statistical Mechanics · Physics 2020-06-22 Hisao Hayakawa , Satoshi Takada , Vicente Garzo

I review results concerning the derivation of effective equations for the dynamics of interacting Fermi gases in a high-density regime of mean-field type. Three levels of effective theories, increasing in precision, can be distinguished:…

Mathematical Physics · Physics 2022-08-17 Niels Benedikter

We show that the on-shell effective theory (OSEFT) is the quantum field theory counterpart of a Foldy-Wouthuysen diagonalization of relativistic quantum mechanics for massless fermions. Thus, it is free of the Zitterbewegung oscillations…

High Energy Physics - Phenomenology · Physics 2020-07-15 Stefano Carignano , Cristina Manuel , Juan M. Torres-Rincon

In non-diffusive conduction regimes of strongly correlated quantum electron systems, electromagnetic perturbations simultaneously probe the electronic dynamics in time and space: the exchanged energy $\hbar \omega$ excites retarded, i.e.,…

Strongly Correlated Electrons · Physics 2026-05-05 Davide Valentinis

We present a kinetic theory for inhomogeneous systems with weak long-range interactions. Starting from the Klimontovich equation and using a quasilinear theory, we obtain a closed kinetic equation describing the relaxation of the…

Statistical Mechanics · Physics 2015-06-25 Pierre-Henri Chavanis

Systems with long range interactions present generically the formation of quasi-stationary long-lived non-equilibrium states. These states relax to Boltzmann equilibrium following a dynamics which is not well understood. In this paper we…

Statistical Mechanics · Physics 2015-06-12 B. Marcos

The Einstein relation for a driven moderately dense granular gas in $d$-dimensions is analyzed in the context of the Enskog kinetic equation. The Enskog equation neglects velocity correlations but retains spatial correlations arising from…

Statistical Mechanics · Physics 2009-11-13 Vicente Garzo

We study the dynamics of a non-degenerate, harmonically trapped Fermi gas following a sudden ramp of the spin-orbit coupling strength. In the non-interacting limit, we solve the Boltzmann equation in the presence of spin orbit coupling…

Quantum Gases · Physics 2013-09-27 Stefan S. Natu , S. Das Sarma

A variational formulation for the calculation of interacting fermion systems based on the density-matrix functional theory is presented. Our formalism provides for a natural integration of explicit many-particle effects into standard…

Strongly Correlated Electrons · Physics 2013-05-29 Peter E. Bloechl , Christian F. J. Walther , Thomas Pruschke

Many-body theory is largely based on self-consistent equations that are constructed in terms of the physical quantity of interest itself, for example the density. Therefore, the calculation of important properties such as total energies or…

Materials Science · Physics 2015-10-28 Adrian Stan , Pina Romaniello , Santiago Rigamonti , Lucia Reining , J. A. Berger

Understanding the behavior of non-Fermi liquids (NFLs) is an important topic in condensed matter physics. Here we introduce an exactly solvable multi-orbital model based on iron oxypnictides and the Hatsugai-Kohmoto model, and provide exact…

Strongly Correlated Electrons · Physics 2025-08-18 Hui Li , Run-Yu Chen , Wen-Yuan Liu , Yin Zhong , Hai-Qing Lin

We present a mean-field model of the dense nuclear matter equation of state designed for use in computationally demanding hadronic transport simulations. Our approach, based on the relativistic Landau Fermi-liquid theory, allows us to…

Nuclear Theory · Physics 2021-09-17 Agnieszka Sorensen

In this article, we propose a generalized non-equilibrium chemical kinetics model from \textit{ab initio} simulation data obtained using accurate potential energy surfaces developed recently for the purpose of studying high-temperature air…

Fluid Dynamics · Physics 2020-07-15 Narendra Singh , Thomas Schwartzentruber

We develop a rigorous formalism for the description of the kinetic evolution of many-particle systems with the dissipative interaction. The relationships of the evolution of a hard sphere system with inelastic collisions described within…

Mathematical Physics · Physics 2013-12-23 M. S. Borovchenkova , V. I. Gerasimenko