Kinetic theory ≈ Kinetic theory
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Quasiparticle kinetic theory for Calogero models Open
We show that the quasiparticle kinetic theory for quantum and classical Calogero models reduces to the free-streaming Boltzmann equation. We reconcile this simple emergent behaviour with the strongly interacting character of the model by d…
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New theories of relativistic hydrodynamics in the LHC era Open
The success of relativistic hydrodynamics as an essential part of the phenomenological description of heavy-ion collisions at RHIC and the LHC has motivated a significant body of theoretical work concerning its fundamental aspects. Our rev…
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Isotropization and Hydrodynamization in Weakly Coupled Heavy-Ion Collisions Open
We numerically solve the (2+1)-dimensional effective kinetic theory of weak coupling QCD under longitudinal expansion, relevant for early stages of heavy-ion collisions. We find agreement with viscous hydrodynamics and classical Yang-Mills…
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Solvable Hydrodynamics of Quantum Integrable Systems Open
The conventional theory of hydrodynamics describes the evolution in time of chaotic many-particle systems from local to global equilibrium. In a quantum integrable system, local equilibrium is characterized by a local generalized Gibbs ens…
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Vehicular traffic, crowds, and swarms: From kinetic theory and multiscale methods to applications and research perspectives Open
This paper presents a review and critical analysis on the modeling of the dynamics of vehicular traffic, human crowds and swarms seen as living and, hence, complex systems. It contains a survey of the kinetic models developed in the last 1…
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Relativistic Fluid Dynamics Far From Local Equilibrium Open
Fluid dynamics is traditionally thought to apply only to systems near local equilibrium. In this case, the effective theory of fluid dynamics can be constructed as a gradient series. Recent applications of resurgence suggest that this grad…
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Introduction to hydrodynamics Open
Hydrodynamics has been successful in providing a good description of the bulk dynamics in ultra-relativistic heavy ion collisions. In this brief review, we provide basics of the theory of viscous hydrodynamics. Topics covered include deriv…
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Relativistic chiral kinetic theory from quantum field theories Open
The chiral kinetic theory of Weyl fermions with collisions in the presence of\nweak electric and magnetic fields is derived from quantum field theories. It is\nfound that the side-jump terms in the perturbative solution of Wigner functions…
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Energy transfer, pressure tensor, and heating of kinetic plasma Open
Kinetic plasma turbulence cascade spans multiple scales ranging from macroscopic fluid flow to sub-electron scales. Mechanisms that dissipate large scale energy, terminate the inertial range cascade, and convert kinetic energy into heat ar…
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Matching the Nonequilibrium Initial Stage of Heavy Ion Collisions to Hydrodynamics with QCD Kinetic Theory Open
High-energy nuclear collisions produce a nonequilibrium plasma of quarks and gluons which thermalizes and exhibits hydrodynamic flow. There are currently no practical frameworks to connect the early particle production in classical field s…
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Foundations of Chemical Kinetics Open
This book examines the foundational theories of chemical kinetics. The first part covers gas-phase kinetics, while the second focuses on reactions in solution. Expounding on the theory, the book explains calculation procedures in detail us…
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Collisions in Chiral Kinetic Theory Open
Using a covariant formalism, we construct a chiral kinetic theory Lorentz invariant to order O(ℏ), which includes collisions. We find a new contribution to the particle number current due to the side jumps required by the conservation of a…
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Nonlinear responses of chiral fluids from kinetic theory Open
The second-order nonlinear responses of inviscid chiral fluids near local\nequilibrium are investigated by applying the chiral kinetic theory (CKT)\nincorporating side-jump effects. It is shown that the local equilibrium\ndistribution func…
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Anisotropic nonequilibrium hydrodynamic attractor Open
We determine the dynamical attractors associated with anisotropic\nhydrodynamics (aHydro) and the DNMR equations for a 0+1d conformal system using\nkinetic theory in the relaxation time approximation. We compare our results to\nthe non-equ…
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Relativistic quantum kinetic theory for massive fermions and spin effects Open
We present the complete first order relativistic quantum kinetic theory with spin for massive fermions derived from the Wigner function formalism in a concise form that shows explicitly how the 32 Wigner equations reduce to 4 independent t…
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Hydrodynamization in kinetic theory: Transient modes and the gradient expansion Open
We explore the transition to hydrodynamics in a weakly-coupled model of\nquark-gluon plasma given by kinetic theory in the relaxation time approximation\nwith conformal symmetry. We demonstrate that the gradient expansion in this\nmodel ha…
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Collision-dominated nonlinear hydrodynamics in graphene Open
We present an effective hydrodynamic theory of electronic transport in graphene in the interaction-dominated regime. We derive the emergent hydrodynamic description from the microscopic Boltzmann kinetic equation taking into account dissip…
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Thermal Transport in Crystals as a Kinetic Theory of Relaxons Open
Thermal conductivity in dielectric crystals is the result of the relaxation of lattice vibrations described by the phonon Boltzmann transport equation. Remarkably, an exact microscopic definition of the heat carriers and their relaxation t…
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Dissipative spin dynamics in relativistic matter Open
Using classical description of spin degrees of freedom, we extend recent\nformulation of the perfect-fluid hydrodynamics for spin-polarized fluids to the\ncase including dissipation. Our work is based on the analysis of classical\nkinetic …
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Nonequilibrium Dynamics and Weakly Broken Integrability Open
Motivated by dynamical experiments on cold atomic gases, we develop a quantum kinetic approach to weakly perturbed integrable models out of equilibrium. Using the exact matrix elements of the underlying integrable model, we establish an an…
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Role of Correlations in the Collective Behavior of Microswimmer Suspensions Open
In this Letter, we study the collective behavior of a large number of self-propelled microswimmers immersed in a fluid. Using unprecedentedly large-scale lattice Boltzmann simulations, we reproduce the transition to bacterial turbulence. W…
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Mass correction to chiral kinetic equations Open
We study fermion mass correction to chiral kinetic equations in electromagnetic fields. Different from the chiral limit where fermion number density is the only independent distribution, the number and spin densities are coupled to each ot…
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Relativistic hydrodynamic attractors with broken symmetries: non-conformal and non-homogeneous Open
Standard textbooks will state that hydrodynamics requires near-equilibrium to be applicable. Recently, however, out-of-equilibrium attractor solutions for hydrodynamics have been found in kinetic theory and holography in systems with a hig…
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Initial conditions for hydrodynamics from weakly coupled pre-equilibrium evolution Open
We use effective kinetic theory, accurate at weak coupling, to simulate the pre-equilibrium evolution of transverse energy and flow perturbations in heavy-ion collisions. We provide a Green function which propagates the initial perturbatio…
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Fully Kinetic Simulation of 3D Kinetic Alfvén Turbulence Open
We present results from a three-dimensional particle-in-cell simulation of plasma turbulence, resembling the plasma conditions found at kinetic scales of the solar wind. The spectral properties of the turbulence in the subion range are con…
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What is life? A perspective of the mathematical kinetic theory of active particles Open
The modeling of living systems composed of many interacting entities is treated in this paper with the aim of describing their collective behaviors. The mathematical approach is developed within the general framework of the kinetic theory …
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Chemical equilibration in weakly coupled QCD Open
We study thermalization, hydrodynamization, and chemical equilibration in out-of-equilibrium quark-gluon plasma starting from various initial conditions using QCD effective kinetic theory, valid at weak coupling. In nonexpanding systems ga…
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Current-dependent potential for nonlocal absorption in quantum hydrodynamic theory Open
The quantum hydrodynamic theory is a promising method for describing microscopic details of macroscopic systems. The hydrodynamic equation can be directly obtained from a single particle Kohn-Sham equation that includes the contribution of…
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Unified gas-kinetic wave-particle methods. II. Multiscale simulation on unstructured mesh Open
In this paper, we present a unified gas-kinetic wave-particle (UGKWP) method on unstructured mesh for the multiscale simulation of continuum and rarefied flow. Inheriting from the multiscale transport in the unified gas-kinetic scheme (UGK…
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Covariant spin kinetic theory I: collisionless limit * Open
We develop a covariant kinetic theory for massive fermions in a curved spacetime and an external electromagnetic field based on quantum field theory. We derive four coupled semi-classical kinetic equations accurate to , which describe the …