Kinetic Theory

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Laurence G Yaffe - One of the best experts on this subject based on the ideXlab platform.

  • effective Kinetic Theory for high temperature gauge theories
    Journal of High Energy Physics, 2003
    Co-Authors: Peter Arnold, Guy D Moore, Laurence G Yaffe
    Abstract:

    Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature T) can be described by an effective Kinetic Theory, valid on sufficiently large time and distance scales. The appropriate Boltzmann equations depend on effective scattering rates for various types of collisions that can occur in the plasma. The resulting effective Kinetic Theory may be used to evaluate observables which are dominantly sensitive to the dynamics of typical ultrarelativistic excitations. This includes transport coefficients (viscosities and diffusion constants) and energy loss rates. In this paper, we show how to formulate effective Boltzmann equations which will be adequate to compute such observables to leading order in the running coupling g(T) of high-temperature gauge theories [and all orders in 1/log g(T)?1]. As previously proposed in the literature, a leading-order treatment requires including both 22 particle scattering processes as well as effective ``12'' collinear splitting processes in the Boltzmann equations. The latter account for nearly collinear bremsstrahlung and pair production/annihilation processes which take place in the presence of fluctuations in the background gauge field. Our effective Kinetic Theory is applicable not only to near-equilibrium systems (relevant for the calculation of transport coefficients), but also to highly non-equilibrium situations, provided some simple conditions on distribution functions are satisfied.

  • effective Kinetic Theory for high temperature gauge theories
    arXiv: High Energy Physics - Phenomenology, 2002
    Co-Authors: Peter Arnold, Guy D Moore, Laurence G Yaffe
    Abstract:

    Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature $T$) can be described by an effective Kinetic Theory, valid on sufficiently large time and distance scales. The appropriate Boltzmann equations depend on effective scattering rates for various types of collisions that can occur in the plasma. The resulting effective Kinetic Theory may be used to evaluate observables which are dominantly sensitive to the dynamics of typical ultrarelativistic excitations. This includes transport coefficients (viscosities and diffusion constants) and energy loss rates. We show how to formulate effective Boltzmann equations which will be adequate to compute such observables to leading order in the running coupling $g(T)$ of high-temperature gauge theories [and all orders in $1/\log g(T)^{-1}$]. As previously proposed in the literature, a leading-order treatment requires including both $2 2$ particle scattering processes as well as effective ``$1 2$'' collinear splitting processes in the Boltzmann equations. The latter account for nearly collinear bremsstrahlung and pair production/annihilation processes which take place in the presence of fluctuations in the background gauge field. Our effective Kinetic Theory is applicable not only to near-equilibrium systems (relevant for the calculation of transport coefficients), but also to highly non-equilibrium situations, provided some simple conditions on distribution functions are satisfied.

Håkan Andréasson - One of the best experts on this subject based on the ideXlab platform.

  • The Einstein-Vlasov System/Kinetic Theory
    Living Reviews in Relativity, 2005
    Co-Authors: Håkan Andréasson
    Abstract:

    The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein-Vlasov system. This system couples Einstein’s equations to a Kinetic matter model. Kinetic Theory has been an important field of research during several decades in which the main focus has been on nonrelativistic and special relativistic physics, i.e. to model the dynamics of neutral gases, plasmas, and Newtonian self-gravitating systems. In 1990, Rendall and Rein initiated a mathematical study of the Einstein-Vlasov system. Since then many theorems on global properties of solutions to this system have been established. The Vlasov equation describes matter phenomenologically, and it should be stressed that most of the theorems presented in this article are not presently known for other such matter models (i.e. fluid models). This paper gives introductions to Kinetic Theory in non-curved spacetimes and then the Einstein-Vlasov system is introduced. We believe that a good understanding of Kinetic Theory in non-curved spacetimes is fundamental to good comprehension of Kinetic Theory in general relativity.

  • the einstein vlasov system Kinetic Theory
    Living Reviews in Relativity, 2002
    Co-Authors: Håkan Andréasson
    Abstract:

    The main purpose of this article is to provide a guide to theorems on global properties of solutions to the Einstein-Vlasov system. This system couples Einstein’s equations to a Kinetic matter model. Kinetic Theory has been an important field of research during several decades in which the main focus has been on nonrelativistic and special relativistic physics, i.e. to model the dynamics of neutral gases, plasmas, and Newtonian self-gravitating systems. In 1990, Rendall and Rein initiated a mathematical study of the Einstein-Vlasov system. Since then many theorems on global properties of solutions to this system have been established. The Vlasov equation describes matter phenomenologically, and it should be stressed that most of the theorems presented in this article are not presently known for other such matter models (i.e. fluid models). This paper gives introductions to Kinetic Theory in non-curved spacetimes and then the Einstein-Vlasov system is introduced. We believe that a good understanding of Kinetic Theory in non-curved spacetimes is fundamental to good comprehension of Kinetic Theory in general relativity.

Peter Arnold - One of the best experts on this subject based on the ideXlab platform.

  • effective Kinetic Theory for high temperature gauge theories
    Journal of High Energy Physics, 2003
    Co-Authors: Peter Arnold, Guy D Moore, Laurence G Yaffe
    Abstract:

    Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature T) can be described by an effective Kinetic Theory, valid on sufficiently large time and distance scales. The appropriate Boltzmann equations depend on effective scattering rates for various types of collisions that can occur in the plasma. The resulting effective Kinetic Theory may be used to evaluate observables which are dominantly sensitive to the dynamics of typical ultrarelativistic excitations. This includes transport coefficients (viscosities and diffusion constants) and energy loss rates. In this paper, we show how to formulate effective Boltzmann equations which will be adequate to compute such observables to leading order in the running coupling g(T) of high-temperature gauge theories [and all orders in 1/log g(T)?1]. As previously proposed in the literature, a leading-order treatment requires including both 22 particle scattering processes as well as effective ``12'' collinear splitting processes in the Boltzmann equations. The latter account for nearly collinear bremsstrahlung and pair production/annihilation processes which take place in the presence of fluctuations in the background gauge field. Our effective Kinetic Theory is applicable not only to near-equilibrium systems (relevant for the calculation of transport coefficients), but also to highly non-equilibrium situations, provided some simple conditions on distribution functions are satisfied.

  • effective Kinetic Theory for high temperature gauge theories
    arXiv: High Energy Physics - Phenomenology, 2002
    Co-Authors: Peter Arnold, Guy D Moore, Laurence G Yaffe
    Abstract:

    Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature $T$) can be described by an effective Kinetic Theory, valid on sufficiently large time and distance scales. The appropriate Boltzmann equations depend on effective scattering rates for various types of collisions that can occur in the plasma. The resulting effective Kinetic Theory may be used to evaluate observables which are dominantly sensitive to the dynamics of typical ultrarelativistic excitations. This includes transport coefficients (viscosities and diffusion constants) and energy loss rates. We show how to formulate effective Boltzmann equations which will be adequate to compute such observables to leading order in the running coupling $g(T)$ of high-temperature gauge theories [and all orders in $1/\log g(T)^{-1}$]. As previously proposed in the literature, a leading-order treatment requires including both $2 2$ particle scattering processes as well as effective ``$1 2$'' collinear splitting processes in the Boltzmann equations. The latter account for nearly collinear bremsstrahlung and pair production/annihilation processes which take place in the presence of fluctuations in the background gauge field. Our effective Kinetic Theory is applicable not only to near-equilibrium systems (relevant for the calculation of transport coefficients), but also to highly non-equilibrium situations, provided some simple conditions on distribution functions are satisfied.

Guy D Moore - One of the best experts on this subject based on the ideXlab platform.

  • effective Kinetic Theory for high temperature gauge theories
    Journal of High Energy Physics, 2003
    Co-Authors: Peter Arnold, Guy D Moore, Laurence G Yaffe
    Abstract:

    Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature T) can be described by an effective Kinetic Theory, valid on sufficiently large time and distance scales. The appropriate Boltzmann equations depend on effective scattering rates for various types of collisions that can occur in the plasma. The resulting effective Kinetic Theory may be used to evaluate observables which are dominantly sensitive to the dynamics of typical ultrarelativistic excitations. This includes transport coefficients (viscosities and diffusion constants) and energy loss rates. In this paper, we show how to formulate effective Boltzmann equations which will be adequate to compute such observables to leading order in the running coupling g(T) of high-temperature gauge theories [and all orders in 1/log g(T)?1]. As previously proposed in the literature, a leading-order treatment requires including both 22 particle scattering processes as well as effective ``12'' collinear splitting processes in the Boltzmann equations. The latter account for nearly collinear bremsstrahlung and pair production/annihilation processes which take place in the presence of fluctuations in the background gauge field. Our effective Kinetic Theory is applicable not only to near-equilibrium systems (relevant for the calculation of transport coefficients), but also to highly non-equilibrium situations, provided some simple conditions on distribution functions are satisfied.

  • effective Kinetic Theory for high temperature gauge theories
    arXiv: High Energy Physics - Phenomenology, 2002
    Co-Authors: Peter Arnold, Guy D Moore, Laurence G Yaffe
    Abstract:

    Quasiparticle dynamics in relativistic plasmas associated with hot, weakly-coupled gauge theories (such as QCD at asymptotically high temperature $T$) can be described by an effective Kinetic Theory, valid on sufficiently large time and distance scales. The appropriate Boltzmann equations depend on effective scattering rates for various types of collisions that can occur in the plasma. The resulting effective Kinetic Theory may be used to evaluate observables which are dominantly sensitive to the dynamics of typical ultrarelativistic excitations. This includes transport coefficients (viscosities and diffusion constants) and energy loss rates. We show how to formulate effective Boltzmann equations which will be adequate to compute such observables to leading order in the running coupling $g(T)$ of high-temperature gauge theories [and all orders in $1/\log g(T)^{-1}$]. As previously proposed in the literature, a leading-order treatment requires including both $2 2$ particle scattering processes as well as effective ``$1 2$'' collinear splitting processes in the Boltzmann equations. The latter account for nearly collinear bremsstrahlung and pair production/annihilation processes which take place in the presence of fluctuations in the background gauge field. Our effective Kinetic Theory is applicable not only to near-equilibrium systems (relevant for the calculation of transport coefficients), but also to highly non-equilibrium situations, provided some simple conditions on distribution functions are satisfied.

Mikhail A. Stephanov - One of the best experts on this subject based on the ideXlab platform.

  • Relativistic Chiral Kinetic Theory
    Nuclear Physics A, 2016
    Co-Authors: Mikhail A. Stephanov
    Abstract:

    Abstract This very brief review of the recent progress in chiral Kinetic Theory is based on the results of Refs. [J.-Y. Chen, D. T. Son, M. A. Stephanov, H.-U. Yee, Y. Yin, Lorentz Invariance in Chiral Kinetic Theory, Phys. Rev. Lett. 113 (18) (2014) 182302. doi: 10.1103/PhysRevLett.113.182302 ; J.-Y. Chen, D. T. Son, M. A. Stephanov, Collisions in Chiral Kinetic Theory, Phys. Rev. Lett. 115 (2) (2015) 021601. doi: 10.1103/PhysRevLett.115.021601 ; M. A. Stephanov, H.-U. Yee, The no-drag frame for anomalous chiral fluid, Phys. Rev. Lett. 116 (12) (2016) 122302. doi: 10.1103/PhysRevLett.116.122302 ].

  • collisions in chiral Kinetic Theory
    Physical Review Letters, 2015
    Co-Authors: Jingyuan Chen, D T Son, Mikhail A. Stephanov
    Abstract:

    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 angular momentum during collisions. We also find a conserved symmetric stress-energy tensor as well as the H function obeying Boltzmann’s H theorem. We demonstrate their use by finding a general equilibrium solution and the values of the anomalous transport coefficients characterizing the chiral vortical effect.

  • lorentz invariance in chiral Kinetic Theory
    Physical Review Letters, 2014
    Co-Authors: Jingyuan Chen, Mikhail A. Stephanov, D T Son, Houng Yee, Yi Yin
    Abstract:

    A Kinetic Theory, with explicit Lorentz invariance, is derived for chiral fermions in an external electromagnetic field. This Theory provides the correct form for the chiral vortical effect --- the appearance of a current in a system undergoing rotation.