Memory effects and virial corrections in nonequilibrium dense systems

Morawetz, Klaus; Roepke, G.

doi:10.1103/physreve.51.4246

Cited by 44 publications

(50 citation statements)

References 76 publications

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“…The GKB ansatz is exact in the Hartree-Fock approximation for the self-energies and removes some defects of the conventional KB ansatz [21,31]. It should be particularly emphasized that the GKB ansatz is consistent with the exact relation (4.12) and, consequently, preserves the correct spectral properties of microscopic dynamics.…”

Section: The Problem Of Ansatz For Correlated Initial Statesmentioning

confidence: 99%

The “Mixed” Green's Function Approach to Quantum Kinetics With Initial Correlations

Morozov

Röpke

2000

Progress in Nonequilibrium Green's Functions

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A method for deriving quantum kinetic equations with initial correlations is developed on the basis of the nonequilibrium Green's function formalism. The method is applicable to a wide range of correlated initial states described by nonequilibrium statistical thermodynamics. Initial correlations and the real-time evolution are treated by a unified technique employing manycomponent "mixed" Green's functions. The Dyson equation for the mixed Green's function leads to a set of equations for real-time Green's functions and new (cross) components linking initial correlations with dynamical processes. These equations are used to formulate a generalized Kadanoff-Baym ansatz for correlated initial states. A non-Markovian short-time kinetic equation is derived within the T -matrix approximation for the self-energies. The properties of the memory kernels in this equation are considered in detail in Born approximation for the T -matrices. The kinetic equation is demonstrated to conserve the total energy of the system. An explicit expression for the time-dependent correlation energy is obtained.

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Section: The Problem Of Ansatz For Correlated Initial Statesmentioning

confidence: 99%

The “Mixed” Green's Function Approach to Quantum Kinetics With Initial Correlations

Morozov

Röpke

2000

Progress in Nonequilibrium Green's Functions

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“…non-planar diagrams in SU(n) coupling; b) the radiated quantum carries finite momentum and energy (which vanish in the classical limit), such that additional recoil corrections and phase-space factors ∼ e −ω/T appear; the latter is important, since it cures the classical ultra violet catastrophe, where the intensity spectrum is white, leading to a divergence of the radiated energy in the classical case; c) the occupations are no longer of Boltzmann type with n ≪ 1, so that Pauli suppression and Bose-Einstein enhancement effects are significant; d) the duration time of binary collisions ∼ 1/ǫ F mediated by interaction loop insertions (B.7) in the correlation diagrams, are no longer negligible compare to 1/Γ as in the classical case, so that non-markovian memory effects become important [46,47].…”

Section: Qualitative Expectationsmentioning

confidence: 99%

Classical and Quantum Many-Body Description of Bremsstrahlung in Dense Matter

Knoll¹,

Voskresensky²

1996

Annals of Physics

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Some considerations about the importance of coherence effects for bremsstrahlung processes in non-equilibrium dense matter (Landau -Pomeranchuk -Migdal -effect) are presented. They are of particular relevance for the application to photonand di-lepton production from high energy nuclear collisions, to gluon radiation in QCD transport, or parton kinetics and to neutrino and axion radiation from supernova explosion and from hot neutron stars. The soft behavior of the bremsstrahlung from a source described by classical transport models is discussed and pocket correction formulas for the in-matter radiation cross sections are suggested in terms of standard transport coefficients. The radiation rates are also discussed within a non-equilibrium quantum field theory (Schwinger -Kadanoff -Baym -Keldysh) formulation. A classification of diagrams and corresponding resummation in physically meaningful terms is proposed, which considers the finite damping width of all source particles in matter. This way each diagram in this expansion is already free from the infra-red divergences. Both, the correct quasi-particle and quasi-classical limits are recovered from this subset of graphs. Explicit results are given for dense matter in thermal equilibrium. The diagrammatic description may suggest a formulation of a transport theory that includes the propagation of off-shell particles in non-equilibrium dense matter.

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“…The ladder T -matrix should serve as an ingredient for more advanced formulations of kinetic equations including strong correlations [18].…”

Section: Resultsmentioning

confidence: 99%

“…It contains a partial summation of the interaction. The resulting Bethe-Salpeter equation for the T -matrix within the ladder approximation reads [15,16,18]…”

Section: Green Function Approach To In-medium Scattering and Thermentioning

confidence: 99%

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Medium modification of two-particle scattering in nonideal Bose systems

1997

Self Cite

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Medium modification of scattering properties in interacting Bose systems are considered by solving the Bethe-Salpeter equation. An equation of state for the normal phase (generalized Beth-Uhlenbeck formula) is given using the in-medium phase shifts to include two-particle correlations. Conclusions are drawn for systems of bosonic atoms with repulsive interaction such as sodium 23 Na and rubidium 87 Rb. It is shown that the in-medium scattering length and the absolute value of the in-medium scattering phase shift for low scattering energies increase with density.

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Memory effects and virial corrections in nonequilibrium dense systems

Cited by 44 publications

References 76 publications

The “Mixed” Green's Function Approach to Quantum Kinetics With Initial Correlations

The “Mixed” Green's Function Approach to Quantum Kinetics With Initial Correlations

Classical and Quantum Many-Body Description of Bremsstrahlung in Dense Matter

Medium modification of two-particle scattering in nonideal Bose systems

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