Quantum corrections to the distribution function of particles over momentum in dense media

A. N. Starostin; A. B. Mironov; N. L. Aleksandrov; N. J. Fisch; R. M. Kulsrud

doi:10.1016/S0378-4371(01)00677-X

Quantum corrections to the distribution function of particles over momentum in dense media

A. N. Starostin, A. B. Mironov, N. L. Aleksandrov, N. J. Fisch, R. M. Kulsrud

Research output: Contribution to journal › Conference article › peer-review

27 Scopus citations

Abstract

A simple derivation of the Galitskii-Yakimets distribution function over momentum is presented. For dense plasmas it contains the law ∼ p^-8 as a quantum correction to the classical Maxwellian distribution function at large momenta. The integral equation for the width of the spectral distribution of kinetic Green functions is analyzed. The asymptotic behavior of the quantum corrections to the distribution function of particles is expressed via the Fourier transform of the wave function in the external potential. It is shown that the asymptotic power law for the distribution function over momentum is also correct for a non-equilibrium at the external electrical and laser fields.

Original language	English (US)
Pages (from-to)	287-296
Number of pages	10
Journal	Physica A: Statistical Mechanics and its Applications
Volume	305
Issue number	1-2
DOIs	https://doi.org/10.1016/S0378-4371(01)00677-X
State	Published - Mar 1 2002
Event	Non Extensive Thermodynamics and Physical Applications - Villasimius, Italy Duration: May 23 2001 → May 30 2001

All Science Journal Classification (ASJC) codes

Statistics and Probability
Condensed Matter Physics

Keywords

Density matrix
Distribution function
Green function
Lorentz gas
Self-energy

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10.1016/S0378-4371(01)00677-X

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title = "Quantum corrections to the distribution function of particles over momentum in dense media",

abstract = "A simple derivation of the Galitskii-Yakimets distribution function over momentum is presented. For dense plasmas it contains the law ∼ p-8 as a quantum correction to the classical Maxwellian distribution function at large momenta. The integral equation for the width of the spectral distribution of kinetic Green functions is analyzed. The asymptotic behavior of the quantum corrections to the distribution function of particles is expressed via the Fourier transform of the wave function in the external potential. It is shown that the asymptotic power law for the distribution function over momentum is also correct for a non-equilibrium at the external electrical and laser fields.",

keywords = "Density matrix, Distribution function, Green function, Lorentz gas, Self-energy",

author = "Starostin, {A. N.} and Mironov, {A. B.} and Aleksandrov, {N. L.} and Fisch, {N. J.} and Kulsrud, {R. M.}",

note = "Funding Information: This work was partially supported by the Russian Foundation for Basic Research (RFBR) (99-0218176, 00-15-96539). ; Non Extensive Thermodynamics and Physical Applications ; Conference date: 23-05-2001 Through 30-05-2001",

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T1 - Quantum corrections to the distribution function of particles over momentum in dense media

AU - Starostin, A. N.

AU - Mironov, A. B.

AU - Aleksandrov, N. L.

AU - Fisch, N. J.

AU - Kulsrud, R. M.

N1 - Funding Information: This work was partially supported by the Russian Foundation for Basic Research (RFBR) (99-0218176, 00-15-96539).

PY - 2002/3/1

Y1 - 2002/3/1

N2 - A simple derivation of the Galitskii-Yakimets distribution function over momentum is presented. For dense plasmas it contains the law ∼ p-8 as a quantum correction to the classical Maxwellian distribution function at large momenta. The integral equation for the width of the spectral distribution of kinetic Green functions is analyzed. The asymptotic behavior of the quantum corrections to the distribution function of particles is expressed via the Fourier transform of the wave function in the external potential. It is shown that the asymptotic power law for the distribution function over momentum is also correct for a non-equilibrium at the external electrical and laser fields.

AB - A simple derivation of the Galitskii-Yakimets distribution function over momentum is presented. For dense plasmas it contains the law ∼ p-8 as a quantum correction to the classical Maxwellian distribution function at large momenta. The integral equation for the width of the spectral distribution of kinetic Green functions is analyzed. The asymptotic behavior of the quantum corrections to the distribution function of particles is expressed via the Fourier transform of the wave function in the external potential. It is shown that the asymptotic power law for the distribution function over momentum is also correct for a non-equilibrium at the external electrical and laser fields.

KW - Density matrix

KW - Distribution function

KW - Green function

KW - Lorentz gas

KW - Self-energy

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U2 - 10.1016/S0378-4371(01)00677-X

DO - 10.1016/S0378-4371(01)00677-X

M3 - Conference article

AN - SCOPUS:0036494839

SN - 0378-4371

VL - 305

SP - 287

EP - 296

JO - Physica A: Statistical Mechanics and its Applications

JF - Physica A: Statistical Mechanics and its Applications

IS - 1-2

T2 - Non Extensive Thermodynamics and Physical Applications

Y2 - 23 May 2001 through 30 May 2001

ER -

Quantum corrections to the distribution function of particles over momentum in dense media

Abstract

All Science Journal Classification (ASJC) codes

Keywords

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