On the microscopic and Boltzmann equation approaches to nonequilibrium superconductors

O. Entin-Wohlman; R. Orbach

doi:10.1016/0003-4916(79)90297-5

On the microscopic and Boltzmann equation approaches to nonequilibrium superconductors

O. Entin-Wohlman^*, R. Orbach

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract

It is shown that the microscopic (Green's functions) approach and the Boltzmann equation approach to the description of nonequilibrium phenomena in superconductors yield the same basic equations. The physical origin of terms exhibited by the microscopic theory is discussed. The normal-charge and supercharge densities and currents are proven to obey separate continuity equations for frequencies ωτ_Q^* ≠ 1, where τ_Q^* is the branch imbalance charge relaxation time.

Original language	English
Pages (from-to)	64-73
Number of pages	10
Journal	Annals of Physics
Volume	122
Issue number	1
DOIs	https://doi.org/10.1016/0003-4916(79)90297-5
State	Published - 15 Sep 1979
Externally published	Yes

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title = "On the microscopic and Boltzmann equation approaches to nonequilibrium superconductors",

abstract = "It is shown that the microscopic (Green's functions) approach and the Boltzmann equation approach to the description of nonequilibrium phenomena in superconductors yield the same basic equations. The physical origin of terms exhibited by the microscopic theory is discussed. The normal-charge and supercharge densities and currents are proven to obey separate continuity equations for frequencies ωτQ* ≠ 1, where τQ* is the branch imbalance charge relaxation time.",

author = "O. Entin-Wohlman and R. Orbach",

note = "Funding Information: We wish to acknowledge several very helpful conversations with Professor J. Clarke, and thank Professor C. J. Pethick for sending us a preprint of his work with H. Smith (Ref. [7]), and for a helpful conversation. This research was supported in part by the U. S. Office of Naval Research, Contract No. NOOO14-7X-0245 and by the U. S. National Science Foundation.",

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AU - Orbach, R.

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PY - 1979/9/15

Y1 - 1979/9/15

N2 - It is shown that the microscopic (Green's functions) approach and the Boltzmann equation approach to the description of nonequilibrium phenomena in superconductors yield the same basic equations. The physical origin of terms exhibited by the microscopic theory is discussed. The normal-charge and supercharge densities and currents are proven to obey separate continuity equations for frequencies ωτQ* ≠ 1, where τQ* is the branch imbalance charge relaxation time.

AB - It is shown that the microscopic (Green's functions) approach and the Boltzmann equation approach to the description of nonequilibrium phenomena in superconductors yield the same basic equations. The physical origin of terms exhibited by the microscopic theory is discussed. The normal-charge and supercharge densities and currents are proven to obey separate continuity equations for frequencies ωτQ* ≠ 1, where τQ* is the branch imbalance charge relaxation time.

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On the microscopic and Boltzmann equation approaches to nonequilibrium superconductors

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