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On Quantum Theory of Transport Phenomena: Steady Diffusion
Open accessAbstract
A general formulation is given to the quantum theory of steady diffusion. In seeking for a steady solution of Liouville's equation, the boundary condition is taken into account by requiring that the solution should lead to a given distribution of average density. The distribution is to be determined by macroscopic law of diffusion and macroscopic boundary condition. The basic equation thus obtained has a form similar to Bloch's kinetic equation and reduces to the latter in the limit of a system of weakly interacting particles. This is shown by generalizing a demping theoretical expansion of Kohn and Luttinger. It is found that the Einstein relation is valid only for the symmetric part of diffusion- and electric conductivity tensors, in agreement with Kasuya's suggestion.
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Cited by
Path integral approach to quantum Brownian motion
Caldeira, A. O., & Leggett, A. J. (1983) · Physica A: Statistical Mechanics and its Applications · doi:10.1016/0378-4371(83)90013-4 · Cited by 2,772
The quantum-jump approach to dissipative dynamics in quantum optics
Plenio, M. B., & Knight, P. L. (1998) · Reviews of Modern Physics · doi:10.1103/revmodphys.70.101 · Cited by 1,515
Nonequilibrium dynamical mean-field theory and its applications
Aoki, H., Tsuji, N., Eckstein, M., Kollar, M., Oka, T., & Werner, P. (2014) · Reviews of Modern Physics · doi:10.1103/revmodphys.86.779 · Cited by 773
Concepts and Methods in the Theory of Open Quantum Systems
Breuer, H.-P., & Petruccione, F. (2003) · Lecture Notes in Physics · doi:10.1007/3-540-44874-8_4 · Cited by 746
Ishizaki, A., & Fleming, G. R. (2009) · The Journal of Chemical Physics · doi:10.1063/1.3155372 · Cited by 734
Metadata
- Authors
- Nakajima, S.
- Venue
- Progress of Theoretical Physics
- Publisher
- Oxford University Press (OUP)
- Published
- 1958-12
- Volume
- 20
- Issue
- 6
- Pages
- 948-959
- ISSN
- 0033-068X (ISSN-L)
- OpenAlex
- W2130860507
- Cited by
- 1,464
- References
- 0
- FWCI
- 0.92
- Type
- journal article
- Language
- en
- Open access
- bronze
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