Microscopic description of quantum Lorentz gas and extension of the Boltzmann equation to entire space-time scale
| dc.contributor.utaustinauthor | Petrosky, T. | en_US |
| dc.creator | Hashimoto, K. | en_US |
| dc.creator | Kanki, K. | en_US |
| dc.creator | Tanaka, S. | en_US |
| dc.creator | Petrosky, T. | en_US |
| dc.date.accessioned | 2017-07-18T20:11:21Z | |
| dc.date.available | 2017-07-18T20:11:21Z | |
| dc.date.issued | 2016-02 | en_US |
| dc.description.abstract | Irreversible processes of weakly coupled one-dimensional quantum perfect Lorentz gas are studied on the basis of the fundamental laws of physics in terms of the complex spectral analysis associated with the resonance state of the Liouville-von Neumann operator. Without any phenomenological operations, such as a coarse-graining of space-time, or a truncation of the higher order correlation, we obtained irreversible processes in a purely dynamical basis in all space and time scale including the microscopic atomic interaction range that is much smaller than the mean-free length. Based on this solution, a limitation of the usual phenomenological Boltzmann equation, as well as an extension of the Boltzmann equation to entire space-time scale, is discussed. | en_US |
| dc.description.department | Physics | en_US |
| dc.description.sponsorship | JSPS KAKENHI 24540411 | en_US |
| dc.identifier | doi:10.15781/T2SF2MT14 | |
| dc.identifier.citation | Hashimoto, K., K. Kanki, S. Tanaka, and T. Petrosky. "Microscopic description of quantum Lorentz gas and extension of the Boltzmann equation to entire space-time scale." Physical Review E 93, no. 2 (2016): 022132. | en_US |
| dc.identifier.doi | 10.1103/PhysRevE.93.022132 | en_US |
| dc.identifier.issn | 2470-0045 | en_US |
| dc.identifier.uri | http://hdl.handle.net/2152/61172 | |
| dc.language.iso | English | en_US |
| dc.relation.ispartof | UT Faculty/Researcher Works | en_US |
| dc.relation.ispartofserial | Physical Review E | en_US |
| dc.rights | Administrative deposit of works to Texas ScholarWorks: This works author(s) is or was a University faculty member, student or staff member; this article is already available through open access or the publisher allows a PDF version of the article to be freely posted online. The library makes the deposit as a matter of fair use (for scholarly, educational, and research purposes), and to preserve the work and further secure public access to the works of the University. | en_US |
| dc.rights.restriction | open | en_US |
| dc.subject | moderately dense gases | en_US |
| dc.subject | green-kubo formalism | en_US |
| dc.subject | collective modes | en_US |
| dc.subject | transport-theory | en_US |
| dc.subject | nuclear reactions | en_US |
| dc.subject | unified theory | en_US |
| dc.title | Microscopic description of quantum Lorentz gas and extension of the Boltzmann equation to entire space-time scale | en_US |
| dc.type | Article | en_US |