|
| related topics |
| {classical, space, random} |
| {energy, gaussian, time} |
| {information, entropy, channel} |
| {temperature, thermal, energy} |
| {time, wave, function} |
| {time, systems, information} |
| {equation, function, exp} |
| {light, field, probe} |
| {force, casimir, field} |
| {time, decoherence, evolution} |
| {cos, sin, state} |
|
The transition from a classical to a quantum world as a passage from
extensive to non-extensive thermodynamics
Luigi Palatella, Paolo Grigolini
abstract: We study the thermodynamical properties of the quantum kicked rotator,
coarsened by an external fluctuation with a weak intensity D, by means of the
Tsallis entropy with a changing entropic index q. The genuine entropic index,
corresponding to given values of D and $\hbar$ is that making the Tsallis
entropy increase linearly in time, and it is proved to become q <1 for suitably
large values of $\hbar $: This indicates a subdiffusional regime which, in
turn, signals the occurrence of quantum localization. Thus the process of
Anderson localization is shown to be compatible with a thermodynamical
representation provided that a non-extensive form of entropy is used.
- oai_identifier:
- oai:arXiv.org:quant-ph/9810083
- categories:
- quant-ph chao-dyn nlin.CD
- comments:
- RevTex, 4 pages, 4 eps figures
- arxiv_id:
- quant-ph/9810083
- created:
- 1998-10-27
Full article ▸
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