Statistical mechanics in a discrete space-time. Thermodynamics and time-irreversibility
The introduction of a discrete space-time represents an attempt to describe the physics at the Planck’s scale. We show that this concept can be also very useful in describing thermodynamics in a pre-relativistic world. From this concept a new approach of statistical mechanics based on a dynamic...
Збережено в:
Дата: | 2003 |
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Автор: | |
Формат: | Стаття |
Мова: | English |
Опубліковано: |
Інститут фізики конденсованих систем НАН України
2003
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Назва видання: | Condensed Matter Physics |
Онлайн доступ: | http://dspace.nbuv.gov.ua/handle/123456789/120756 |
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Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
Цитувати: | Statistical mechanics in a discrete space-time. Thermodynamics and time-irreversibility / J.P. Badiali // Condensed Matter Physics. — 2003. — Т. 6, № 3(35). — С. 375-386. — Бібліогр.: 19 назв. — англ. |
Репозиторії
Digital Library of Periodicals of National Academy of Sciences of UkraineРезюме: | The introduction of a discrete space-time represents an attempt to describe
the physics at the Planck’s scale. We show that this concept can be also
very useful in describing thermodynamics in a pre-relativistic world. From
this concept a new approach of statistical mechanics based on a dynamic
viewpoint and an entropy representation is presented. The entropy is
connected with the counting of the paths in space-time. It contains a time
interval that represents the time that we have to wait in order to relax the
quantum fluctuations and to reach the thermal regime. It is shown that this
time is β~ . The mathematical expressions we derive for thermal quantities
like the entropy and the free energy are identical to those obtained by the
traditional path-integral formalism starting from the canonical form of the
thermal density matrix. However, the introduction of a quantized spacetime
shows that thermodynamics is consistent with an equation of motion
that is time-irreversible at a microscopic level. As a consequence, the problem
of irreversibility is revisited and the derivation of a H-theorem becomes
possible in the future |
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