|
| related topics |
| {temperature, thermal, energy} |
| {information, entropy, channel} |
| {time, decoherence, evolution} |
| {classical, space, random} |
| {operator, operators, space} |
| {theory, mechanics, state} |
| {state, states, entangled} |
| {equation, function, exp} |
| {time, systems, information} |
| {energy, gaussian, time} |
| {field, particle, equation} |
| {phase, path, phys} |
| {particle, mechanics, theory} |
| {energy, state, states} |
| {entanglement, phys, rev} |
| {measurement, state, measurements} |
|
Quantum Approach to a Derivation of the Second Law of Thermodynamics
Jochen Gemmer, Alexander Otte, Guenter Mahler
abstract: We re-interprete the microcanonical conditions in the quantum domain as
constraints for the interaction of the "gas-subsystem" under consideration and
its environment ("container"). The time-average of a purity-measure is found to
equal the average over the respective path in Hilbert-space. We then show that
for typical (degenerate or non-degenerate) thermodynamical systems almost all
states within the allowed region of Hilbert-space have a local von
Neumann-entropy S close to the maximum and a purity P close to its minimum,
respectively. Typically thermodynamical systems should therefore obey the
second law.
- oai_identifier:
- oai:arXiv.org:quant-ph/0101140
- categories:
- quant-ph
- comments:
- 4 pages. Accepted for publication in Phys. Rev. Lett
- doi:
- 10.1103/PhysRevLett.86.1927
- arxiv_id:
- quant-ph/0101140
- created:
- 2001-01-30
Full article ▸
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