The Gibbs paradox
The Gibbs Paradox is essentially a set of open questions as to how sameness of gases or fluids (or masses, more generally) are to be treated in thermodynamics and statistical mechanics. They have a variety of answers, some restricted to quantum theory (there is no classical solution), some to classi...
| প্রধান লেখক: | |
|---|---|
| বিন্যাস: | Journal article |
| ভাষা: | English |
| প্রকাশিত: |
MDPI
2018
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| _version_ | 1826282171198865408 |
|---|---|
| author | Saunders, S |
| author_facet | Saunders, S |
| author_sort | Saunders, S |
| collection | OXFORD |
| description | The Gibbs Paradox is essentially a set of open questions as to how sameness of gases or fluids (or masses, more generally) are to be treated in thermodynamics and statistical mechanics. They have a variety of answers, some restricted to quantum theory (there is no classical solution), some to classical theory (the quantum case is different). The solution offered here applies to both in equal measure, and is based on the concept of particle indistinguishability (in the classical case, Gibbs’ notion of ‘generic phase’). Correctly understood, it is the elimination of sequence position as a labelling device, where sequences enter at the level of the tensor (or Cartesian) product of one-particle state spaces. In both cases it amounts to passing to the quotient space under permutations. ‘Distinguishability’, in the sense in which it is usually used in classical statistical mechanics, is a mathematically convenient, but physically muddled, fiction. |
| first_indexed | 2024-03-07T00:39:48Z |
| format | Journal article |
| id | oxford-uuid:82a6f3e5-4769-4b78-ad4d-ac962ae9c46e |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-03-07T00:39:48Z |
| publishDate | 2018 |
| publisher | MDPI |
| record_format | dspace |
| spelling | oxford-uuid:82a6f3e5-4769-4b78-ad4d-ac962ae9c46e2022-03-26T21:38:57ZThe Gibbs paradoxJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:82a6f3e5-4769-4b78-ad4d-ac962ae9c46eEnglishSymplectic Elements at OxfordMDPI2018Saunders, SThe Gibbs Paradox is essentially a set of open questions as to how sameness of gases or fluids (or masses, more generally) are to be treated in thermodynamics and statistical mechanics. They have a variety of answers, some restricted to quantum theory (there is no classical solution), some to classical theory (the quantum case is different). The solution offered here applies to both in equal measure, and is based on the concept of particle indistinguishability (in the classical case, Gibbs’ notion of ‘generic phase’). Correctly understood, it is the elimination of sequence position as a labelling device, where sequences enter at the level of the tensor (or Cartesian) product of one-particle state spaces. In both cases it amounts to passing to the quotient space under permutations. ‘Distinguishability’, in the sense in which it is usually used in classical statistical mechanics, is a mathematically convenient, but physically muddled, fiction. |
| spellingShingle | Saunders, S The Gibbs paradox |
| title | The Gibbs paradox |
| title_full | The Gibbs paradox |
| title_fullStr | The Gibbs paradox |
| title_full_unstemmed | The Gibbs paradox |
| title_short | The Gibbs paradox |
| title_sort | gibbs paradox |
| work_keys_str_mv | AT saunderss thegibbsparadox AT saunderss gibbsparadox |