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Dong, H; Cai, CY; Sun, CP; Sun, CP (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
A quantum solution to Gibbs paradox with few particles
Source PublicationSCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
Language英语
KeywordMaxwells Demon
AbstractWe present a fully quantum solution to the Gibbs paradox (GP) with an illustration based on a gedanken experiment with two particles trapped in an infinite potential well. The well is divided into two cells by a solid wall, which could be removed for mixing the particles. For the initial thermal state with correct two-particle wavefunction according to their quantum statistics, the exact calculations show the entropy changes are the same for boson, fermion and non-identical particles. With the observation that the initial unmixed state of identical particles in the conventional presentations actually is not of a thermal equilibrium, our analysis reveals the quantum origin of the paradox, and confirms Jaynes' observation that entropy increase in Gibbs mixing is only due to the including more observables. To further show up the subtle role of the quantum mechanism in the GP, we study the different finite size effect on the entropy change and show the work performed in the mixing process is different for various types of particles.
2012
ISSN1674-7348
Volume55Issue:10Pages:1727-1733
Subject AreaPhysics
Indexed BySCI
Funding OrganizationNational Natural Science Foundation of China [11121403, 10935010, 11074261] ; National Natural Science Foundation of China [11121403, 10935010, 11074261] ; National Natural Science Foundation of China [11121403, 10935010, 11074261] ; National Natural Science Foundation of China [11121403, 10935010, 11074261]
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Document Type期刊论文
Identifierhttp://ir.itp.ac.cn/handle/311006/15024
Collection理论物理所科研产出_SCI期刊论文
Corresponding AuthorSun, CP (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
Recommended Citation
GB/T 7714
Dong, H,Cai, CY,Sun, CP,et al. A quantum solution to Gibbs paradox with few particles[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2012,55(10):1727-1733.
APA Dong, H,Cai, CY,Sun, CP,&Sun, CP .(2012).A quantum solution to Gibbs paradox with few particles.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,55(10),1727-1733.
MLA Dong, H,et al."A quantum solution to Gibbs paradox with few particles".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 55.10(2012):1727-1733.
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