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题名: A quantum solution to Gibbs paradox with few particles
作者: Dong, H ;  Cai, CY ;  Sun, CP
刊名: SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
出版日期: 2012
卷号: 55, 期号:10, 页码:1727-1733
关键词: MAXWELLS DEMON
学科分类: Physics
通讯作者: Sun, CP (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
部门归属: [Cai ChengYun; Sun ChangPu] Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China; [Dong Hui] Univ Calif Berkeley, Dept Chem, Berkeley, CA 94720 USA
英文摘要: We 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.
资助者: National Natural Science Foundation of China [11121403, 10935010, 11074261]
收录类别: SCI
原文出处: 查看原文
语种: 英语
WOS记录号: WOS:000308953800001
Citation statistics: 
内容类型: 期刊论文
URI标识: http://ir.itp.ac.cn/handle/311006/15024
Appears in Collections:理论物理所2012年知识产出_期刊论文

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Recommended Citation:
Dong, H,Cai, CY,Sun, CP. A quantum solution to Gibbs paradox with few particles[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2012,55(10):1727-1733.
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