A quantum solution to Gibbs paradox with few particles

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	A quantum solution to Gibbs paradox with few particles
	Sun, CP
刊名	SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY
	2012
卷号	55 期号:10 页码:1727-1733
关键词	MAXWELLS DEMON
ISSN号	1674-7348
通讯作者	Sun, CP (reprint author), Chinese Acad Sci, Inst Theoret Phys, Beijing 100190, Peoples R China.
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.
学科主题	Physics
收录类别	SCI
资助信息	National Natural Science Foundation of China [11121403, 10935010, 11074261]
原文出处	http://dx.doi.org/10.1007/s11433-012-4873-8
语种	英语
WOS记录号	WOS:000308953800001
公开日期	2014-04-25
内容类型	期刊论文
源URL	[http://ir.itp.ac.cn/handle/311006/15024]
专题	理论物理研究所_理论物理所1978-2010年知识产出
推荐引用方式 GB/T 7714	Sun, CP. A quantum solution to Gibbs paradox with few particles[J]. SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,2012,55(10):1727-1733.
APA	Sun, CP.(2012).A quantum solution to Gibbs paradox with few particles.SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY,55(10),1727-1733.
MLA	Sun, CP."A quantum solution to Gibbs paradox with few particles".SCIENCE CHINA-PHYSICS MECHANICS & ASTRONOMY 55.10(2012):1727-1733.