共查询到20条相似文献,搜索用时 31 毫秒
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Czachor M 《Physical review letters》2005,94(7):078901; author reply 078902
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Ciamarra MP 《Physical review letters》2007,99(8):089401; author reply 089402
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信息熵、玻尔兹曼熵以及克劳修斯熵之间的关系--兼论玻尔兹曼熵和克劳修斯熵是否等价 总被引:6,自引:0,他引:6
论述了信息熵、玻尔兹曼熵以及克劳修斯熵之间的关系;由不涉及具体系统的方法从玻尔兹曼关系、信息熵推导出了克劳修斯熵的表达式;指出玻尔兹曼熵与克劳修斯熵不是等价关系,而是玻尔兹曼熵包含克劳修斯熵,信息熵又包含玻尔兹曼熵。 相似文献
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Matthew J. Donald 《Communications in Mathematical Physics》1986,105(1):13-34
ForA any subset of () (the bounded operators on a Hilbert space) containing the unit, and and restrictions of states on () toA, ent
A
(|)—the entropy of relative to given the information inA—is defined and given an axiomatic characterisation. It is compared with ent
A
A
(|)—the relative entropy introduced by Umegaki and generalised by various authors—which is defined only forA an algebra. It is proved that ent and ent
S
agree on pairs of normal states on an injective von Neumann algebra. It is also proved that ent always has all the most important properties known for ent
S
: monotonicity, concavity,w* upper semicontinuity, etc. 相似文献
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In a previous work by one of us (R. Urigu) concerning open quantum systems it was remarked that in processes of the type
, when evaluating the information entropy of the environment as the Shannon entropy of the outcome probabilities
in the channels
, the total information entropy may decrease. We remark here that this decrease is easily excluded by requiring a condition
of quantum modelizability of the environment even with respect to Shannon entropy (“cybernetic interpretability” of the environment).
Further conditions on the quantum model of the environment are defined (“maximal observability” and “Boolean interpretability”),
which are proved to be equivalent, and it turns out that, once satisfied in one model, they also are in any model with pure
initial state; furthermore, these conditions turn out to be equivalent to the condition that the process consists of pure
operations of the first kind. The relevance to the concept of macroscopicity and to the “von Neumann chain” is discussed. 相似文献
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The paper suggests the concepts of an upper entropy and a lower entropy. We propose a new axiomatic definition, namely, upper entropy axioms, inspired by axioms of metric spaces, and also formulate lower entropy axioms. We also develop weak upper entropy axioms and weak lower entropy axioms. Their conditions are weaker than those of Shannon–Khinchin axioms and Tsallis axioms, while these conditions are stronger than those of the axiomatics based on the first three Shannon–Khinchin axioms. The subadditivity and strong subadditivity of entropy are obtained in the new axiomatics. Tsallis statistics is a special case of satisfying our axioms. Moreover, different forms of information measures, such as Shannon entropy, Daroczy entropy, Tsallis entropy and other entropies, can be unified under the same axiomatics. 相似文献
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The asymptotic value of the melting entropy, i.e. ΔSf = R ln 2 for vanishing relative change of volume on melting, can be derived from the vibrational entropy due to vibrating dislocations, which are introduced into a material on melting. 相似文献
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M. Lasocka 《Physics letters. A》1975,51(3):137-138
The necessity of general interpretation of the phenomenon of melting, including subtances with dp/dT < 0, is stressed. The latter substances do not satisfy the regularity that for ΔV/Vs = 0 the asymptotic value of ΔS/R amounts to ln2. 相似文献
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I study the hypothetical thermodynamic system which saturates the so-called Hubble entropy bound and show that it is invariant under the S- and T-dualities of string theory as well as the interchanges of the eleventh dimension of M-theory. I also discuss how unique the entropy bound is under the dualities and some related issues. 相似文献
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The analysis of experimental data shows that the function δS/R = f(δV/VS), where δS/R is the entropy of melting and δV/VS the relative change of volume at melting, is the same for argon and sodium. The melting entropy of these substances tends to Rln2, when δV/VS vanishes. 相似文献
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《中国科学:物理学 力学 天文学(英文版)》2017,(2)
<正>The von Neumann entropy captures many operational quantities in the quantum information theory such as quantum capacity of the communication channel.Von Neumann entropy is continuous and is represented by Fannes inequality,which was originally given in ref.[1].Quantum correlations such as entanglement and quantum discord etc.,are important resources in quantum information processing.In the last year enormous progress on the generation,concentration,detection and quantification of entanglement has been achieved 相似文献
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The correction, which is due to interactions between particles, to the non-equilibrium entropy of an ideal Bose-gas is calculated. 相似文献