On certain incomplete statistics |
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Authors: | JAS Lima JR Bezerra R Silva |
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Institution: | a Departamento de Física Teorica e Experiment, Universidade Federal do Rio Grande do Norte, 59072-970, Natal-RN, Brazil b Universidade do Estado do Rio Grande do Norte, 59610-210, Mossoró-RN, Brazil |
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Abstract: | The foundations of the incomplete statistics recently proposed by Wang is rediscussed in the context of the canonical statistical ensemble. It is found that the incomplete normalization condition, ∑pqi=1 (i=1,…,w), where pi is the probability of a given microstate, is not compatible with the entropic non-extensive formula proposed by Tsallis. It is proved that the entropic function proposed by Wang must be written as Sq=?kB∑pi2q?1lnqpi, whereas the form proposed by Tsallis namely, Sq=?kB∑piqlnqpi, is directly associated with the standard normalization condition (∑ipi=1). |
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