Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory
Statistical mechanics is generalized on the basis of an additive information theory for incomplete probability distributions. The incomplete normalization is used to obtain generalized entropy . The concomitant incomplete statistical mechanics is applied to some physical systems in order to show the...
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| Format: | Article |
| Language: | English |
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MDPI AG
2003-06-01
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| Series: | Entropy |
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| Online Access: | http://www.mdpi.com/1099-4300/5/2/220/ |
| _version_ | 1811263140649762816 |
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| author | Qiuping A. Wang |
| author_facet | Qiuping A. Wang |
| author_sort | Qiuping A. Wang |
| collection | DOAJ |
| description | Statistical mechanics is generalized on the basis of an additive information theory for incomplete probability distributions. The incomplete normalization is used to obtain generalized entropy . The concomitant incomplete statistical mechanics is applied to some physical systems in order to show the effect of the incompleteness of information. It is shown that this extensive generalized statistics can be useful for the correlated electron systems in weak coupling regime. |
| first_indexed | 2024-04-12T19:39:29Z |
| format | Article |
| id | doaj.art-13e2aa78cc8447958962c55f890d02db |
| institution | Directory Open Access Journal |
| issn | 1099-4300 |
| language | English |
| last_indexed | 2024-04-12T19:39:29Z |
| publishDate | 2003-06-01 |
| publisher | MDPI AG |
| record_format | Article |
| series | Entropy |
| spelling | doaj.art-13e2aa78cc8447958962c55f890d02db2022-12-22T03:19:07ZengMDPI AGEntropy1099-43002003-06-015222023210.3390/e5020220Extensive Generalization of Statistical Mechanics Based on Incomplete Information TheoryQiuping A. WangStatistical mechanics is generalized on the basis of an additive information theory for incomplete probability distributions. The incomplete normalization is used to obtain generalized entropy . The concomitant incomplete statistical mechanics is applied to some physical systems in order to show the effect of the incompleteness of information. It is shown that this extensive generalized statistics can be useful for the correlated electron systems in weak coupling regime.http://www.mdpi.com/1099-4300/5/2/220/Statistical MechanicsGeneralized StatisticsIncomplete InformationThermodynamics |
| spellingShingle | Qiuping A. Wang Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory Entropy Statistical Mechanics Generalized Statistics Incomplete Information Thermodynamics |
| title | Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory |
| title_full | Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory |
| title_fullStr | Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory |
| title_full_unstemmed | Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory |
| title_short | Extensive Generalization of Statistical Mechanics Based on Incomplete Information Theory |
| title_sort | extensive generalization of statistical mechanics based on incomplete information theory |
| topic | Statistical Mechanics Generalized Statistics Incomplete Information Thermodynamics |
| url | http://www.mdpi.com/1099-4300/5/2/220/ |
| work_keys_str_mv | AT qiupingawang extensivegeneralizationofstatisticalmechanicsbasedonincompleteinformationtheory |