Statistical theory of self-similarly distributed fields
Electronic Archive of Sumy State University
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Title |
Statistical theory of self-similarly distributed fields
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Creator |
Oliemskoi, Oleksandr Ivanovych
Shuda, Iryna Oleksandrivna Олємской, Олександр Іванович Олемской, Александр Иванович Шуда, Ірина Олександрівна Шуда, Ирина Александровна |
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Subject |
filed theory
generating functional jackson derivate deformation |
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Description |
A field theory is built for self-similar statistical systems with both generating functional being the Mellin transform of the Tsallis exponential and generator of the scale transformation that is reduced to the Jackson derivate. With such a choice, the role of a fluctuating order parameter is shown to play deformed logarithm of the amplitude of a hydrodynamic mode. Within the harmonic approach, deformed partition function and moments of the order parameter of lowers powers are found. A set of equations for the generating functional is obtained to take into account constrains and symmetry of the statistical system.
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Publisher |
Physics Letters A
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Date |
2011-01-27T13:11:06Z
2011-01-27T13:11:06Z 2009 |
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Type |
Article
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Identifier |
Olemskoy, A.I. Statistical theory of self-similarly distributed fields [Текст] / A.I. Olemskoy, I.A. Shuda // Physics Letters A. — 2009. — Vol. 373. — issue 44. — p. 4012-4016
0375-9601 http://essuir.sumdu.edu.ua/handle/123456789/2729 |
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Language |
en
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