Statistical theory of self-similarly distributed fields
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2009
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Physics Letters A
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Abstract
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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Keywords
filed theory, generating functional, jackson derivate, deformation
Citation
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