Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1860563 | Physics Letters A | 2009 | 5 Pages |
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 derivative. 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 lower powers are found. A set of equations for the generating functional is obtained to take into account constraints and symmetry of the statistical system.
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Physical Sciences and Engineering
Physics and Astronomy
Physics and Astronomy (General)
Authors
Alexander Olemskoi, Irina Shuda,