Attractor properties of physical branches of the solution to the renormalization group equation |
| |
Authors: | A É Filippov |
| |
Institution: | (1) Donetsk Physical and Technical Institute, National Academy of Sciences of Ukraine, Donetsk, Ukraine |
| |
Abstract: | We investigate the global phase-portrait structure of a local version of the exact renormalization group (RG) equation for
a fluctuating scalar field of the order parameter. All the physical branches of the RG equation solution for the fixed points
belong to the attractor subspace to which the local density of the Ginzburg-Landau-Wilson functional is attracted for largely
arbitrary initial configurations. The solution of the RG equation corresponding to the nontrivial fixed point determining
the critical behavior under the second-order phase transition is a fixed saddle point of this attractor subspace separating
the attraction domains of two stable solutions corresponding to the high- and low-temperature thermodynamic regimes.
Translated from Teoreticheskaya i Matematicheskaya Fizika, Vol. 117, No. 3, pp. 397–410, December, 1998. |
| |
Keywords: | |
本文献已被 SpringerLink 等数据库收录! |
|