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Exponent wandering

In the following we outline a self-consistent Flory-type argument to enable the computation of S. This type of argument has also been used in contexts relating to the wandering exponent of polymers [31] and diffusion in turbulent velocity fields [32] and has provided results reasonably in accord with more rigorous calculations. [Pg.132]

The fact that the size exponent f (often called wandering exponent) is different from 1/2 has important implications in various applications, especially for flux lines in superconductors. For example, confinement of a flux line in presence of many other flux lines would lead to a steric repulsion [27] (similar to the confinement energy in Sec. 4.3.2) and the interaction of the vortices may lead to an attractive fluctuation induced (van der Waals type) interaction [28]. [Pg.28]

The values of the exponent in Eqs. (5), (6) and (7) imply that, for a fixed path-length L, wandering is minimum for paths that are in the universcJity class of ordinary random walks (C = 1/2) and maximum for paths that cire in the universality class of directed walks (C = 1). On the contrary, for a given end-to-end distance, paths in the universality class of ordinary random walks are much longer than those in the universcdity class of directed polymers. [Pg.274]

The exponent appearing in Eq. (25) is the same as the transverse wandering exponent of the globally optimal path in Eq. (17). The pattern of the locally optimal paths thus reflects the geometry of the globally optimal path. [Pg.281]


See other pages where Exponent wandering is mentioned: [Pg.273]    [Pg.278]    [Pg.278]    [Pg.278]    [Pg.294]    [Pg.62]    [Pg.94]    [Pg.326]    [Pg.299]   
See also in sourсe #XX -- [ Pg.28 ]




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