Universality of node-avoiding and path-avoiding Levy flights
Prentis, Jeffrey J.; Geisler, W. R.
1986-02-21
Citation
Prentis, J J; Geisler, W R (1986). "Universality of node-avoiding and path-avoiding Levy flights." Journal of Physics A: Mathematical and General. 19(3): L161-L165. <http://hdl.handle.net/2027.42/48809>
Abstract
The real space renormalisation group theory is applied to the self-avoiding Levy flight problem with Levy exponent mu on a two-dimensional square lattice. A finite-lattice renormalisation transformation is used to derive the critical behaviour exhibited by two classes of self-avoiding Levy processes: the node-avoiding Levy flight (NALF); the path-avoiding Levy flight (PALF). It is found that the NALF and the PALF belong to the same universality class.Publisher
IOP Publishing Ltd
ISSN
0305-4470
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