Memory function versus binary correlator in additive Markov chains
Abstract
We study properties of the additive binary Markov chain with short and longrange correlations. A new approach is suggested that allows one to express global statistical properties of a binary chain in terms of the socalled memory function. The latter is directly connected with the pair correlator of a chain via the integral equation that is analyzed in great detail. To elucidate the relation between the memory function and pair correlator, some specific cases were considered that may have important applications in different fields.
 Publication:

Physica A Statistical Mechanics and its Applications
 Pub Date:
 December 2006
 DOI:
 10.1016/j.physa.2006.08.037
 arXiv:
 arXiv:condmat/0610387
 Bibcode:
 2006PhyA..372..279I
 Keywords:

 Condensed Matter  Statistical Mechanics
 EPrint:
 31 pages, 1 figure