A Fractal Approach To the Distribution Function of a Paramagnetic System

A similarity between the random walk problem and a paramagnetic system has been established. The distribution functions of the stationary states have been obtained by making the Tsallis entropy a maximum, belonging to the statistical ensemble of a paramagnetic system, under suitable constraints using the variational methods. The asymptotic form of the distribution of the magnetic moments has been determined from the behaviour of the Levy distribution. For the paramagnetic system which has been considered as the fractally structured system, following the way used by Alemany and Zanette [1] Tsallis q index has been related to the fractal dimension and the interval of the values of q has also been determined.