Multifractal properties in the one-dimensional random-field Ising model
- 1 March 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 37 (5) , 1703-1707
- https://doi.org/10.1103/physreva.37.1703
Abstract
The Ising chain in a random field is investigated in the region of parameter settings where the measure related to the free-energy distribution is a fractal. The multifractal spectrum is calculated by means of a perturbation expansion in terms of the strength of the random field by exploiting the connection with the problem of a non-natural measure of a one-dimensional map. It is shown that the multifractal spectrum and the distribution of the free-energy fluctuations of finite chains are connected.Keywords
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