Physics – Condensed Matter – Statistical Mechanics
Scientific paper
2009-02-11
J. Stat. Phys. 141, 1, 53--59, 2010
Physics
Condensed Matter
Statistical Mechanics
5 pages, 3 figures
Scientific paper
10.1007/s10955-010-0039-0
We study systems with a continuous phase transition that tune their parameters to maximize a quantity that diverges solely at a unique critical point. Varying the size of these systems with dynamically adjusting parameters, the same finite-size scaling is observed as in systems where all relevant parameters are fixed at their critical values. This scheme is studied using a self-tuning variant of the Ising model. It is contrasted with a scheme where systems approach criticality through a target value for the order parameter that vanishes with increasing system size. In the former scheme, the universal exponents are observed in naive finite-size scaling studies, whereas in the latter they are not.
Girvan Michelle
Peters Ole
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