Mechanism for superuniversal behavior in certain stochastic systems
- 8 February 1988
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review Letters
- Vol. 60 (6) , 527-530
- https://doi.org/10.1103/physrevlett.60.527
Abstract
The problems of a directed polymer in a random matrix, a randomly stirred fluid obeying Burger’s equation, and the dynamics of an interface growing by vapor deposition can be mapped into each other. Renormalization-group arguments suggest that there is an upper critical dimension for these systems above which the correlation length exponent ν should be (1/2. We present an argument which suggests that ν=(2/3 in all dimensions (that is, it is superuniversal), in agreement with the conjecture and numerical simulations of Kardar and Zhang.Keywords
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