Thermal properties of directed polymers in a random medium
Authors:
- 1 April 1990
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 41 (8) , 4160-4165
Abstract
We calculate, by performing a product of random matrices, the specific heat and its derivative for the problem of directed polymers in a random medium. Our results are consistent with the existence of a phase transition both in 3+1 and 2+1 dimensions and with the absence of a phase transition in 1+1 dimensions. Our finite-size scaling analysis leads to α=-0.1±0.1 in 3+1 and α=-1.0±0.2 in 2+1 dimensions.Keywords
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