Phase transition of directed polymer in random potentials on 4+1 dimensions

Jin Min Kim

Physica A: Statistical Mechanics and its Applications, 1999, vol. 270, issue 3, 335-341

Abstract: Finite-temperature-directed polymer in random potentials is described by a transfer matrix method. On 4+1 dimensions, the evidence for a finite-temperature phase transition is found at Tc≈0.18, where the free energy fluctuation grows logarithmically as a function of time t. When T⪡Tc, the fluctuation of the free energy grows as tω with ω≈0.156. The phase transition of the restricted solid-on-solid model, which is closely related to the directed polymer problem through the Kardar–Parisi–Zhang equation, is also discussed.

Keywords: Kardar–Parisi–Zhang equation; Directed polymer; Random potential; Restricted solid-on-solid model (search for similar items in EconPapers)
Date: 1999
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:270:y:1999:i:3:p:335-341

DOI: 10.1016/S0378-4371(99)00182-X

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