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Interface pinning–depinning transition in quenched random media is studied by investigating a simple directed polymer … over all slope of the interface and the reduced force, respectively. The coefficient λ of the KPZ nonlinear term is … proportional to −v and it approaches zero as F→Fc. We find that the roughness exponent α=1.00±0.02 in d=1+1 and α=0.92±0.05 in d=2 …
Persistent link: https://www.econbiz.de/10011059334
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...
Persistent link: https://www.econbiz.de/10011060544