Improved bounds for the transition temperature of directed polymers in a finite-dimensional random medium

DOI10.1007/BF01053800zbMath0893.60098MaRDI QIDQ1379499

M. R. Evans, Bernard Derrida

Publication date: 10 August 1998

Published in: Journal of Statistical Physics (Search for Journal in Brave)

zbMATH Keywords

boundsdisorderrandom systemsdirected polymernoninteger moments of the partition function

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Special processes (60K99)

Related Items (7)

Disordered pinning models and copolymers: Beyond annealed bounds ⋮ Fractional moment bounds and disorder relevance for pinning models ⋮ Static approach to renormalization group analysis of stochastic models with spatially quenched noise ⋮ Nonuniversality and analytical continuation in moments of directed polymers on hierarchical lattices ⋮ New characterization of the weak disorder phase of directed polymers in bounded random environments ⋮ Mean field theory of directed polymers with random complex weights ⋮ The Kardar–Parisi–Zhang model of a random kinetic growth: effects of a randomly moving medium

Cites Work

• KPP equation and supercritical branching Brownian motion in the subcritical speed area. Application to spatial trees
• Diffusion of directed polymers in a random environment.
• Polymers on disordered trees, spin glasses, and traveling waves.
• Dynamic Scaling of Growing Interfaces
• Directed polymers in a random medium: 1/d expansion and the n-tree approximation
• Low-temperature phase of the Ising spin glass on a hypercubic lattice

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