Free energy and some sample path properties of a random walk with random potential.

DOI10.1007/BF02183741zbMath1081.82559OpenAlexW2053002319MaRDI QIDQ1593407

Xian Yin Zhou, Sergio A. Albeverio

Publication date: 16 January 2001

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

Full work available at URL: https://doi.org/10.1007/bf02183741

zbMATH Keywords

free energyrecurrencecentral limit theoremlocalizationrandom walks with random potentials

Mathematics Subject Classification ID

Interacting random processes; statistical mechanics type models; percolation theory (60K35) Disordered systems (random Ising models, random Schrödinger operators, etc.) in equilibrium statistical mechanics (82B44) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items (10)

Copolymer at selective interfaces and pinning potentials: weak coupling limits ⋮ A heteropolymer in a medium with random droplets ⋮ Localization transition for a polymer near an interface ⋮ Critical properties and finite-size estimates for the depinning transition of directed random polymers ⋮ Crossing velocities for an annealed random walk in a random potential ⋮ Copolymers at selective interfaces: New bounds on the phase diagram ⋮ A numerical approach to copolymers at selective interfaces ⋮ On the irrelevant disorder regime of pinning models ⋮ A heteropolymer near a linear interface ⋮ Estimates on path delocalization for copolymers at selective interfaces

Cites Work

• The range of stable random walks
• Localization of diffusion processes in one-dimensional random environment
• Rigorous results for the free energy in the Hopfield model
• Localization of a two-dimensional random walk with an attractive path interaction
• The replica-symmetric solution without replica trick for the Hopfield model
• Polymers on disordered trees, spin glasses, and traveling waves.
• Fluctuations of extensive functions of quenched random couplings
• On the confinement property of two‐dimensional Brownian motion among poissonian obstacles

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