Directed polymers in a random environment: Some results on fluctuations

DOI10.1007/BF02765537zbMath0945.82527OpenAlexW1987093269MaRDI QIDQ1285123

Marcelo S. T. Piza

Publication date: 11 October 2000

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

Full work available at URL: https://doi.org/10.1007/bf02765537

zbMATH Keywords

free energyvariancedirected polymersrandom environmentscaling relations

Mathematics Subject Classification ID

Statistical mechanics of polymers (82D60) Random walks, random surfaces, lattice animals, etc. in equilibrium statistical mechanics (82B41)

Related Items

Directed polymers in random environment are diffusive at weak disorder ⋮ The endpoint distribution of directed polymers ⋮ Influence of spatial correlation for directed polymers ⋮ Lower bounds for boundary roughness for droplets in Bernoulli percolation ⋮ Quenched point-to-point free energy for random walks in random potentials ⋮ Scaling for a one-dimensional directed polymer with boundary conditions ⋮ Sharp asymptotics for the partition function of some continuous-time directed polymers ⋮ Fluctuation exponent of the KPZ/stochastic Burgers equation ⋮ Superdiffusivity for a Brownian polymer in a continuous Gaussian environment ⋮ Fluctuation exponents and large deviations for directed polymers in a random environment ⋮ Sublinear variance for directed last-passage percolation ⋮ Fluctuation lower bounds in planar random growth models ⋮ Directed polymers in a random environment with heavy tails ⋮ Brownian directed polymers in random environment ⋮ Positive Temperature Versions of Two Theorems on First-Passage Percolation

Cites Work

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• A note on the diffusion of directed polymers in a random environment
• Divergence of shape fluctuations in two dimensions
• Diffusion of directed polymers in a random environment.
• Superdiffusivity in first-passage percolation
• Distance fluctuations and Lyapunov exponents
• Fluctuations of extensive functions of quenched random couplings
• Dynamic Scaling of Growing Interfaces
• Oriented percolation in dimensions d ≥ 4: bounds and asymptotic formulas
• A remark concerning random walks with random potentials

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