Diffusion of directed polymers in a random environment

Journal Article · Mon Aug 01 04:00:00 EDT 1988 · J. Stat. Phys.; (United States)

DOI:https://doi.org/10.1007/BF01019720· OSTI ID:6059775

Imbrie, J Z; Spencer, T

We consider a system of random walks or directed polymers interacting weakly with an environment which is random in space and time. In spatial dimensions d > 2, we establish that the behavior in diffusive with probability one. The diffusion constant is not renormalized by the interaction.

• Research Organization: Harvard Univ., Cambridge, MA (USA)
• OSTI ID: 6059775
• Journal Information: J. Stat. Phys.; (United States), Journal Name: J. Stat. Phys.; (United States) Vol. 52:3-4; ISSN JSTPB
• Country of Publication: United States
• Language: English

Related Subjects

657002* -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
CRYSTAL MODELS
DIFFUSION
EXCHANGE INTERACTIONS
FUNCTIONS
INTERACTIONS
ISING MODEL
MATHEMATICAL MANIFOLDS
MATHEMATICAL MODELS
MECHANICS
MOLECULES
PARTITION FUNCTIONS
POLYATOMIC MOLECULES
POLYMERS
PROBABILITY
RANDOMNESS
RENORMALIZATION
SPACE-TIME
STATISTICAL MECHANICS
TRANSPORT THEORY