Published December 1988
| Version v1
Journal article
Random walks on a lattice of obstacles
Description
An effective method is proposed for investigating the statistical characteristics of random walks associated with their topological state with respect to a regular lattice of obstacles. Such problems arise in the modeling of the behavior of macroscopic molecules in concentrated systems consisting of strongly entangled polymer chains. The method can be used, in particular, to calculate the change in the elasticity free energy when there is isotropic swelling of polymer networks
Additional details
Publishing Information
- Journal Title
- Theoretical and Mathematical Physics (English Translation)
- Journal Volume
- 75
- Journal Issue
- 3
- Series
- Theor. Math. Phys. (Engl. Transl.).
- Journal Page Range
- 644-654
- ISSN
- 0040-5779
- CODEN
- TMPHA
INIS
- Country of Publication
- United States
- Country of Input or Organization
- United States
- INIS RN
- 20053421
- Subject category
- S71: CLASSICAL AND QUANTUM MECHANICS, GENERAL PHYSICS;
- Resource subtype / Literary indicator
- Translation
- Descriptors DEI
- CRYSTAL MODELS; CUBIC LATTICES; ELASTICITY; FREE ENERGY; LATTICE PARAMETERS; MATHEMATICAL MANIFOLDS; MATRICES; MOLECULES; ORTHOGONAL TRANSFORMATIONS; PARTITION FUNCTIONS; POLYMERS; RANDOMNESS; RECURSION RELATIONS; STATISTICAL MECHANICS; SWELLING; TOPOLOGY; TRAJECTORIES
- Descriptors DEC
- CRYSTAL LATTICES; CRYSTAL STRUCTURE; DEFORMATION; ENERGY; FUNCTIONS; MATHEMATICAL MODELS; MATHEMATICS; MECHANICAL PROPERTIES; MECHANICS; PHYSICAL PROPERTIES; THERMODYNAMIC PROPERTIES; TRANSFORMATIONS
Optional Information
- Notes
- Translated from Teor. Mat. Fiz.; 75: No. 3, 451-464(Jun 1988). Cover-to-cover translation of Teoreticheskaya i Matematicheskaya Fizika (USSR).