Renormalization group for centrosymmetric gauge transformations of the dynamic motion for a Markov-ordered polymer chain

Journal Article · Sun Nov 01 00:00:00 EST 1987 · Theor. Exp. Chem. (Engl. Transl.); (United States)

DOI:https://doi.org/10.1007/BF00531383· OSTI ID:5189279

Mikhailov, I D; Zhuravskii, L V

A method is proposed for calculating the vibrational-state density averaged over all configurations for a polymer chain with Markov disorder. The method is based on using a group of centrally symmetric gauge transformations that reduce the dynamic matrix for along polymer chain to renormalized dynamic matrices for short fragments. The short-range order is incorporated exactly in the averaging procedure, while the long-range order is incorporated in the self-consistent field approximation. Results are given for a simple skeletal model for a polymer containing tacticity deviations of Markov type.

• Research Organization: Patrice Lumumba Peoples' Friendship Univ., Moscow (USSR)
• OSTI ID: 5189279
• Journal Information: Theor. Exp. Chem. (Engl. Transl.); (United States), Vol. 23:3; Other Information: Translated from Teor. Eksp. Khim.; 23: No. 3, 322-329(May-Jun 1987)
• Country of Publication: United States
• Language: English

Related Subjects

74 ATOMIC AND MOLECULAR PHYSICS
37 INORGANIC
ORGANIC
PHYSICAL AND ANALYTICAL CHEMISTRY
POLYMERS
ATOMIC MODELS
MOLECULAR MODELS
ORDER PARAMETERS
CONFIGURATION INTERACTION
ELECTRONIC STRUCTURE
ENERGY-LEVEL DENSITY
GAUGE INVARIANCE
GROUP THEORY
INFRARED SPECTRA
MARKOV PROCESS
MATRIX ELEMENTS
POLYMERIZATION
QUANTUM MECHANICS
RENORMALIZATION
SELF-CONSISTENT FIELD
STATISTICAL MODELS
VIBRATIONAL STATES
CHEMICAL REACTIONS
ENERGY LEVELS
EXCITED STATES
INVARIANCE PRINCIPLES
MATHEMATICAL MODELS
MATHEMATICS
MECHANICS
SPECTRA
STOCHASTIC PROCESSES
640302* - Atomic
Molecular & Chemical Physics- Atomic & Molecular Properties & Theory
400201 - Chemical & Physicochemical Properties