Chain propagator, mass, and universality in polymer solutions from Brownian relativity

Journal Article · Mon Aug 01 00:00:00 EDT 2005 · Annals of Physics (New York)

DOI:https://doi.org/10.1016/j.aop.2005.01.007· OSTI ID:20690179

Mezzasalma, Stefano A ^[1]

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1. BBCM Department, Trieste University, Via Giorgieri 1, 34127 Trieste (Italy)

A Lagrangian theory for single chains in polymer solutions is addressed via a recent Brownian relativity. By employing generalized diffusive coordinates, statements of covariance and diffusivity invariance result into free particle Lagrangians, where mass turns out to rise as a universal spacetime property. It descends from lowering diffusivity (or curving spacetime), so identifying a mechanism which conceptually resemble those ruling macromolecular scaling laws. An extended chain propagator recovers the Gaussian end-to-end distribution and, in the limits of time-like and space-like orbits, the dualism for diffusive paths and polymer random-walks00.

• OSTI ID: 20690179
• Journal Information: Annals of Physics (New York), Vol. 318, Issue 2; Other Information: DOI: 10.1016/j.aop.2005.01.007; PII: S0003-4916(05)00011-4; Copyright (c) 2005 Elsevier Science B.V., Amsterdam, The Netherlands, All rights reserved; Country of input: International Atomic Energy Agency (IAEA); ISSN 0003-4916
• Country of Publication: United States
• Language: English

Related Subjects

71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
COORDINATES
DISTRIBUTION
LAGRANGIAN FUNCTION
MASS
MATHEMATICAL SOLUTIONS
ORBITS
POLYMERS
PROPAGATOR
RANDOMNESS
SCALING LAWS
SPACE-TIME
STATISTICAL MECHANICS