Abstract
It is shown that the kinetics of collapse of a polymer coil consisting of N segments after an abrupt decrease of temperature is a two-stage process if N >> Ne. The first stage takes a time ∼ N2 and leads to the peculiar state — crumpled, or fractal, globule. Any part of a chain of any scale is itself a globule in this state ; these parts are segregated from each other in space due to the non-phantomness of a chain. The chain fold in the crumpled globule is a fractal line with fractal dimension 3, equal to the space dimension. The second stage is a chain knotting ; it is realized by means of reptation-like mechanism of motion, takes a time ∼ N3 and is accompanied by an increase of globule density.
Keywords
MacromoleculeKineticsStatistical physicsTopology (electrical circuits)Chemical physicsChemistryPhysicsClassical mechanicsMathematicsCombinatoricsBiochemistry
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Publication Info
- Year
- 1988
- Type
- article
- Volume
- 49
- Issue
- 12
- Pages
- 2095-2100
- Citations
- 423
- Access
- Closed
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Cite This
Alexander Y. Grosberg,
Sergei Nechaev,
Eugene I. Shakhnovich
(1988).
The role of topological constraints in the kinetics of collapse of macromolecules.
Journal de physique
, 49
(12)
, 2095-2100.
https://doi.org/10.1051/jphys:0198800490120209500
Identifiers
- DOI
- 10.1051/jphys:0198800490120209500