Viscoelastic and Orientational Relaxation of Linear and Ring Rouse Chains Undergoing Reversible End-Association and Dissociation
| Autor: | Yumi Matsumiya, Hiroshi Watanabe, Youngdon Kwon |
|---|---|
| Rok vydání: | 2016 |
| Předmět: |
Physics
Polymers and Plastics Organic Chemistry Bond vector Time evolution Thermodynamics 02 engineering and technology Eigenfunction 010402 general chemistry 021001 nanoscience & nanotechnology 01 natural sciences Viscoelasticity Dissociation (chemistry) 0104 chemical sciences Inorganic Chemistry Evolution equation Materials Chemistry Trigonometric functions Sine 0210 nano-technology |
| Zdroj: | Macromolecules. 49:3593-3607 |
| ISSN: | 1520-5835 0024-9297 |
| DOI: | 10.1021/acs.macromol.6b00424 |
| Popis: | For dilute telechelic linear and ring Rouse chains undergoing reversible end-association and dissociation, the time (t) evolution equation was analytically formulated for the bond vector of the subchain (or segment), u[c](n,t) with n being the subchain index and the superscript c specifying the chain (c = L and R for the linear and ring chains). The end-association of the linear chain (i.e., ring formation) occurs only when the ends of the linear chain come into close proximity. Because of this constraint for the ring formation, the time evolution equation for u[L](n,t) of the linear chain was formulated with a conceptually new, two-step expansion method: u[L](n,t) was first expanded with respect to its sinusoidal Rouse eigenfunction, sin(pπn/N) with p = integer and N being the number of subchains per chain, and then the series of odd sine modes is re-expanded with respect to cosine eigenfunctions of the ring chain, cos(2απn/N) with α = integer, so as to account for that constraint. This formulation allow... |
| Databáze: | OpenAIRE |
| Externí odkaz: |
|