A modified gambler's ruin model of polyethylene chains in the amorphous region.
Proc Natl Acad Sci U S A
; 93(19): 10007-11, 1996 Sep 17.
Article
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| MEDLINE
| ID: mdl-11607704
ABSTRACT
Polyethylene chains in the amorphous region between two crystalline lamellae M unit apart are modeled as random walks with one-step memory on a cubic lattice between two absorbing boundaries. These walks avoid the two preceding steps, though they are not true self-avoiding walks. Systems of difference equations are introduced to calculate the statistics of the restricted random walks. They yield that the fraction of loops is (2M - 2)/(2M + 1), the fraction of ties 3/(2M + 1), the average length of loops 2M - 0.5, the average length of ties 2/3M2 + 2/3M - 4/3, the average length of walks equals 3M - 3, the variance of the loop length 16/15M3 + O(M2), the variance of the tie length 28/45M4 + O(M3), and the variance of the walk length 2M3 + O(M2).
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1
Colección:
01-internacional
Base de datos:
MEDLINE
Idioma:
En
Revista:
Proc Natl Acad Sci U S A
Año:
1996
Tipo del documento:
Article
País de afiliación:
Estados Unidos