Monte Carlo Study of the Second Virial Coefficient and Statistical Exponent of Star Polymers with Large Numbers of Branches

2000 ◽  
Vol 33 (20) ◽  
pp. 7655-7662 ◽  
Author(s):  
Kazuhito Shida ◽  
Kaoru Ohno ◽  
Masayuki Kimura ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Monte Carlo ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Star Polymers ◽  
Monte Carlo Study ◽  
Large Numbers

Monte Carlo Study of the Second Virial Coefficient of Star Polymers in a Good Solvent

1996 ◽  
Vol 29 (6) ◽  
pp. 2269-2274 ◽  
Author(s):  
Kaoru Ohno ◽  
Kazuhito Shida ◽  
Masayuki Kimura ◽  
Yoshiyuki Kawazoe
Keyword(s):  
Monte Carlo ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Star Polymers ◽  
Monte Carlo Study

scholarly journals A Monte Carlo study of the second virial coefficient of semiflexible ring polymers

2010 ◽  
Vol 42 (9) ◽  
pp. 735-744 ◽  
Author(s):  
Daichi Ida ◽  
Daisuke Nakatomi ◽  
Takenao Yoshizaki
Keyword(s):  
Monte Carlo ◽  
Virial Coefficient ◽  
Second Virial Coefficient ◽  
Monte Carlo Study ◽  
Ring Polymers

scholarly journals THE FOURTH VIRIAL COEFFICIENT OF ANYONS

1998 ◽  
Vol 13 (21) ◽  
pp. 3723-3747 ◽  
Author(s):  
ANDERS KRISTOFFERSEN ◽  
STEFAN MASHKEVICH ◽  
JAN MYRHEM ◽  
KÅRE OLAUSSEN
Keyword(s):  
Monte Carlo ◽  
Fourier Series ◽  
Monte Carlo Method ◽  
Path Integral ◽  
Virial Coefficient ◽  
Path Integrals ◽  
Second Virial Coefficient ◽  
Virial Coefficients ◽  
Partition Functions ◽  
Two Dimensional

We have computed by a Monte Carlo method the fourth virial coefficient of free anyons, as a function of the statistics angle θ. It can be fitted by a four term Fourier series, in which two coefficients are fixed by the known perturbative results at the boson and fermion points. We compute partition functions by means of path integrals, which we represent diagramatically in such a way that the connected diagrams give the cluster coefficients. This provides a general proof that all cluster and virial coefficients are finite. We give explicit polynomial approximations for all path integral contributions to all cluster coefficients, implying that only the second virial coefficient is statistics dependent, as is the case for two-dimensional exclusion statistics. The assumption leading to these approximations is that the tree diagrams dominate and factorize.

Monte Carlo calculation of the osmotic second virial coefficient of off-lattice athermal polymers

1992 ◽  
Vol 25 (15) ◽  
pp. 3979-3983 ◽  
Author(s):  
Arun Yethiraj ◽  
Kevin G. Honnell ◽  
Carol K. Hall
Keyword(s):  
Monte Carlo ◽  
Virial Coefficient ◽  
Monte Carlo Calculation ◽  
Second Virial Coefficient

Local Conformation of Regular Star Polymers in a Good Solvent:  A Monte Carlo Study

1996 ◽  
Vol 29 (8) ◽  
pp. 2994-2999 ◽  
Author(s):  
Alessandra Forni ◽  
Fabio Ganazzoli ◽  
Michele Vacatello
Keyword(s):  
Monte Carlo ◽  
Star Polymers ◽  
Monte Carlo Study ◽  
Local Conformation
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