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

The fifth virial coefficient of a fluid of hard spheres

1964 ◽  
Vol 279 (1377) ◽  
pp. 147-160 ◽  
Keyword(s):  
Monte Carlo ◽  
Numerical Integration ◽  
Virial Coefficient ◽  
Monte Carlo Calculation ◽  
Hard Spheres ◽  
Cluster Integrals ◽  
Different Types

The fifth virial coefficient of a fluid of hard spheres is a sum of 238 irreducible cluster integrals of 10 different types. The values of 5 of these types (152 integrals) are obtained analytically, the contributions of a further 4 types (85 integrals) are obtained by a com­bination of analytical and numerical integration, and 1 integral is calculated by an approximation. The result is E = (0·1093 ± 0·0007) b 4 , b = 2/3 πN A σ 3 , where σ is the diameter of a sphere. A combination of the values of 237 of the cluster integrals obtained in this paper with the value of one integral obtained independently by Katsura & Abe from a Monte Carlo calculation yields E = (0·1101 ± 0·0003) b 4 .

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 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

Monte Carlo simulation of homopolymer chains. I. Second virial coefficient

2003 ◽  
Vol 118 (10) ◽  
pp. 4721-4732 ◽  
Author(s):  
Ian M. Withers ◽  
Andrey V. Dobrynin ◽  
Max L. Berkowitz ◽  
Michael Rubinstein
Keyword(s):  
Monte Carlo Simulation ◽  
Monte Carlo ◽  
Virial Coefficient ◽  
Second Virial Coefficient

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 calculation of the energy parameters and spatial distribution of the cathodic arc ions while passing through the macro-particles filters

2018 ◽  
Vol 1 (1) ◽  
pp. 30-34 ◽  
Author(s):  
Alexey Chernogor ◽  
Igor Blinkov ◽  
Alexey Volkhonskiy
Keyword(s):  
Magnetic Field ◽  
Mass Transfer ◽  
Monte Carlo ◽  
Monte Carlo Calculation ◽  
Inhomogeneous Magnetic Field ◽  
Flow Energy ◽  
Wide Range ◽  
Field Concentrator ◽  
Cathodic Arc ◽  
The Magnetic Field

The flow, energy distribution and concentrations profiles of Ti ions in cathodic arc are studied by test particle Monte Carlo simulations with considering the mass transfer through the macro-particles filters with inhomogeneous magnetic field. The loss of ions due to their deposition on filter walls was calculated as a function of electric current and number of turns in the coil. The magnetic field concentrator that arises in the bending region of the filters leads to increase the loss of the ions component of cathodic arc. The ions loss up to 80 % of their energy resulted by the paired elastic collisions which correspond to the experimental results. The ion fluxes arriving at the surface of the substrates during planetary rotating of them opposite the evaporators mounted to each other at an angle of 120° characterized by the wide range of mutual overlapping.

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