A Born–Green–Yvon equation for flexible chain‐molecule fluids. I. General formalism and numerical results for short hard‐sphere chains

1995 ◽  
Vol 102 (5) ◽  
pp. 2118-2125 ◽  
Author(s):  
Mark P. Taylor ◽  
J. E. G. Lipson
Keyword(s):  
Hard Sphere ◽  
Numerical Results ◽  
Chain Molecule ◽  
Flexible Chain

Properties of Non-Instant and Nonlocal Corrections

2018 ◽  
Author(s):  
Klaus Morawetz
Keyword(s):  
Kinetic Equation ◽  
Delay Time ◽  
Hard Sphere ◽  
Phase Shifts ◽  
Nuclear Collision ◽  
Numerical Results ◽  
Quasiclassical Approximation ◽  
Scattering Angle ◽  
Scattering Phase ◽  
Scattering Phase Shifts

The derived nonlocal and non-instant shifts are discussed with respect to various symmetries and gauges. The classical counterparts are derived and found in agreement with the expected phenomenological ones from chapter 3. The explicit forms of the hard-sphere like offsets and the delay time in terms of the scattering phase shifts are calculated and discussed on the example of nuclear collision. The numerical results reveal an interesting inside into the microscopic correlations developed in dependence on the scattering angle and scattering energy. The just-accomplished derivation of the nonlocal scattering integrals is far from being intuitive. We have reached our task, the kinetic equation, being guided by nothing but systematic implementation of the quasiclassical approximation and the limit of small scattering rates.

Equations of state of freely jointed hard-sphere chain fluids: Numerical results

1999 ◽  
Vol 110 (11) ◽  
pp. 5458-5468 ◽  
Author(s):  
G. Stell ◽  
C.-T. Lin ◽  
Yu. V. Kalyuzhnyi
Keyword(s):  
Hard Sphere ◽  
Equations Of State ◽  
Numerical Results ◽  
Chain Fluids

scholarly journals Nonergodicity parameters of confined hard-sphere glasses

Soft Matter ◽  
2017 ◽  
Vol 13 (36) ◽  
pp. 6167-6177 ◽  
Author(s):  
Suvendu Mandal ◽  
Simon Lang ◽  
Vitalie Boţan ◽  
Thomas Franosch
Keyword(s):  
Hard Sphere ◽  
Mode Coupling ◽  
Numerical Results ◽  
Coupling Theory ◽  
Mode Coupling Theory ◽  
Time Limits ◽  
Long Time

Within a recently developed mode-coupling theory for fluids confined to a slit we elaborate numerical results for the long-time limits of suitably generalized intermediate scattering functions.

NON-ADDITIVE HARD SPHERE MIXTURES, NUMERICAL RESULTS FOR NEGATIVE NON-ADDITIVE PARAMETER

1980 ◽  
Vol 41 (C8) ◽  
pp. C8-317-C8-320 ◽  
Author(s):  
D. Levesque ◽  
J. H. Nixon ◽  
M. Silbert ◽  
J. J. Weis
Keyword(s):  
Hard Sphere ◽  
Numerical Results

Excess electrons in simple fluids. II. Numerical results for the hard sphere solvent

1984 ◽  
Vol 81 (11) ◽  
pp. 5109-5116 ◽  
Author(s):  
Albert L. Nichols ◽  
David Chandler ◽  
Yashwant Singh ◽  
Diane M. Richardson
Keyword(s):  
Hard Sphere ◽  
Numerical Results ◽  
Simple Fluids ◽  
Excess Electrons
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