Percolation threshold of hard-sphere fluids in between the soft-core and hard-core limits

2006 ◽  
Vol 104 (20-21) ◽  
pp. 3137-3146 ◽  
Author(s):  
David M. Heyes ◽  
Michael Cass ◽  
Arkadiusz C. Brańka
1985 ◽  
Vol 4 (2) ◽  
pp. 101-109 ◽  
Author(s):  
Guillermo Latorre ◽  
M. Angélica Kaulen
Keyword(s):  

KronoScope ◽  
2001 ◽  
Vol 1 (1) ◽  
pp. 75-99 ◽  
Author(s):  
David Ray Griffin

AbstractAfter contrasting process philosophy's pantemporalism with the two other possibilities — nontemporalism and dualism — I argue the following points:The great negative virtue of J.T.Fraser's version of emergent dualism is that it explicitly brings out the paradoxes that must be faced if pantemporalism is denied. Its great positive virtue,especially when read in conjunction with Grünbaum's position, is that it brings out the fact that time (in the full-fledged sense) requires experience.These two virtues combined suggest the truth of both pantemporalism and panexperientialism, which are mutually implicatory.Pantemporalism, or even the weaker conviction, shared by almost everyone, that time has existed at least since the origin of our universe, conflicts with another belief that initially seems equally well grounded — the belief in an ontological dualism between experiencing and nonexperiencing things. But this latter conviction belongs at best only to soft-core, not hard-core, common sense, so it can be given up without selfcontradiction. Because panexperientialism, like pantemporalism, solves a host of philosophical problems, a pantemporalisticpanexperientialist worldview can be defended in terms of selfconsistency and adequacy to the facts, including the facts of hard-core common sense.


2017 ◽  
Vol 49 (1) ◽  
pp. 1-23
Author(s):  
Christoph Hofer-Temmel

AbstractA point process isR-dependent if it behaves independently beyond the minimum distanceR. In this paper we investigate uniform positive lower bounds on the avoidance functions ofR-dependent simple point processes with a common intensity. Intensities with such bounds are characterised by the existence of Shearer's point process, the uniqueR-dependent andR-hard-core point process with a given intensity. We also present several extensions of the Lovász local lemma, a sufficient condition on the intensity andRto guarantee the existence of Shearer's point process and exponential lower bounds. Shearer's point process shares a combinatorial structure with the hard-sphere model with radiusR, the uniqueR-hard-core Markov point process. Bounds from the Lovász local lemma convert into lower bounds on the radius of convergence of a high-temperature cluster expansion of the hard-sphere model. This recovers a classic result of Ruelle (1969) on the uniqueness of the Gibbs measure of the hard-sphere model via an inductive approach of Dobrushin (1996).


1999 ◽  
Vol 77 (8) ◽  
pp. 585-590 ◽  
Author(s):  
M Moradi ◽  
M Kavosh Tehrani

The solvation force in a hard-sphere fluid is obtained by the denisty functional theory proposed by Rickayzen and Augousti. The direct correlation function (DCF) with the tail introduced by Tang and Lu is used. This DCF (hereafter TL DCF ) is postulated to hold the Yukawa form outside the hard core; and the generalized mean spherical approximation (GMSA) approach has been applied. The results are compared with those obtained by using the Percus-Yevick (PY) DCF. These results are also compared with those of Monte Carlo simulations. At low densities and fairly high densities the results are in agreement. But at high densities there is more oscillation in the solvation force obtained by using TL DCF in comparison with the PY DCF. There are no simulation results at high densities to be compared with these results.PACS No. 61.20


2006 ◽  
Vol 125 (16) ◽  
pp. 164503 ◽  
Author(s):  
Elisabeth Schöll-Paschinger ◽  
Albert Reiner
Keyword(s):  

1981 ◽  
Vol 17 (4) ◽  
pp. 319-343 ◽  
Author(s):  
Barry S. Sapolsky ◽  
Dolf Zillmann
Keyword(s):  

2011 ◽  
Vol 20 (11) ◽  
pp. 2317-2327 ◽  
Author(s):  
DIPTI PACHOURI ◽  
MANJARI SHARMA ◽  
SYED RAFI ◽  
W. HAIDER

In the present work we describe our results concerning the calculation of equation of state of symmetric zero temperature nuclear matter and the microscopic optical potential using the soft-core Argonne inter-nucleon potentials in first order Brueckner–Hartree–Fock (BHF) theory. The nuclear matter saturates at a density 0.228 nucleon/fm 3 with 17.52 MeV binding energy per nucleon for Argonne av-14 and at 0.228 nucleon/fm 3 with 17.01 MeV binding energy per nucleon for Argonne av-18. As a test case we present an analysis of 65 and 200 MeV protons scattering from 208 Pb . The Argonne av-14 has been used for the first time to calculate nucleon optical potential in BHF and analyze the nucleon scattering data. We also compare our reaction matrix results with those using the old hard-core Hamada–Johnston and the soft-core Urbana uv-14 and Argonne av-18 inter-nucleon potentials. Our results indicate that the microscopic potential obtained using av-14 gives marginally better agreement with the experimental data than the other three Hamiltonians used in the present work.


2020 ◽  
Vol 10 (4) ◽  
pp. 1315 ◽  
Author(s):  
Artyom Plyushch ◽  
Dmitry Lyakhov ◽  
Mantas Šimėnas ◽  
Dzmitry Bychanok ◽  
Jan Macutkevič ◽  
...  

The conductivity and percolation concentration of the composite material filled with randomly distributed carbon nanotubes were simulated as a function of the mechanical deformation. Nanotubes were modelled as the hard-core ellipsoids of revolution with high aspect ratio. The evident anisotropy was observed in the percolation threshold and conductivity. The minimal mean values of the percolation of 4.6 vol. % and maximal conductivity of 0.74 S/m were found for the isotropic composite. Being slightly aligned, the composite demonstrates lower percolation concentration and conductivity along the orientation of the nanotubes compared to the perpendicular arrangement.


Sign in / Sign up

Export Citation Format

Share Document