Fluctuations in an equilibrium hard-disk fluid: Explicit size effects

Romá n, F. L.; White, J. A.; Velasco, S.
September 1997
Journal of Chemical Physics;9/22/1997, Vol. 107 Issue 12, p4635
Academic Journal
Explicit size corrections in the calculation of the fluctuations in the number of particles in a finite subvolume of a hard-disk fluid composed of a fixed number of particles are considered. The size corrections are obtained on the basis of a Taylor series expansion of the pair distribution function of the N-particle system in powers of 1/N. Analytical density dependent expressions are obtained at low density. These expressions show that not only explicit size effects (due to consideration of a fixed number of particles) but also edge effects that result from considering a finite subvolume must be taken into account. A general density dependence study is also reported by relating the relative fluctuation in the number of particles to the equation of state. Numerical results for the Henderson equation of state are obtained. These theoretical results are compared with Monte Carlo computer simulation results.


Related Articles

  • Density of States Simulations of Various Glass Formers. Ghosh, Jayeeta; Faller, Roland // AIP Conference Proceedings;2/21/2008, Vol. 982 Issue 1, p142 

    The behavior of glassy systems in bulk and especially in confined geometries has received considerable attention over the last decades because of the technological importance and inherent complexity of the systems near or below the transition temperature. Confined glasses have been studied using...

  • Bridge function for the dipolar fluid from simulation. Puibasset, Joël; Belloni, Luc // Journal of Chemical Physics;4/12/2012, Vol. 136 Issue 15, p154503 

    The exact bridge function of the Lennard-Jones dipolar (Stockmayer) fluid is extracted from Monte Carlo simulation data. The projections gmnl(r) onto rotational invariants of the non-spherically symmetric pair distribution function g(r, Ω) are accumulated during simulation. Making intensive...

  • The van Hove distribution function for Brownian hard spheres: Dynamical test particle theory and computer simulations for bulk dynamics. Hopkins, Paul; Fortini, Andrea; Archer, Andrew J.; Schmidt, Matthias // Journal of Chemical Physics;12/14/2010, Vol. 133 Issue 22, p224505 

    We describe a test particle approach based on dynamical density functional theory (DDFT) for studying the correlated time evolution of the particles that constitute a fluid. Our theory provides a means of calculating the van Hove distribution function by treating its self and distinct parts as...

  • Structure of Lennard-Jones fluids confined in square nanoscale channels from density functional theory. Yang, Xaioning; Ding, Junqing // Journal of Chemical Physics;10/15/2004, Vol. 121 Issue 15, p7449 

    The density distribution of Lennard-Jones fluids confined in square nanoscale channels with Lennard-Jones walls has been studied using the nonlocal density functional theory (DFT) based on the Tarazona model. The effect of channel lengths on the density profiles with various chemical potentials...

  • Bosonic Hard-Rods in One Dimensional Optical Lattices. Soto, F.; Gordillo, M. // Journal of Low Temperature Physics;May2013, Vol. 171 Issue 3/4, p348 

    Diffusion Monte Carlo simulations on the subject of bosonic hard rods trapped in one dimensional optical lattices are presented. The existence of Mott Insulator phases for integer fillings is deduced from the behavior of the energy per particle as a function of the density. The analysis of the...

  • Geant4 simulation of energy deposit in KASCADE-Grande detectors. Gherghel-Lascu, A.; Sima, O.; Brancus, I. M.; Rebel, H.; Haungs, A.; Saftoiu, A.; Toma, G. // AIP Conference Proceedings;Nov2012, Vol. 1498 Issue 1, p329 

    An important step in the reconstruction of extensive air showers detected by ground particle detectors is the evaluation of particle density on the basis of detector signals. This is done using the mean energy deposited by a shower particle in the detector. In the standard procedure the...

  • BEP/SEP and Outage Performance Analysis of L-Branch Maximal-Ratio Combiner for κ-Ò¼ Fading. Milišić, Mirza; Hamza, Mirza; Hadžialić, Mesud // International Journal of Digital Multimedia Broadcasting;2009, Vol. 2009, Special section p1 

    Maximal-ratio combiner (MRC) performances in fading channels have been of interest for a long time, which can be seen by a number of papers concerning this topic. In this paper we treat bit error probability (BEP), symbol error probability (SEP) and outage probability of MRC in presence of...

  • Curvature dependence of surface free energy of liquid drops and bubbles: A simulation study. Block, Benjamin J.; Das, Subir K.; Oettel, Martin; Virnau, Peter; Binder, Kurt // Journal of Chemical Physics;10/21/2010, Vol. 133 Issue 15, p154702 

    We study the excess free energy due to phase coexistence of fluids by Monte Carlo simulations using successive umbrella sampling in finite L×L×L boxes with periodic boundary conditions. Both the vapor-liquid phase coexistence of a simple Lennard-Jones fluid and the coexistence between...

  • On the Rayleigh-Bénard problem in rarefied gases. Manela, Avshalom; Frankel, Itzchak // AIP Conference Proceedings;2005, Vol. 762 Issue 1, p264 

    The transition to convection in the Rayleigh-Bénard problem at small Knudsen numbers is studied via a linear temporal stability analysis of the compressible ‘slip-flow’ problem. No restrictions are imposed on the magnitudes of the temperature difference and...


Read the Article


Sorry, but this item is not currently available from your library.

Try another library?
Sign out of this library

Other Topics