85 research outputs found
Fluid and solid phases of the Gaussian core model
We study the structural and thermodynamic properties of a model of point
particles interacting by means of a Gaussian pair potential first introduced by
Stillinger [Stillinger F H 1976 J. Chem. Phys. 65, 3968]. By employing integral
equation theories for the fluid state and comparing with Monte Carlo simulation
results, we establish the limits of applicability of various common closures
and examine the dependence of the correlation functions of the liquid on the
density and temperature. We employ a simple, mean-field theory for the high
density domain of the liquid and demonstrate that at infinite density the
mean-field theory is exact and that the system reduces to an `infinite density
ideal gas', where all correlations vanish and where the hypernetted chain (HNC)
closure becomes exact. By employing an Einstein model for the solid phases, we
subsequently calculate quantitatively the phase diagram of the model and find
that the system possesses two solid phases, face centered cubic and body
centered cubic, and also displays reentrant melting into a liquid at high
densities. Moreover, the system remains fluid at all densities when the
temperature exceeds 1% of the strength of the interactions.Comment: 22 pages, 10 figure
Self diffusion in a system of interacting Langevin particles
The behavior of the self diffusion constant of Langevin particles interacting
via a pairwise interaction is considered. The diffusion constant is calculated
approximately within a perturbation theory in the potential strength about the
bare diffusion constant. It is shown how this expansion leads to a systematic
double expansion in the inverse temperature and the particle density
. The one-loop diagrams in this expansion can be summed exactly and we
show that this result is exact in the limit of small and
constant. The one-loop result can also be re-summed using a
semi-phenomenological renormalization group method which has proved useful in
the study of diffusion in random media. In certain cases the renormalization
group calculation predicts the existence of a diverging relaxation time
signalled by the vanishing of the diffusion constant -- possible forms of
divergence coming from this approximation are discussed. Finally, at a more
quantitative level, the results are compared with numerical simulations, in
two-dimensions, of particles interacting via a soft potential recently used to
model the interaction between coiled polymers.Comment: 12 pages, 8 figures .ep
Exact Criterion for Determining Clustering vs. Reentrant Melting Behavior for Bounded Interaction Potentials
We examine in full generality the phase behavior of systems whose constituent
particles interact by means of potentials which do not diverge at the origin,
are free of attractive parts and decay fast enough to zero as the interparticle
separation r goes to infinity. By employing a mean field-density functional
theory which is shown to become exact at high temperatures and/or densities, we
establish a criterion which determines whether a given system will freeze at
all temperatures or it will display reentrant melting and an upper freezing
temperature.Comment: 5 pages, 3 figures, submitted to PRL on March 29, 2000 New version:
10 pages, 9 figures, forwarded to PRE on October 16, 200
An integral equation approach to effective interactions between polymers in solution
We use the thread model for linear chains of interacting monomers, and the
``polymer reference interaction site model'' (PRISM) formalism to determine the
monomer-monomer pair correlation function for dilute and
semi-dilute polymer solutions, over a range of temperatures from very high
(where the chains behave as self-avoiding walks) to below the
temperature, where phase separation sets in. An inversion procedure, based on
the HNC integral equation, is used to extract the effective pair potential
between ``average'' monomers on different chains. An accurate relation between
, [the pair correlation function between the polymer
centers of mass (c.m.)], and the intramolecular form factors is then used to
determine , and subsequently extract the effective c.m.-c.m. pair
potential by a similar inversion procedure. depends on
temperature and polymer concentration, and the predicted variations are in
reasonable agreement with recent simulation data, except at very high
temperatures, and below the temperature.Comment: 13 pages, 13 figures, revtex ; revised versio
Propagation Rate Coefficients of Styrene and Methyl Methacrylate in Supercritical CO 2
Cross-Chain Transfer Rate Constants of Styrene-Terminated Radicals to Methyl Acrylate and Methyl Methacrylate
Chain Length Dependent Termination in Pulsed-Laser Polymerization. 9. The Influence of Solvent on the Rate Coefficient of Bimolecular Termination in the Polymerization of Styrene
Zur Kinetik der spontanen und der gestarteten radikalischen Polymerisation von o-Chlorstyrol
Ein allgemeiner Formalismus zur Ableitung des Paarpotentials zwischen Polymerketten aus beliebigen Wechselwirkungspotentialen zwischen isolierten Segmenten am und nahe dem Theta-Punkt
Kinetics of the spontaneous free radical polymerization of styrene and its polymerization initiated by extremely low initiator concentrations
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