19,755 research outputs found
Central Schemes for Porous Media Flows
We are concerned with central differencing schemes for solving scalar
hyperbolic conservation laws arising in the simulation of multiphase flows in
heterogeneous porous media. We compare the Kurganov-Tadmor, 2000 semi-discrete
central scheme with the Nessyahu-Tadmor, 1990 central scheme. The KT scheme
uses more precise information about the local speeds of propagation together
with integration over nonuniform control volumes, which contain the Riemann
fans. These methods can accurately resolve sharp fronts in the fluid
saturations without introducing spurious oscillations or excessive numerical
diffusion. We first discuss the coupling of these methods with velocity fields
approximated by mixed finite elements. Then, numerical simulations are
presented for two-phase, two-dimensional flow problems in multi-scale
heterogeneous petroleum reservoirs. We find the KT scheme to be considerably
less diffusive, particularly in the presence of high permeability flow
channels, which lead to strong restrictions on the time step selection;
however, the KT scheme may produce incorrect boundary behavior
Parity doublers in chiral potential quark models
The effect of spontaneous breaking of chiral symmetry over the spectrum of
highly excited hadrons is addressed in the framework of a microscopic chiral
potential quark model (Generalised Nambu-Jona-Lasinio model) with a vectorial
instantaneous quark kernel of a generic form. A heavy-light quark-antiquark
bound system is considered, as an example, and the Lorentz nature of the
effective light-quark potential is identified to be a pure Lorentz-scalar, for
low-lying states in the spectrum, and to become a pure spatial Lorentz vector,
for highly excited states. Consequently, the splitting between the partners in
chiral doublets is demonstrated to decrease fast in the upper part of the
spectrum so that neighboring states of an opposite parity become almost
degenerate. A detailed microscopic picture of such a "chiral symmetry
restoration" in the spectrum of highly excited hadrons is drawn and the
corresponding scale of restoration is estimated.Comment: LaTeX2e, 4 pages, uses aipproc class, Talk given by A.Nefediev at the
conference "Quark Confinement and the Hadron Spectrum VII", 2-7 September
2006, Acores, Portugal, to appear in Proceeding
Confinement and parity doubling in heavy-light mesons
In this paper, we study the chiral symmetry restoration in the hadronic
spectrum in the framework of generalised Nambu-Jona-Lasinio quark models with
instantaneous confining quark kernels. We investigate a heavy-light quarkonium
and derive its bound-state equation in the form of a Schroedingerlike equation
and, after the exact inverse Foldy-Wouthuysen transformation, in the form of a
Diraclike quation. We discuss the Lorentz nature of confinement for such a
system and demonstrate explicitly the effective chiral symmetry restoration for
highly excited states in the mesonic spectrum. We give an estimate for the
scale of this restoration.Comment: RevTeX4, 21 pages, 6 Postscript figures, uses epsfig.sty, to appear
in Phys.Rev.
Mutual information in random Boolean models of regulatory networks
The amount of mutual information contained in time series of two elements
gives a measure of how well their activities are coordinated. In a large,
complex network of interacting elements, such as a genetic regulatory network
within a cell, the average of the mutual information over all pairs is a
global measure of how well the system can coordinate its internal dynamics. We
study this average pairwise mutual information in random Boolean networks
(RBNs) as a function of the distribution of Boolean rules implemented at each
element, assuming that the links in the network are randomly placed. Efficient
numerical methods for calculating show that as the number of network nodes
N approaches infinity, the quantity N exhibits a discontinuity at parameter
values corresponding to critical RBNs. For finite systems it peaks near the
critical value, but slightly in the disordered regime for typical parameter
variations. The source of high values of N is the indirect correlations
between pairs of elements from different long chains with a common starting
point. The contribution from pairs that are directly linked approaches zero for
critical networks and peaks deep in the disordered regime.Comment: 11 pages, 6 figures; Minor revisions for clarity and figure format,
one reference adde
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