2,030 research outputs found
Universal Formulae for Percolation Thresholds
A power law is postulated for both site and bond percolation thresholds. The
formula writes , where is the space
dimension and the coordination number. All thresholds up to are found to belong to only three universality classes. For first two
classes for site dilution while for bond dilution. The last one
associated to high dimensions is characterized by for both sites and
bonds. Classes are defined by a set of value for . Deviations
from available numerical estimates at are within and
for high dimensional hypercubic expansions at . The
formula is found to be also valid for Ising critical temperatures.Comment: 11 pages, latex, 3 figures not include
Critical Exponent for the Density of Percolating Flux
This paper is a study of some of the critical properties of a simple model
for flux. The model is motivated by gauge theory and is equivalent to the Ising
model in three dimensions. The phase with condensed flux is studied. This is
the ordered phase of the Ising model and the high temperature, deconfined phase
of the gauge theory. The flux picture will be used in this phase. Near the
transition, the density is low enough so that flux variables remain useful.
There is a finite density of finite flux clusters on both sides of the phase
transition. In the deconfined phase, there is also an infinite, percolating
network of flux with a density that vanishes as . On
both sides of the critical point, the nonanalyticity in the total flux density
is characterized by the exponent . The main result of this paper is
a calculation of the critical exponent for the percolating network. The
exponent for the density of the percolating cluster is . The specific heat exponent and the crossover exponent
can be computed in the -expansion. Since , the variation in the separate densities is much more rapid than
that of the total. Flux is moving from the infinite cluster to the finite
clusters much more rapidly than the total density is decreasing.Comment: 20 pages, no figures, Latex/Revtex 3, UCD-93-2
Microscopic analysis of multipole susceptibility of actinide dioxides: A scenario of multipole ordering in AmO
By evaluating multipole susceptibility of a seven-orbital impurity Anderson
model with the use of a numerical renormalization group method, we discuss
possible multipole states of actinide dioxides at low temperatures. In
particular, here we point out a possible scenario for multipole ordering in
americium dioxide. For Am ion with five electrons, it is considered
that the ground state is doublet and the first excited state is
quartet, but we remark that the ground state is easily
converted due to the competition between spin-orbit coupling and Coulomb
interactions. Then, we find that the quartet can be the ground
state of AmO even for the same crystalline electric field potential. In the
case of quartet ground state, the numerical results suggest that
high-order multipoles such as quadrupole and octupole can be relevant to
AmO.Comment: 8 pages, 4 figures. To appear in Phys. Rev.
Parents' involvement in child care: do parental and work identities matter?
The current study draws on identity theory to explore mothers' and fathers' involvement in childcare. It examined the relationships between the salience and centrality of individuals’ parental and work-related identities and the extent to which they are involved in various forms of childcare. A sample of 148 couples with at least one child aged 6 years or younger completed extensive questionnaires. As hypothesized, the salience and centrality of parental identities were positively related to mothers' and fathers' involvement in childcare. Moreover, maternal identity salience was negatively related to fathers' hours of childcare and share of childcare tasks. Finally, work hours mediated the negative relationships between the centrality of work identities and time invested in childcare, and gender moderated this mediation effect. That is, the more central a mother's work identity, the more hours she worked for pay and the fewer hours she invested in childcare. These findings shed light on the role of parental identities in guiding behavioral choices, and attest to the importance of distinguishing between identity salience and centrality as two components of self-structure
Probabilistic Analysis of Power Network Susceptibility to GICs
As reliance on power networks has increased over the last century, the risk
of damage from geomagnetically induced currents (GICs) has become a concern to
utilities. The current state of the art in GIC modelling requires significant
geophysical modelling and a theoretically derived network response, but has
limited empirical validation. In this work, we introduce a probabilistic
engineering step between the measured geomagnetic field and GICs, without
needing data about the power system topology or the ground conductivity
profiles. The resulting empirical ensembles are used to analyse the TVA network
(south-eastern USA) in terms of peak and cumulative exposure to 5 moderate to
intense geomagnetic storms. Multiple nodes are ranked according to
susceptibility and the measured response of the total TVA network is further
calibrated to existing extreme value models. The probabilistic engineering step
presented can complement present approaches, being particularly useful for risk
assessment of existing transformers and power systems.Comment: 6 pages, 7 figures, accepted for PMAPS 202
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