The Bruggeman formalism provides an estimate of the effective permittivity of a particulate composite medium comprising two component mediums. The Bruggeman estimate is required to lie within the Wiener bounds and the Hashin–Shtrikman bounds. Considering the homogenization of weakly dissipative component mediums characterized by relative permittivities with real parts of opposite signs, we show...

Across 6 studies, Whites expressed more negative attitudes toward strongly identified racial minorities than toward weakly identified minorities. Whites who personally endorsed worldviews that legitimize the status hierarchy were particularly likely to express negative attitudes toward strongly identified minorities relative to weakly identified minorities, whereas Whites who personally rejecte...

We propose numerical simulations of the Ashkin-Teller model as a foil for theoretical techniques for studying very weakly first-order phase transitions in three dimensions. The Ashkin-Teller model is a simple two-spin model whose parameters can be adjusted so that it has an arbitrarily weakly first-order phase transition. In this limit, there are quantities characterizing the firstorder transit...

Recent studies have considered modifications to the standard weakly interacting massive particle scenario in which the pair annihilation cross section (times relative velocity v) is enhanced by a factor 1/upsilon to approximately 10(-3) in the Galaxy, enough to explain several puzzling Galactic radiation signals. We show that in these scenarios a burst of weakly interacting massive particle ann...

The Bergman–Milton bounds provide limits on the effective permittivity of a composite material comprising two isotropic dielectric materials. We demonstrate that the usefulness of these bounds is restricted to certain parameter ranges. Specifically, (a) for nondissipative materials the bounds may be unlimited if the constituent materials have relative permittivities of opposite signs; (b) for w...

The cubic anisotropy model provides a simple example of a system with an arbitrarily weak first-order phase transition. We present an analysis of this model using ǫ-expansion techniques with results up to next-to-next-to-leading order in ǫ. Specifically, we compute the relative discontinuity of various physical quantities across the transition in the limit that the transition becomes arbitraril...

The medial entorhinal cortex (MEC) and the adjacent parasubiculum are known for their elaborate spatial discharges (grid cells, border cells, etc.) and the precessing of spikes relative to the local field potential. We know little, however, about how spatio-temporal firing patterns map onto cell types. We find that cell type is a major determinant of spatio-temporal discharge properties. Parasu...

We prove that the mapping torus group Fn ⋊α Z of any automorphism α of a free group Fn of finite rank n ≥ 2 is weakly hyperbolic relative to the canonical (up to conjugation) family H(α) of subgroups of Fn which consists of (and contains representatives of all) conjugacy classes that grow polynomially under iteration of α. Furthermore, we show that Fn ⋊α Z is strongly hyperbolic relative to the...

We consider nonresonant and weakly resonant Hopf bifurcation from periodic solutions and relative periodic solutions in dynamical systems with symmetry. In particular, we analyse phase-locking and irrational torus flows on the bifurcating relative tori. Results are obtained for systems with compact and noncompact symmetry group. In the noncompact case, we distinguish between bounded and unbound...

We study the phase sensitivity of collisional phase diffusion between weakly coupled Bose-Einstein condensates, using a semiclassical picture of the two-mode Bose-Hubbard model. When weak coupling is allowed, zero relative phase locking is attained in the Josephson-Fock transition regime, whereas a pi relative phase is only locked in Rabi-Josephson point. Our analytic semiclassical estimates ag...