7,992 research outputs found
Abundant stable gauge field hair for black holes in anti-de sitter space
We present new hairy black hole solutions of SU(N) Einstein-Yang-Mills (EYM) theory in asymptotically antiâde Sitter (AdS) space. These black holes are described by N+1 independent parameters and have N-1 independent gauge field degrees of freedom. Solutions in which all gauge field functions have no zeros exist for all N, and for a sufficiently large (and negative) cosmological constant. At least some of these solutions are shown to be stable under classical, linear, spherically symmetric perturbations. Therefore there is no upper bound on the amount of stable gauge field hair with which a black hole in AdS can be endowed
Critical and Tricritical Hard Objects on Bicolorable Random Lattices: Exact Solutions
We address the general problem of hard objects on random lattices, and
emphasize the crucial role played by the colorability of the lattices to ensure
the existence of a crystallization transition. We first solve explicitly the
naive (colorless) random-lattice version of the hard-square model and find that
the only matter critical point is the non-unitary Lee-Yang edge singularity. We
then show how to restore the crystallization transition of the hard-square
model by considering the same model on bicolored random lattices. Solving this
model exactly, we show moreover that the crystallization transition point lies
in the universality class of the Ising model coupled to 2D quantum gravity. We
finally extend our analysis to a new two-particle exclusion model, whose
regular lattice version involves hard squares of two different sizes. The exact
solution of this model on bicolorable random lattices displays a phase diagram
with two (continuous and discontinuous) crystallization transition lines
meeting at a higher order critical point, in the universality class of the
tricritical Ising model coupled to 2D quantum gravity.Comment: 48 pages, 13 figures, tex, harvmac, eps
Interpenetration as a Mechanism for Liquid-Liquid Phase Transitions
We study simple lattice systems to demonstrate the influence of
interpenetrating bond networks on phase behavior. We promote interpenetration
by using a Hamiltonian with a weakly repulsive interaction with nearest
neighbors and an attractive interaction with second-nearest neighbors. In this
way, bond networks will form between second-nearest neighbors, allowing for two
(locally) distinct networks to form. We obtain the phase behavior from analytic
solution in the mean-field approximation and exact solution on the Bethe
lattice. We compare these results with exact numerical results for the phase
behavior from grand canonical Monte Carlo simulations on square, cubic, and
tetrahedral lattices. All results show that these simple systems exhibit rich
phase diagrams with two fluid-fluid critical points and three thermodynamically
distinct phases. We also consider including third-nearest-neighbor
interactions, which give rise to a phase diagram with four critical points and
five thermodynamically distinct phases. Thus the interpenetration mechanism
provides a simple route to generate multiple liquid phases in single-component
systems, such as hypothesized in water and observed in several model and
experimental systems. Additionally, interpenetration of many such networks
appears plausible in a recently considered material made from nanoparticles
functionalized by single strands of DNA.Comment: 12 pages, 9 figures, submitted to Phys. Rev.
Fisher Zeroes and Singular Behaviour of the Two Dimensional Potts Model in the Thermodynamic Limit
The duality transformation is applied to the Fisher zeroes near the
ferromagnetic critical point in the q>4 state two dimensional Potts model. A
requirement that the locus of the duals of the zeroes be identical to the dual
of the locus of zeroes in the thermodynamic limit (i) recovers the ratio of
specific heat to internal energy discontinuity at criticality and the
relationships between the discontinuities of higher cumulants and (ii)
identifies duality with complex conjugation. Conjecturing that all zeroes
governing ferromagnetic singular behaviour satisfy the latter requirement gives
the full locus of such Fisher zeroes to be a circle. This locus, together with
the density of zeroes is then shown to be sufficient to recover the singular
form of the thermodynamic functions in the thermodynamic limit.Comment: 10 pages, 0 figures, LaTeX. Paper expanded and 2 references added
clarifying duality relationships between discontinuities in higher cumulant
Formation of a large, complex domain of histone hyperacetylation at human 14q32.1 requires the serpin locus control region
The human serine protease inhibitor (serpin) gene cluster at 14q32.1 is a useful model system to study cell-type-specific gene expression and chromatin structure. Activation of the serpin locus can be induced in vitro by transferring human chromosome 14 from non-expressing to expressing cells. Serpin gene activation in expressing cells is correlated with locus-wide alterations in chromatin structure, including the de novo formation of 17 expression-associated DNase I-hypersensitive sites (DHSs). In this study, we investigated histone acetylation throughout the proximal serpin subcluster. We report that gene activation is correlated with high levels of histone H3 and H4 acetylation at serpin gene promoters and other regulatory regions. However, the locus is not uniformly hyperacetylated, as there are regions of hypoacetylation between genes. Furthermore, genetic tests indicate that locus-wide controls regulate both gene expression and chromatin structure. For example, deletion of a previously identified serpin locus control region (LCR) upstream of the proximal subcluster reduces both gene expression and histone acetylation throughout the âŒ130 kb region. A similar down regulation phenotype is displayed by transactivator-deficient cell variants, but this phenotype can be rescued by transfecting the cells with expression cassettes encoding hepatocyte nuclear factor-1α (HNF-1α) or HNF-4. Taken together, these results suggest that histone acetylation depends on interactions between the HNF-1α/HNF-4 signaling cascade and the serpin LCR
Perfection of materials technology for producing improved Gunn-effect devices
Chemical vapor deposition system for improved Gunn effect devices using arsenic chloride 3 metho
Combinatorics of bicubic maps with hard particles
We present a purely combinatorial solution of the problem of enumerating
planar bicubic maps with hard particles. This is done by use of a bijection
with a particular class of blossom trees with particles, obtained by an
appropriate cutting of the maps. Although these trees have no simple local
characterization, we prove that their enumeration may be performed upon
introducing a larger class of "admissible" trees with possibly doubly-occupied
edges and summing them with appropriate signed weights. The proof relies on an
extension of the cutting procedure allowing for the presence on the maps of
special non-sectile edges. The admissible trees are characterized by simple
local rules, allowing eventually for an exact enumeration of planar bicubic
maps with hard particles. We also discuss generalizations for maps with
particles subject to more general exclusion rules and show how to re-derive the
enumeration of quartic maps with Ising spins in the present framework of
admissible trees. We finally comment on a possible interpretation in terms of
branching processes.Comment: 41 pages, 19 figures, tex, lanlmac, hyperbasics, epsf. Introduction
and discussion/conclusion extended, minor corrections, references adde
Extended surface disorder in the quantum Ising chain
We consider random extended surface perturbations in the transverse field
Ising model decaying as a power of the distance from the surface towards a pure
bulk system. The decay may be linked either to the evolution of the couplings
or to their probabilities. Using scaling arguments, we develop a
relevance-irrelevance criterion for such perturbations. We study the
probability distribution of the surface magnetization, its average and typical
critical behaviour for marginal and relevant perturbations. According to
analytical results, the surface magnetization follows a log-normal distribution
and both the average and typical critical behaviours are characterized by
power-law singularities with continuously varying exponents in the marginal
case and essential singularities in the relevant case. For enhanced average
local couplings, the transition becomes first order with a nonvanishing
critical surface magnetization. This occurs above a positive threshold value of
the perturbation amplitude in the marginal case.Comment: 15 pages, 10 figures, Plain TeX. J. Phys. A (accepted
Critical behavior at the interface between two systems belonging to different universality classes
We consider the critical behavior at an interface which separates two
semi-infinite subsystems belonging to different universality classes, thus
having different set of critical exponents, but having a common transition
temperature. We solve this problem analytically in the frame of mean-field
theory, which is then generalized using phenomenological scaling
considerations. A large variety of interface critical behavior is obtained
which is checked numerically on the example of two-dimensional q-state Potts
models with q=2 to 4. Weak interface couplings are generally irrelevant,
resulting in the same critical behavior at the interface as for a free surface.
With strong interface couplings, the interface remains ordered at the bulk
transition temperature. More interesting is the intermediate situation, the
special interface transition, when the critical behavior at the interface
involves new critical exponents, which however can be expressed in terms of the
bulk and surface exponents of the two subsystems. We discuss also the smooth or
discontinuous nature of the order parameter profile.Comment: 16 pages, 9 figures, published version, minor changes, some
references adde
QKZ equation with |q|=1 and correlation functions of the XXZ model in the gapless regime
An integral solution to the quantum Knizhnik-Zamolodchikov (KZ) equation
with is presented. Upon specialization, it leads to a conjectural
formula for correlation functions of the XXZ model in the gapless regime. The
validity of this conjecture is verified in special cases, including the nearest
neighbor correlator with an arbitrary coupling constant, and general
correlators in the XXX and XY limits
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