2,712 research outputs found
Hard hexagon partition function for complex fugacity
We study the analyticity of the partition function of the hard hexagon model
in the complex fugacity plane by computing zeros and transfer matrix
eigenvalues for large finite size systems. We find that the partition function
per site computed by Baxter in the thermodynamic limit for positive real values
of the fugacity is not sufficient to describe the analyticity in the full
complex fugacity plane. We also obtain a new algebraic equation for the low
density partition function per site.Comment: 49 pages, IoP styles files, lots of figures (png mostly) so using
PDFLaTeX. Some minor changes added to version 2 in response to referee
report
Integrability vs non-integrability: Hard hexagons and hard squares compared
In this paper we compare the integrable hard hexagon model with the
non-integrable hard squares model by means of partition function roots and
transfer matrix eigenvalues. We consider partition functions for toroidal,
cylindrical, and free-free boundary conditions up to sizes and
transfer matrices up to 30 sites. For all boundary conditions the hard squares
roots are seen to lie in a bounded area of the complex fugacity plane along
with the universal hard core line segment on the negative real fugacity axis.
The density of roots on this line segment matches the derivative of the phase
difference between the eigenvalues of largest (and equal) moduli and exhibits
much greater structure than the corresponding density of hard hexagons. We also
study the special point of hard squares where all eigenvalues have unit
modulus, and we give several conjectures for the value at of the
partition functions.Comment: 46 page
The Anatomy of Grey: A Theory of Interracial Convergence
This article offers a theory of racial identity divorced from biological considerations. Law fails to recognize the complexity of racial performance and identity, thus categorically simplifying a perceived polarity of black and white. Ground-breaking scholarship addressing racial boundaries, as written by Randall Kennedy, Elizabeth Bartholet, and Angela Onwauchi-Willig, generally focuses on the enduring legacy of race discrimination. We approach these boundaries from a different angle—whites who become “less white.” We bring together the challenges of passing and adoption to offer a theory of fluid racial boundaries.
Transracial adoption provides one viable channel to discuss the possibilities of white-to-black racial identity transformation. By confronting the meaning of white identity in relation to their black surroundings, adoptive parents may engage along a continuum of what we term “interracial convergence.” Parents who adopt transracially potentially face some of the pressures of being black in the United States. The Interethnic Placement Act forbids the consideration of race in adoption placements, but white adoptive parents nevertheless receive sharp criticism from black social workers for lacking the ability to teach “survival skills” necessary for the child’s racial identity development. We argue, alternatively, that it creates a grey space where racial convergers—adoptive parents and racial passers—can challenge the stability of racial boundaries
Deuterium on Venus: Observations from Earth
In view of the importance of the deuterium-to-hydrogen ratio in understanding the evolutionary scenario of planetary atmospheres and its relationship to understanding the evolution of our own Earth, we undertook a series of observations designed to resolve previous observational conflicts. We observed the dark side of Venus in the 2.3 micron spectral region in search of both H2O and HDO, which would provide us with the D/H ratio in Venus' atmosphere. We identified a large number of molecular lines in the region, belonging to both molecules, and, using synthetic spectral techniques, obtained mixing ratios of 34 plus or minus 10 ppm and 1.3 plus or minus 0.2 ppm for H2O and HDO, respectively. These mixing ratios yield a D/H ratio for Venus of D/H equals 1.9 plus or minus 0.6 times 10 (exp 12) and 120 plus or minus 40 times the telluric ratio. Although the detailed interpretation is difficult, our observations confirm that the Pioneer Venus Orbiter results and establish that indeed Venus had a period in its early history in which it was very wet, perhaps not unlike the early wet period that seems to have been present on Mars, and that, in contrast to Earth, lost much of its water over geologic time
Modeling affirmative and negated action processing in the brain with lexical and compositional semantic models
Holonomic functions of several complex variables and singularities of anisotropic Ising n-fold integrals
Lattice statistical mechanics, often provides a natural (holonomic) framework
to perform singularity analysis with several complex variables that would, in a
general mathematical framework, be too complex, or could not be defined.
Considering several Picard-Fuchs systems of two-variables "above" Calabi-Yau
ODEs, associated with double hypergeometric series, we show that holonomic
functions are actually a good framework for actually finding the singular
manifolds. We, then, analyse the singular algebraic varieties of the n-fold
integrals , corresponding to the decomposition of the magnetic
susceptibility of the anisotropic square Ising model. We revisit a set of
Nickelian singularities that turns out to be a two-parameter family of elliptic
curves. We then find a first set of non-Nickelian singularities for and , that also turns out to be rational or ellipic
curves. We underline the fact that these singular curves depend on the
anisotropy of the Ising model. We address, from a birational viewpoint, the
emergence of families of elliptic curves, and of Calabi-Yau manifolds on such
problems. We discuss the accumulation of these singular curves for the
non-holonomic anisotropic full susceptibility.Comment: 36 page
Processes of Change in Psychotherapy for Narcissistic Personality Disorder.
The present study aims at determining the role for outcome of potential processes of change in psychotherapy for narcissistic personality disorder (NPD). They were examined on three levels: the content, the process, and the relationship. A total of 161 patients suffering with NPD were recruited in a naturalistic setting as part of the present study. They underwent a long- term clarification-oriented psychotherapy. Sessions 15, 20, and 25 were video- or audio-recorded and analyzed with an observer-rated instrument that measures the quality of the interaction processes from the patient's and therapist's perspectives. Different self-report measures were used to assess therapy outcomes. In-session improvement was observed in both patient and therapist processes across sessions. Patient improvement in the three levels of processes was systematically related with outcome. Only partial relationships were found between therapist improvement and outcome. The present study represents the first systematic insight into core changes in patients with NPD undergoing psychotherapy
Placement of metallic biliary endoprostheses in complex hilar tumours
AbstractPurposeTo assess the technical success, clinical success and complications after 1 month of percutaneous biliary drainage with the placement of several metallic endoprostheses in complex hilar liver tumours.Materials and methodsThis is a retrospective study, on a homogenous target population of 68 consecutive patients, who underwent multiple percutaneous biliary drainage for complex hilar tumour (Bismuth type II, III and IV) between August 1998 and August 2010. Patients benefiting from previous endoscopic drainage were excluded from the study. The clinical data, biological data, imaging and interventional radiology procedures were studied.ResultsThe rate of success of the technique was 98.5% and the clinical rate of success was 84% after 1 week and 93% after 1 month. The rate of minor and major complications was 25 and 13% respectively.ConclusionMultiple percutaneous biliary drainage in complex hilar tumour is a safe and effective first intention procedure
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