10,359 research outputs found
Trends to equilibrium for a class of relativistic diffusions
We address the question of the trends to equilibrium for a large class C of
relativistic diffusions. We show the existence of a spectral gap using the
Lyapounov method and deduce the exponential decay of the distance to
equilibrium in L2-norm and in total variation. A similar result was obtained
recently in arXiv:1009.5086 for a particular process of the class C.Comment: 10 page
Ambiguity and Social Interaction
We present a non-technical account of ambiguity in strategic games and show how it may be applied to economics and social sciences. Optimistic and pessimistic responses to ambiguity are formally modelled. We show that pessimism has the effect of increasing (decreasing) equilibrium prices under Cournot (Bertrand) competition. In addition the effects of ambiguity on peace-making are examined. It is shown that ambiguity may select equilibria in coordination games with multiple equilibria. Some comparative statics results are derived for the impact of ambiguity in games with strategic complements
Nonmonotonic charge occupation in double dots
We study the occupation of two electrostatically-coupled single-level quantum
dots with spinless electrons as a function of gate voltage. While the total
occupation of the double-dot system varies monotonically with gate voltage, we
predict that the competition between tunneling and Coulomb interaction can give
rise to a nonmonotonic filling of the individual quantum dots. This
non-monotonicity is a signature of the correlated nature of the many-body
wavefunction in the reduced Hilbert space of the dots. We identify two
mechanisms for this nonmonotonic behavior, which are associated with changes in
the spectral weights and the positions, respectively, of the excitation spectra
of the individual quantum dots. An experimental setup to test these predictions
is proposed.Comment: 4 pages, 5 figure
Metamagnetic phase transition of the antiferromagnetic Heisenberg icosahedron
The observation of hysteresis effects in single molecule magnets like
Mn-acetate has initiated ideas of future applications in storage
technology. The appearance of a hysteresis loop in such compounds is an outcome
of their magnetic anisotropy. In this Letter we report that magnetic hysteresis
occurs in a spin system without any anisotropy, specifically, where spins
mounted on the vertices of an icosahedron are coupled by antiferromagnetic
isotropic nearest-neighbor Heisenberg interaction giving rise to geometric
frustration. At T=0 this system undergoes a first order metamagnetic phase
transition at a critical field \Bcrit between two distinct families of ground
state configurations. The metastable phase of the system is characterized by a
temperature and field dependent survival probability distribution.Comment: 4 pages, 4 figures, submitted to Physical Review Letter
Cosmological implications of a Dark Matter self-interaction energy density
We investigate cosmological constraints on an energy density contribution of
elastic dark matter self-interactions characterized by the mass of the exchange
particle and coupling constant. Because of the expansion behaviour in a
Robertson-Walker metric we investigate self-interacting dark matter that is
warm in the case of thermal relics. The scaling behaviour of dark matter
self-interaction energy density shows that it can be the dominant contribution
(only) in the very early universe. Thus its impact on primordial
nucleosynthesis is used to restrict the interaction strength, which we find to
be at least as strong as the strong interaction. Furthermore we explore dark
matter decoupling in a self-interaction dominated universe, which is done for
the self-interacting warm dark matter as well as for collisionless cold dark
matter in a two component scenario. We find that strong dark matter
self-interactions do not contradict super-weak inelastic interactions between
self-interacting dark matter and baryonic matter and that the natural scale of
collisionless cold dark matter decoupling exceeds the weak scale and depends
linearly on the particle mass. Finally structure formation analysis reveals a
linear growing solution during self-interaction domination; however, only
non-cosmological scales are enhanced.Comment: 14 pages, 14 figures; version published in Phys. Rev.
Shape reconstruction from gradient data
We present a novel method for reconstructing the shape of an object from
measured gradient data. A certain class of optical sensors does not measure the
shape of an object, but its local slope. These sensors display several
advantages, including high information efficiency, sensitivity, and robustness.
For many applications, however, it is necessary to acquire the shape, which
must be calculated from the slopes by numerical integration. Existing
integration techniques show drawbacks that render them unusable in many cases.
Our method is based on approximation employing radial basis functions. It can
be applied to irregularly sampled, noisy, and incomplete data, and it
reconstructs surfaces both locally and globally with high accuracy.Comment: 16 pages, 5 figures, zip-file, submitted to Applied Optic
Effects of haloperidol and atypical neuroleptics on psychomotor performance and driving ability in schizophrenic patients - Results from an experimental study
The influence of antipsychotic treatment on the neuropsychological and psychomotor performance of schizophrenic patients is still a subject of investigation. The present study was designed to evaluate the effects of atypical neuroleptics in comparison with a conventional dopamine antagonist neuroleptic (haloperidol) on several dimensions of psychomotor performance (visual perception, attention, reaction time, and sensorimotor performance) considered to be of relevance in evaluating driving fitness. Psychomotor performance was assessed by means of the ART 90, a computerized Act and React Test which is generally used in diagnosis of psychomotor performance. The 49 participating patients were examined at discharge following psychopathological stabilisation; 20 received haloperidol, 29 received an atypical neuroleptic. Our findings demonstrate a remarkably reduced psychomotor performance in the haloperidol-treated group of schizophrenic patients compared with patients treated with atypical neuroleptics. Only 1 (5%) subject passed all subtests without major failures and could be regarded as competent to drive. Among patients with atypical neuroleptics, 7 patients (24%) passed all test parameters without major failures. Copyright (C) 2003 S. Karger AG, Basel
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