11,531 research outputs found
Collisions of boosted black holes: perturbation theory prediction of gravitational radiation
We consider general relativistic Cauchy data representing two nonspinning,
equal-mass black holes boosted toward each other. When the black holes are
close enough to each other and their momentum is sufficiently high, an
encompassing apparent horizon is present so the system can be viewed as a
single, perturbed black hole. We employ gauge-invariant perturbation theory,
and integrate the Zerilli equation to analyze these time-asymmetric data sets
and compute gravitational wave forms and emitted energies. When coupled with a
simple Newtonian analysis of the infall trajectory, we find striking agreement
between the perturbation calculation of emitted energies and the results of
fully general relativistic numerical simulations of time-symmetric initial
data.Comment: 5 pages (RevTex 3.0 with 3 uuencoded figures), CRSR-107
Quantum limited particle sensing in optical tweezers
Particle sensing in optical tweezers systems provides information on the
position, velocity and force of the specimen particles. The conventional
quadrant detection scheme is applied ubiquitously in optical tweezers
experiments to quantify these parameters. In this paper we show that quadrant
detection is non-optimal for particle sensing in optical tweezers and propose
an alternative optimal particle sensing scheme based on spatial homodyne
detection. A formalism for particle sensing in terms of transverse spatial
modes is developed and numerical simulations of the efficacy of both quadrant
and spatial homodyne detection are shown. We demonstrate that an order of
magnitude improvement in particle sensing sensitivity can be achieved using
spatial homodyne over quadrant detection.Comment: Submitted to Biophys
Entropy and the variational principle for actions of sofic groups
Recently Lewis Bowen introduced a notion of entropy for measure-preserving
actions of a countable sofic group on a standard probability space admitting a
generating partition with finite entropy. By applying an operator algebra
perspective we develop a more general approach to sofic entropy which produces
both measure and topological dynamical invariants, and we establish the
variational principle in this context. In the case of residually finite groups
we use the variational principle to compute the topological entropy of
principal algebraic actions whose defining group ring element is invertible in
the full group C*-algebra.Comment: 44 pages; minor changes; to appear in Invent. Mat
EFFECTS OF DORSIFLEXION ON ENERGY EXPENDITURE DURING CROSS·COUNTRY SKIING USING THE V1 SKATE TECHNIQUE
Competitive cross-country skiing involves race events of different
distances conducted over natural terrain. The primary objective of the skier is to cover the race distance as quickly as possible. This requires the athlete to achieve a high speed to energy expenditure ratio while maintaining physiological strain within tolerable limits. Thus, the influence of various mechanical techniques of skiing on energy expenditure and physiological strain is of interest to skiers. There has been interest concerning the possible effects of various joint angles on skiing techniques (Smith, 1992). More specifically, ankle flexion seems to play some role in reducing the abovementioned speed to energy expenditure ratio. An increase in dorsiflexion may be reflective of a more forward center of mass position and a degree of force oriented downward and rearward onto the ski. A portion of this force may be propulsive. As a result, increased dorsiflexion may provide lower oxygen demands for a given velocity of movement. The purpose of this study was to examine whether oxygen uptake and energy expenditure vary with different degrees of ankle dorsiflexion during the V1 skating technique. A second objective was to determine if a degree exists where dorsiflexion does not influence energy expenditure during the V1 skating technique
Finite temperature bosonization
Finite temperature properties of a non-Fermi liquid system is one of the most
challenging probelms in current understanding of strongly correlated electron
systems. The paradigmatic arena for studying non-Fermi liquids is in one
dimension, where the concept of a Luttinger liquid has arisen. The existence of
a critical point at zero temperature in one dimensional systems, and the fact
that experiments are all undertaken at finite temperature, implies a need for
these one dimensional systems to be examined at finite temperature.
Accordingly, we extended the well-known bosonization method of one dimensional
electron systems to finite temperatures. We have used this new bosonization
method to calculate finite temperature asymptotic correlation functions for
linear fermions, the Tomonaga-Luttinger model, and the Hubbard model.Comment: REVTex, 48 page
Finite type approximations of Gibbs measures on sofic subshifts
Consider a H\"older continuous potential defined on the full shift
A^\nn, where is a finite alphabet. Let X\subset A^\nn be a specified
sofic subshift. It is well-known that there is a unique Gibbs measure
on associated to . Besides, there is a natural nested
sequence of subshifts of finite type converging to the sofic subshift
. To this sequence we can associate a sequence of Gibbs measures
. In this paper, we prove that these measures weakly converge
at exponential speed to (in the classical distance metrizing weak
topology). We also establish a strong mixing property (ensuring weak
Bernoullicity) of . Finally, we prove that the measure-theoretic
entropy of converges to the one of exponentially fast.
We indicate how to extend our results to more general subshifts and potentials.
We stress that we use basic algebraic tools (contractive properties of iterated
matrices) and symbolic dynamics.Comment: 18 pages, no figure
Black Hole-Neutron Star Binaries in General Relativity: Quasiequilibrium Formulation
We present a new numerical method for the construction of quasiequilibrium
models of black hole-neutron star binaries. We solve the constraint equations
of general relativity, decomposed in the conformal thin-sandwich formalism,
together with the Euler equation for the neutron star matter. We take the
system to be stationary in a corotating frame and thereby assume the presence
of a helical Killing vector. We solve these coupled equations in the background
metric of a Kerr-Schild black hole, which accounts for the neutron star's black
hole companion. In this paper we adopt a polytropic equation of state for the
neutron star matter and assume large black hole--to--neutron star mass ratios.
These simplifications allow us to focus on the construction of quasiequilibrium
neutron star models in the presence of strong-field, black hole companions. We
summarize the results of several code tests, compare with Newtonian models, and
locate the onset of tidal disruption in a fully relativistic framework.Comment: 17 pages, 7 figures; added discussion, tables; PRD in pres
Fluid/solid transition in a hard-core system
We prove that a system of particles in the plane, interacting only with a
certain hard-core constraint, undergoes a fluid/solid phase transition
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