1,788 research outputs found
Mean First Passage Time in Periodic Attractors
The properties of the mean first passage time in a system characterized by
multiple periodic attractors are studied. Using a transformation from a high
dimensional space to 1D, the problem is reduced to a stochastic process along
the path from the fixed point attractor to a saddle point located between two
neighboring attractors. It is found that the time to switch between attractors
depends on the effective size of the attractors, , the noise, ,
and the potential difference between the attractor and an adjacent saddle point
as: ; the
ratio between the sizes of the two attractors affects . The
result is obtained analytically for small and confirmed by numerical
simulations. Possible implications that may arise from the model and results
are discussed.Comment: 14 pages, 3 figures, submitted to journal of physics
The shape of axisymmetric rotating fluid
AbstractThe equations for axisymmetric self-gravitating rotating fluid have been studied extensively since Poincaré. The model derives its primary interest from celestial mechanics, where it can be used to study the geometry of stars and planets. Existence of a solution for both the compressible and the incompressible cases is known. The smoothness of the boundary of the fluid is studied, and, in particular, it is proved that the rotating fluid has at most a finite number of rings
Negative Dimensions of Identity: A Research Agenda for Law and Public Policy
Legal scholarship has long concerned itself with race, gender, and other core identities. Economics, and law and economics, is now turning its attention to other dimensions of identity. What is identity? Identity is a person\u27s sense of self. \u27 Identity has genetic, cultural and neural bases grounded in an evolutionary process.\u27 Identity helps individuals make sense of themselves and provides a feeling of grounding or belonging. There are many potential identity dimensions, including gender, facial features, and height, as well as religion, ethnicity, social-group affiliation, sports-team loyalty, family, profession, artistic preferences, culinary preferences, and place of origin. The significance of different dimensions varies across individuals; some people derive a stronger sense of identity from their religion, others from their sports team fanship, others from their occupation, and so on
Giraffes, Institutions and Neglected Firms
Certain securities - in particular, those of small capitalization firms - are generally unsuited to the investment requirements of financial institutions, hence attract minimal coverage by analysts. As a result, these securities may offer a premium as a compensation for associated information deficiencies and/or because pricing inefficiencies exist as a result of the lack of information.
An analysis of 510 firms over a 10-year period indicates that the shares of those firms neglected by institutions outperform significantly the shares of firms widely held by institutions. The superior performance persists over and above any small firm effect ; that is, both small and medium-sized neglected firms exhibit superior performance. The neglected firm effect suggests some potentially rewarding investment strategies for individuals and institutions alike
Monte Carlo simulations of pulse propagation in massive multichannel optical fiber communication systems
We study the combined effect of delayed Raman response and bit pattern
randomness on pulse propagation in massive multichannel optical fiber
communication systems. The propagation is described by a perturbed stochastic
nonlinear Schr\"odinger equation, which takes into account changes in pulse
amplitude and frequency as well as emission of continuous radiation. We perform
extensive numerical simulations with the model, and analyze the dynamics of the
frequency moments, the bit-error-rate, and the mutual distribution of amplitude
and position. The results of our numerical simulations are in good agreement
with theoretical predictions based on the adiabatic perturbation approach.Comment: Submitted to Physical Review E. 8 pages, 5 figure
Model of ionic currents through microtubule nanopores and the lumen
It has been suggested that microtubules and other cytoskeletal filaments may
act as electrical transmission lines. An electrical circuit model of the
microtubule is constructed incorporating features of its cylindrical structure
with nanopores in its walls. This model is used to study how ionic conductance
along the lumen is affected by flux through the nanopores when an external
potential is applied across its two ends. Based on the results of Brownian
dynamics simulations, the nanopores were found to have asymmetric inner and
outer conductances, manifested as nonlinear IV curves. Our simulations indicate
that a combination of this asymmetry and an internal voltage source arising
from the motion of the C-terminal tails causes a net current to be pumped
across the microtubule wall and propagate down the microtubule through the
lumen. This effect is demonstrated to enhance and add directly to the
longitudinal current through the lumen resulting from an external voltage
source, and could be significant in amplifying low-intensity endogenous
currents within the cellular environment or as a nano-bioelectronic device.Comment: 43 pages, 6 figures, revised versio
Global Stability of a Premixed Reaction Zone (Time-Dependent Liñan’s Problem)
Global stability properties of a premixed, three-dimensional reaction zone are considered. In the nonadiabatic case (i.e., when there is a heat exchange between the reaction zone and the burned gases) there is a unique, spatially one-dimensional steady state that is shown to be unstable (respectively, asymptotically stable) if the reaction zone is cooled (respectively, heated) by the burned mixture. In the adiabatic case, there is a unique (up to spatial translations) steady state that is shown to be stable. In addition, the large-time asymptotic behavior of the solution is analyzed to obtain sufficient conditions on the initial data for stabilization. Previous partial numerical results on linear stability of one-dimensional reaction zones are thereby confirmed and extended
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