67,606 research outputs found
Solvable Lattice Gas Models with Three Phases
Phase boundaries in p-T and p-V diagrams are essential in material science
researches. Exact analytic knowledge about such phase boundaries are known so
far only in two-dimensional (2D) Ising-like models, and only for cases with two
phases. In the present paper we present several lattice gas models, some with
three phases. The phase boundaries are either analytically calculated or
exactly evaluated.Comment: 5 pages, 6 figure
Quark Coalescence with Quark Number Conservation and the Effect on Quark-Hadron Scaling
We develop a new formulation of the quark coalescence model by including the
quark number conservation in order to describe the hadronization of the bulk of
the quark-gluon plasma. The scalings between hadron and quark phase space
distributions are shown to depend on the transverse momentum. For hard quarks,
our general scalings reproduce the usual quadratic scaling relation for mesons
and the cubic scaling relation for baryons. For softer quarks, however, the
inclusion of the quark number conservation leads to a linear scaling for the
hadron species that dominates the quark number of each flavor, while the
scalings of non-dominant hadrons depend on the coalescence dynamics. For charm
mesons, we find that the distribution of soft mesons does not depend on the
light quark distribution but the distribution of soft mesons is
inversely correlated to the light quark distribution.Comment: Added 6 more equations to explain the derivations; added discussions;
final published versio
MEMS On/off and x2 Optical Switch with Integrated Fiber Alignment Capability
An on/off free space optical switch is described in this paper. The device consists of intersecting cantilevers and is electrostatically actuated. A fiber is put onto the cantilevers and by controlling the position of the flber
through actuation, switching operation can be achieved. The device is also suitable for inpackage fiber alignment application, where the cantilevers can be used as passive or active fiber alignment microstructure
Anomalous character of the axion-photon coupling in a magnetic field distorted by a pp-wave gravitational background
We study the problem of axion-photon coupling in the magnetic field
influenced by gravitational radiation. We focus on exact solutions to the
equations for axion electrodynamics in the pp-wave gravitational background for
two models with initially constant magnetic field. The first model describes
the response of an initially constant magnetic field in a gravitational-wave
vacuum with unit refraction index; the second model is characterized by a
non-unit refraction index prescribed to the presence of ordinary and/or dark
matter. We show that both models demonstrate anomalous behavior of the
electromagnetic field generated by the axion-photon coupling in the presence of
magnetic field, evolving in the gravitational wave background. The role of
axionic dark matter in the formation of the anomalous response of this
electrodynamic system is discussed.Comment: 26 pages, no figure
Probability-dependent gain-scheduled control for discrete stochastic delayed systems with randomly occurring nonlinearities
This is the post-print version of the Article. The official published version can be accessed from the links below - Copyright @ 2012 John Wiley & Sons, Ltd.In this paper, the gain-scheduled control problem is addressed by using probability-dependent Lyapunov functions for a class of discrete-time stochastic delayed systems with randomly occurring sector nonlinearities. The sector nonlinearities are assumed to occur according to a time-varying Bernoulli distribution with measurable probability in real time. The multiplicative noises are given by means of a scalar Gaussian white noise sequence with known variances. The aim of the addressed gain-scheduled control problem is to design a controller with scheduled gains such that, for the admissible randomly occurring nonlinearities, time delays and external noise disturbances, the closed-loop system is exponentially mean-square stable. Note that the designed gain-scheduled controller is based on the measured time-varying probability and is therefore less conservative than the conventional controller with constant gains. It is shown that the time-varying controller gains can be derived in terms of the measurable probability by solving a convex optimization problem via the semi-definite programme method. A simulation example is exploited to illustrate the effectiveness of the proposed design procedures.This work was supported in part by the Leverhulme Trust of the UK, the Engineering and Physical Sciences Research Council (EPSRC) of the UK under Grant GR/S27658/01, the National Natural Science Foundation of China under Grants 61028008, 61134009, 61074016, 61104125 and 60974030, the Shanghai Natural Science Foundation of China under Grant 10ZR1421200, and the Alexander von Humboldt Foundation of Germany
Multifractal detrended cross-correlation analysis for two nonstationary signals
It is ubiquitous in natural and social sciences that two variables, recorded
temporally or spatially in a complex system, are cross-correlated and possess
multifractal features. We propose a new method called multifractal detrended
cross-correlation analysis (MF-DXA) to investigate the multifractal behaviors
in the power-law cross-correlations between two records in one or higher
dimensions. The method is validated with cross-correlated 1D and 2D binomial
measures and multifractal random walks. Application to two financial time
series is also illustrated.Comment: 4 RevTex pages including 6 eps figure
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