Exact Model of Coupled Dielectric Resonators

Abramowicz, Adam

doi:10.1109/euma.1990.336216

Cited by 16 publications

(18 citation statements)

References 6 publications

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“…The inset denotes days elapsed after the heat deposition. ellipticity studies (Abramowicz 1990;Chandrasekhar & Miller 1974), the denser a neutron star, the less eccentric it is. A star with R=M $ 8 is more eccentric than one with R=M $ 6.…”

Section: Simulations Of Thermal Afterglows That Results From Glitchesmentioning

confidence: 99%

The Effects of Rotation on Thermal X‐Ray Afterglows Resulting from Pulsar Glitches

Hui¹,

Cheng²

2004

ApJ

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We derive the anisotropic heat transport equation for rotating neutron stars, and we also derive the thermal equilibrium condition in a relativistic rotating axisymmetric star through a simple variational argument. With a simple model of a neutron star, we model the propagation of heat pulses resulting from transient energy releases inside the star. Such sudden energy release can occur in pulsars during glitches. Even in a slow rotation limit ( 1 ; 10 3 s À1 ), the results with rotational effects involved could be noticeably different from those obtained with a spherically symmetric metric in terms of the timescales and magnitudes of thermal afterglow. We also study the effects of gravitational lensing and frame dragging on the X-ray light curve pulsations. Our results indicate that the effect of rotation on the light-curve modulation is small and that the spacetime-curvature effect predominates. The metric components and rotational deformation of the stellar structure are calculated using Hartle-Thorne formalism. We have applied our model to study the thermal response timescales of pulsars after glitches and find that the centrifugal force produced by rotation can substantially reduce the response time by a factor of 3 between a nonrotating star and a rotating star with $ 900 s À1 . The equation of state can also affect the duration of the response.

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Section: Simulations Of Thermal Afterglows That Results From Glitchesmentioning

confidence: 99%

The Effects of Rotation on Thermal X‐Ray Afterglows Resulting from Pulsar Glitches

Hui¹,

Cheng²

2004

ApJ

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“…This is not the whole story about centrifugal force in classical mechanics, since it makes its appearance in at least two other familiar contexts. As discussed in detail by Abramowicz,5 one is the train, plane, car context in which one has an accelerated platform to which a local reference frame is attached, essentially the previous problem with additional motion of the origin of coordinates. Any point fixed in this local platform will then experience accelerations tangential and transverse to its direction of motion, and the transverse acceleration can be interpreted in terms of a centrifugal force in the local reference frame due to its instantaneous rotation about the center of the osculating circle associated with the curvature of its path.…”

Section: The Spacetime Settingmentioning

confidence: 99%

“…γ with the corresponding projections of the covariant derivative acting on the smooth extension 5) where the individual terms on the right hand side depend on how the extension is made. These individual terms have no meaning without such an extension, a fact which has caused some confusion in attempts to generalize centrifugal and other noninertial forces to curved spacetimes.…”

Section: Measuring the Intrinsic Derivative Along A Parametrized Curvementioning

confidence: 99%

“…Relative motion for which this is true may be called the case of purely linear relative acceleration (for each type), examined recently in the static case by Rindler and Mishra 31,32 and the present authors. 30 On the other hand, if the longitudinal relative acceleration vanishes, as it does for the case of constant relative speed in the ordinary and corotating cases, one has the case of purely transverse relative acceleration, the case studied extensively for circular orbits by Abramowicz et al in the static case [3][4][5][6][7][8][9] and by Abramowicz and coworkers in the stationary Kerr spacetime and stationary axisymmetric spacetimes. [10][11][12][13][14] De Felice has studied this same case for Schwarzschild and Kerr without decomposing the 4-force and using the angular velocity relative to the static (or distantly nonrotating) observers as his key variable.…”

Section: Relative Acceleration: Longitudinal and Transverse Partsmentioning

confidence: 99%

See 1 more Smart Citation

The Intrinsic Derivative and Centrifugal Forces in General Relativity: I.

Bini

Carini

Jantzen

1997

Int. J. Mod. Phys. D

177

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Everyday experience with centrifugal forces has always guided thinking on the close relationship between gravitational forces and accelerated systems of reference. Once spatial gravitational forces and accelerations are introduced into general relativity through a splitting of spacetime into space-plus-time associated with a family of test observers, one may further split the local rest space of those observers with respect to the direction of relative motion of a test particle world line in order to define longitudinal and transverse accelerations as well. The intrinsic covariant derivative (induced connection) along such a world line is the appropriate mathematical tool to analyze this problem, and by modifying this operator to correspond to the observer measurements, one understands more clearly the work of Abramowicz et al who define an "optical centrifugal force" in static axisymmetric spacetimes and attempt to generalize it and other inertial forces to arbitrary spacetimes. In a companion article the application of this framework to some familiar stationary axisymmetric spacetimes helps give a more intuitive picture of their rotational features including spin precession effects, and puts related work of de Felice and others on circular orbits in black hole spacetimes into a more general context.

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“…The disposal of PCB contaminated soil by deposition on a landfill or the treatment by thermic decomposition under high temperatures is no long term solution to the problem. A general view concerning synthesis, properties and biodegradability of PCB is given by ABRAMOWICZ (1990). The development of a biotechnological process might be advantageous if the hazardous compounds would be degraded by microbial activities to harmless fragments.…”

Section: Introductionmentioning

confidence: 99%

Microbial degradation of polychlorinated biphenyls in contaminated soil

et al. 1993

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The potential of microbial degradation of PCB in contaminated actual site soil was investigated by incubation in percolation columns for 10 months. The addition of traces of mineral salts and nutrients resulted in a significant increase of the degradation of PCB congeners up to 5 Cl-atoms caused by the naturally occurring bacteria in the soil matrix. If only tap water was recycled the degree of PCB degradation was negligible.

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Exact Model of Coupled Dielectric Resonators

Cited by 16 publications

References 6 publications

The Effects of Rotation on Thermal X‐Ray Afterglows Resulting from Pulsar Glitches

The Effects of Rotation on Thermal X‐Ray Afterglows Resulting from Pulsar Glitches

The Intrinsic Derivative and Centrifugal Forces in General Relativity: I.

Microbial degradation of polychlorinated biphenyls in contaminated soil

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