Search results for "classical"
showing 10 items of 2294 documents
AdS$_2$/CFT$_1$ correspondence and near-extremal black hole entropy
1999
We provide a realization of the AdS$_2$/CFT$_1$ correspondence in terms of asymptotic symmetries of the AdS$_2\times$S$^1$ and AdS$_2\times$S$^2$ geometries arising in near-extremal BTZ and Reissner-Nordstr\"om black holes. Cardy's formula exactly accounts for the deviation of the Bekenstein-Hawking entropy from extremality. We also argue that this result can be extended to more general black holes near extremality.
Can conformal Transformations change the fate of 2D black holes?
1998
By using a classical Liouville-type model of two dimensional dilaton gravity we show that the one-loop theory implies that the fate of a black hole depends on the conformal frame. There is one frame for which the evaporation process never stops and another one leading to a complete disappearance of the black hole. This can be seen as a consequence of the fact that thermodynamic variables are not conformally invariant. In the second case the evaporation always produces the same static and regular end-point geometry, irrespective of the initial state.
Thermal duality and thermodynamics of micro black holes
2015
Starting from a generalized black hole entropy with logarithmic area corrections, in this paper we obtain (for positive value of the coefficient of the correction term) a generalized equation of state for black holes with two dual branches. In one of them (the usual one for macro black holes) T ≃ 1/M, with T temperature and M mass. In the other one, for micro black holes, instead, T ≃ M. We compare the equilibrium and stability between macro black holes and electromagnetic radiation in a finite box with reflecting walls, with the dual situation corresponding to micro black holes and cosmic string loops, also in a finite box. In this model, the dual phenomenon of evaporation of unstable mac…
Thermal history and structure of rotating protoneutron stars with relativistic equation of state
1999
We study the properties of general relativistic, slowly rotating, protoneutron stars. We explore the structure of rotating protoneutron stars with a wide range of the entropy per baryon, the lepton fraction and the baryonic mass in order to study the evolutionary history of protoneutron stars during the cooling epoch. We adopt the relativistic equation of state for dense matter derived within the relativistic mean field theory, which is based on the microscopic nuclear many-body framework, and checked by the experimental data of many nuclei. We provide broad information on the effect of rotation, temperature and lepton trapping of protoneutron stars with various baryonic masses. The evoluti…
Influence of atomic data on non-LTE chromospheric modelling
1997
Abstract The influence of various kinds of atomic parameters on computed Mg II h and k line profiles is studied. For this purpose, we have run a non-LTE code on several versions of a Mg II model atom differing from one another in the quality and source of the atomic data employed, while keeping fixed the underlying atmospheric structure. With this simple setup we show that employing good quality atomic data is a necessary condition to obtain reliable atmosphere diagnostics. This is of interest in many fields of stellar astrophysics, e. g. semi-empirical chromospheric modelling in our case, but also when modelling external velocity fields, circumstellar/interstellar absorption, etc. and so t…
A Radiation Fog Model with a Detailed Treatment of the Interaction between Radiative Transfer and Fog Microphysics
1990
Abstract A one-dimensional radiation fog model is presented which includes a detailed description of the interaction between atmospheric radiative transfer and the microphysical structure of the fog. Aerosol particles and activated cloud droplets are treated using a two-dimensional joint size distribution whereby the activation process of aerosols is explicitly modeled. For this purpose a new positive definite semi-Lagrangian advection scheme is developed that produces only small numerical diffusion and is numerically very efficient. For the radiative calculations, time dependent attenuation parameters are determined from the actual particle size distributions. The diffusional growth of the…
Comments on “Four-Stream Spherical Harmonic Expansion Approximation for Solar Radiative Transfer”
1998
Comments on : four-stream spherical harmonic expansion approximation for solar radiative transfer.
A Flux Method for the Numerical Solution of the Stochastic Collection Equation: Extension to Two-Dimensional Particle Distributions
2000
Abstract In the present paper a new method is introduced for the numerical solution of the stochastic collection equation in cloud models dealing with two-dimensional cloud microphysics. The method is based on the assumption that the probability for the collision of two cloud drops only depends on the water mass of each and not on the mass of the aerosol nuclei. With this assumption it is possible to reduce the two-dimensional solution of the stochastic collection equation to a one-dimensional approach. First, the two-dimensional particle spectrum is integrated over the aerosol mass yielding a one-dimensional drop spectrum in the water mass grid. For this intermediate drop distribution the …
A coupled map as a model of the dynamics of the magnetotail current sheet
2001
Abstract A magnetic field model of the magnetotail current sheet in the form of a coupled-map lattice (CML) is presented. It is continuously driven (“running”) and based on the MHD diffusion equation. Solar wind vBS data (solar wind speed multiplied by the southward component of IMF) are used for driving the model, and it is shown to exhibit perturbations (avalanches) with power-law scalings in their distributions of duration and size. Such distributions may indicate self-organized critical (SOC) behavior. Furthermore, it is shown that the power spectra of the model outputs are of bicolor power-law form with different slopes for high and low frequencies. Although the “running” model gives p…
A Theoretical Model to Describe the Motion of Aerosol Particles Due to the Combined Action of Inertia, Brownian Diffusion and Phoretic and Electric F…
1978
Abstract General principles of non-equilibrium thermodynamics are used to formulate a model which describes the motion of aerosol particles affected simultaneously by Brownian diffusion, inertial impaction, electric forces and phoretic forces. The theory presented applies to an ideal mixture consisting of dry air, water vapor and aerosol particles where temperature, pressure as well as vapor and particle concentration inhomogeneities are to be considered. In addition, the system is subjected to the earth's gravity, to an external electric field as well as to a Coulomb force due to a charged collecting water drop. The basic model assumptions are as follows: 1) the diffusive kinetic energy of…