Casimir effect and thermodynamics of horizon instabilities
نویسنده
چکیده
We propose a dual thermodynamic description of a classical instability of generalised black hole spacetimes. From a thermodynamic perspective, the instability is due to negative compressibility in regions where the Casimir pressure is large. The argument indicates how the correspondence between thermodynamic and classical instability for horizons may be extended to cases without translational invariance.
منابع مشابه
02 07 4 v 1 2 4 Fe b 19 99 Thermodynamics of the Casimir effect
A complete thermodynamic treatment of the Casimir effect is presented. Explicit expressions for the free and the internal energy, the entropy and the pressure are discussed. As an example we consider the Casimir effect with different temperatures between the plates (T) resp. outside of them (T ′). For T ′ < T the pressure of heat radiation can eventually compensate the Casimir force and the tot...
متن کاملNUMERICAL ANALYSIS OF THE CASIMIR EFFECT DUE TO A SCALAR FIELD
In this paper, we study the Casimir effect of a scalar field with Dirichlet boundary condition in some certain topologies. By numerical analysis we show that Casimir energy is a shape-dependent quantity. We also obtain the phase transition in different topologies in which the Casimir force changes from attractive to repulsive or vice versa. eararqr
متن کاملar X iv : q ua nt - p h / 06 09 14 5 v 1 19 S ep 2 00 6 Experiment and theory in the Casimir effect
Casimir effect is the attractive force which acts between two plane parallel, closely spaced, uncharged, metallic plates in vacuum. This phenomenon was predicted theoretically in 1948 and reliably investigated experimentally only in recent years. In fact, the Casimir force is similar to the familiar van der Waals force in the case of relatively large separations when the relativistic effects co...
متن کاملStability of linear dilaton black holes at the Hagedorn temperature
We study the thermodynamics and the small fluctuations of a linear dilaton black hole, in an S-dual version of the near-horizon limit of type IIB NS5 branes. The thermodynamical analysis shows that the black hole is in a Hagedorn phase, with marginal stability. The dynamical analysis confirms that the speed of sound of the dual theory vanishes and that there are no evident instabilities at the ...
متن کاملar X iv : q ua nt - p h / 98 11 03 4 v 1 1 4 N ov 1 99 8 Thermodynamics of the Casimir Effect - Asymptotic Considerations
We study the Casimir effect with different temperatures between the plates (T) resp. outside of them (T ′). If we consider the inner system as the black body radiation for a special geometry, then contrary to common belief the temperature approaches a constant value for vanishing volume during isentropic processes. This means: the reduction of the degrees of freedom can not be compensated by a ...
متن کامل