arXiv subjects

F. B. Lustosa

Publications and source records attributed to F. B. Lustosa.

2 recordsLinked to original sources

arXiv2020

Quantum relaxation in a system of harmonic oscillators with time-dependent coupling

In the context of the de Broglie-Bohm pilot wave theory, numerical simulations for simple systems have shown that states that are initially out of quantum equilibrium - thus violating the Born rule - usually relax over time to the expected $|ψ|^2$ distribution on a coarse-grained level. We analyze the relaxation of nonequilibrium initial distributions for a system of coupled one-dimensional harmonic oscillators in which the coupling depends explicitly on time through numerical simulations, focusing in the influence of different parameters such as the number of modes, the coarse-graining length and the coupling constant. We show that in general the system studied here tends to equilibrium, but the relaxation can be retarded depending on the values of the parameters, particularly to the one related to the strength of the interaction. Possible implications on the detection of relic nonequilibrium systems are discussed.

quant-ph↗

arXiv2015

Thermodynamical Analysis of a Black Hole with a Global Monopole Within a Class of a f(R) Gravity

We analyze the thermodynamics of a black hole in a region that contains a global monopole in the framework of a particular class of a f(R) gravity. Specifically, we study the case in which df(R)/dR = F(R) is a power law function of the radial coordinate of the monopole spacetime, i.e., F(r) = 1 + ψ_n r^n, where ψ_n is the fine-tuned parameter corresponding to the f(R) gravity. We obtain explicit expressions for the local thermodynamic quantities of the black hole as a function of the event horizon, the parameter describing the monopole and the measurable corrections due to the f(R) theory modifications of the General Relativity. We also discussed the implications of the particular case of n=2, where the parameter ψ_2 can be related to a positive cosmological constant, that in monopole presence is characterized by a non-trivial topology observed as a deficit solid angle.

hep-th↗