51ÁÔÆæÈë¿Ú

Abstract:

An extension to the wave packet description of quantum plasmas is presented, where the wave packet can be elongated in arbitrary directions. A generalised Ewald summation is constructed for the wave packet models accounting for long-range Coulomb interactions and fermionic effects are approximated by purpose-built Pauli potentials, self-consistent with the wave packets used. We demonstrate its numerical implementation with good parallel support and close to linear scaling in particle number, used for comparisons with the more common wave packet employing isotropic states. Ground state and thermal properties are compared between the models with differences occurring primarily in the electronic subsystem. Especially, the electrical conductivity of dense hydrogen is investigated where a 15% increase in DC conductivity can be seen in our wave packet model compared to other models.

Abstract:

The capability for molecular dynamics simulations to treat relativistic dynamics is extended by the inclusion of relativistic kinetic energy. In particular, relativistic corrections to the diffusion coefficient are considered for an argon gas modeled with a Lennard-Jones interaction. Forces are transmitted instantaneously without being retarded, an approximation that is allowed due to the short-range nature of the Lennard-Jones interaction. At a mass density of 1.4g/cm3, significant deviations from classical results are observed at temperatures above kBT≈0.05mc2, corresponding to an average thermal velocity of 32% of the speed of light. For temperatures approaching kBT≈mc2, the semirelativistic simulations agree with analytical results for hard spheres, which is seen to be a good approximation as far as diffusion effects are concerned.

Abstract:

We propose a new method for detecting high frequency gravitational waves (GWs) using high energy pulsed lasers. Through the inverse Gertsenshtein effect, the interaction between a GW and the laser beam results in the creation of an electromagnetic signal. The latter can be detected using single-photon counting techniques. We compute the minimal strain of a detectable GW which only depends on the laser parameters. We find that a resonance occurs in this process when the frequency of the GW is twice the frequency of the laser. With this method, the frequency range $10^{13}-10^{19} $ Hz is explored non-continuously for strains $h \gtrsim 10^{-20}$ for current laser systems and can be extended to $h \gtrsim 10^{-26}$ with future generation facilities.

Abstract:

In this paper, taking start from some verses of the Aeneid, the Author will focus on some literary and epigraphic documents in search for evidence of the geographical and ethnic references in Virgilian poem. In particular, there will be taken into account the passages and inscriptions which celebrate Rome's territorial expansionism and her dominion up to the borders of the known world thanks to Augustus, as the prince himself proudly declares in the chapter 26 of his Res gestae. The paper is structured in three sections: 1. Prophecies and divine promises in the Aeneid. 2. Possible historical references in the Aeneid. 3. Possible historical evidence in Latin inscriptions. In none of the other Latin poets active in the decade between 30 and 20 BC we find so frequent and explicit references to the military glories of Augustan Rome, with so many citations of peoples, lands, rivers and seas. This could not be conventional: if the historical references present in the Aeneid actually recall historical events, then the portrait of Virgil as a singer of Augustus' praises would be strengthened, and the utilitarian character of Roman poetry would be confirmed.