We calculate the free energy of the quantum uniform electron gas for temperatures from near 0 to 100 times the Fermi energy, approaching the classical limit. An extension of the Vashista-Singwi theory to finite temperatures and a self-consistent compressibility sum rule is presented. Comparisons are made to other local-field correction methods, as well as recent quantum Monte Carlo simulation a...

We present the exact Bethe lattice solution for a lattice gas Potts model defined in the generalized ensemble which was previously studied in elucidating the anomalous thermodynamic properties of water. For this model the locus of density maxima (TMD), the locus of isothermal compressibility extrema, (TEC), the spinodal curve, and the percolation curve for four hydrogen bonded molecules are cal...

The ultrasonic velocity, density and viscosity of some Schiff bases of 4-amino benzoic acid  were measured in 1,4-dioxane and dimethylformamide at 308.15 K. Various acoustical properties such as isentropic compressibility (ks), Rao’s molar sound function (Rm), the Van der Waals constant (b), molar compressibility (W), inter molecular free len...

Reznikov et al. [Phys. Rev. Lett. 75, 3340 (1995)]] have presented definitive observations of nonequilibrium noise in a quantum point contact. Especially puzzling is the "anomalous" peak structure of the excess noise measured at constant current; to date it remains unexplained. We show that their experiment directly reveals the deep link between conservation principles in the electron gas and i...

Using phenomenological equations of state, we study the chemical and mechanical instabilities in hot isospin-asymmetric nuclear matter. Both instabilities are found to depend strongly on the isospin asymmetry of the nuclear matter. For a chemically and mechanically stable asymmetric nuclear matter, a lower neutron excess is found in the liquid phase than in the gas phase. Furthermore, the neutr...

A strong laser pulse that is focused into a liquid produces a vapor cavity, which first expands and then collapses with subsequent rebounds. In this paper a mathematical model of the spherically symmetric motion of a laser-induced bubble is proposed. It describes gas and liquid dynamics including compressibility, heat, and mass transfer effects and nonequilibrium processes of evaporation and co...

In this paper the method of modelling of high-speed nonequilibrium two-phase turbulent flows with phase transition in disperse phase is presented. The method proposed in this paper has the following features: 1) the mathematical model includes conservation equations for gas and solid particles, as well as the equations for gas vibration molecular energy, conservation of species and phase transi...

This paper evaluates the solution effects of different Rayleigh-Plesset models (R-P) for simulating the growth/collapse dynamics and thermal behaviour of homogeneous gas bubbles. The flow inputs used for the discrete cavitation bubble calculations are obtained from Reynolds-averaged Navier-Stokes simulations (RANS), performed in high-pressure nozzle holes. Parametric 1-D results are presented f...

Kobayashi [Kob81] introduced a uniform notion of compressibility of infinite binary sequences X in terms of relative Turing computations with sub-linear use of the oracle. Given f : N → N we say that X is f -compressible if there exists Y such that for each n we can uniformly compute X ↾n from oracle Y ↾ f (n). Kobayashi compressibility has remained a relatively obscure notion, with the excepti...