In a Thomas-Fermi model, calculations are presented for nuclei beyond the nuclear drip line at zero temperature. These nuclei are in equilibrium by the presence of an external gas, as may be envisaged in the astrophysical scenario. We find that there is a limiting asymmetry beyond which these nuclei can no longer be made stable.

In a finite temperature Thomas-Fermi theory, we construct caloric curves for finite nuclei enclosed in a freeze-out volume few times the normal nuclear volume, with and without inclusion of flow. Without flow, the caloric curve indicates a smooth liquid-gas phase transition whereas with flow, the transition may be very sharp. We discuss these results in the context of two recent experiments, on...

Article history: Received 5 December 2008 Available online 12 February 2009 Submitted by J. Xiao

We first discuss the thermal properties of bulk hot nucleon matter with variable proton to total baryon ratio, Y . Of particular interest are the phase transitions and the coexistence curves, which have unusual features because of the additional degree of freedom associated with Y . Coulomb and surface effects, which modify these properties, are treated with a nuclear Thomas-Fermi model. The la...

We describe a simple graphene nanoribbon and bottom gate system and present numerical algorithms for solving Poisson’s and Thomas–Fermi equations for electrons in the graphene nanoribbon. The Poisson’s equation is solved using finite difference and finite element methods. Using the Poisson and Thomas–Fermi equations we calculate an electrostatic potential and surface electron density in the gra...

A relaxation method is employed to study a rotating dense Bose-Einstein condensate beyond Thomas-Fermi approximation. We use a slave-boson model to describe the strongly interacting condensate and derive a generalized non-linear Schrödinger equation with kinetic term for the rotating condensate. In comparison with previous calculations, based on Thomas-Fermi approximation, significant improveme...

We discuss a recently proposed analytic solution to the Thomas– Fermi (TF) equation and show that earlier approaches provide more accurate results. In particular, we show that a simple and straightforward rational approximation to the TF equation yields the slope at origin with unprecedented accuracy, as well as remarkable values of the TF function and its first derivative for other coordinate ...

We show that the Lagrangian for interacting nonrelativistic particles can be coupled to an external gauge field and metric tensor in a way that exhibits a nonrelativistic version of general coordinate invariance. We explore the consequences of this invari-ance on the example of the degenerate Fermi gas at infinite scattering length, where conformal invariance also plays an important role. We fi...