nucl-th digest · Jul 5, 2018

Thermodynamic Geometry and Deconfinement Temperature

The application of Riemannian geometry to the analysis of the equilibrium thermodynamics in Quantum Chromodynamics (QCD) at finite temperature and baryon density gives a new method to evaluate the critical temperature,

T_{c}

, of the deconfinement transition. In the confined phase, described by the thermodynamic geometry of the Hadron Resonance Gas, the estimate of

T_{c}

turns out completely consistent with lattice QCD simulations of the quark-gluon plasma phase if the hadron excluded volume and the interaction effects are taken into account.

nucl-thEur.Phys.J.Plus(2019)·7 citations

An improved discretization of Schrodinger-like radial equations

Victor Laliena🇪🇸 · Javier Campo🇪🇸

A new discretization of the radial equations that appear in the solution of separable second order partial differential equations with some rotational symmetry (as the Schrodinger equation in a central potential) is presented. It cures a pathology, related to the singular behaviour of the radial function at the origin, that suffers in some cases the discretization of the second derivative with respect to the radial coordinate. This pathology causes an enormous slowing down of the convergence to the continuum limit when the two point boundary value problem posed by the radial equation is solved as a discrete matrix eigenvalue problem. The proposed discretization is a simple solution to that problem. Some illustrative examples are discussed.

↳ physics.comp-phcond-mat.str-elhep-latnucl-th+1J.Phys.A(2018)·2 citations

Thursday·July 5, 2018

Thermodynamic Geometry and Deconfinement Temperature

An improved discretization of Schrodinger-like radial equations

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