The Equation of State for Cool Relativistic Two-Constituent Superfluid Dynamics

Simple item page
dc.creatorCarter, Brandon
dc.creatorLanglois, David
dc.date1995-07-10
dc.date.accessioned2026-07-07T12:03:49Z
dc.date.available2026-07-07T12:03:49Z
dc.descriptionThe natural relativistic generalisation of Landau's two constituent superfluid theory can be formulated in terms of a Lagrangian $L$ that is given as a function of the entropy current 4-vector $s^ρ$ and the gradient $\nablaφ$ of the superfluid phase scalar. It is shown that in the ``cool" regime, for which the entropy is attributable just to phonons (not rotons), the Lagrangian function $L(\vec s, \nablaφ)$ is given by an expression of the form $L=P-3ψ$ where $P$ represents the pressure as a function just of $\nablaφ$ in the (isotropic) cold limit. The entropy current dependent contribution $ψ$ represents the generalised pressure of the (non-isotropic) phonon gas, which is obtained as the negative of the corresponding grand potential energy per unit volume, whose explicit form has a simple algebraic dependence on the sound or ``phonon" speed $c_P$ that is determined by the cold pressure function $P$.
dc.description26 pages, RevTeX, no figures, published in Phys. Rev. D. 15 May 1995
dc.identifierhttps://arxiv.org/abs/hep-th/9507058
dc.identifierhttp://arxiv.org/abs/hep-th/9507058
dc.identifierPhys.Rev.D51:5855-5864,1995
dc.identifierdoi:10.1103/PhysRevD.51.5855
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/207917
dc.subjectHigh Energy Physics - Theory
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleThe Equation of State for Cool Relativistic Two-Constituent Superfluid Dynamics
dc.typetext

Files

Collections

arXiv