Note on the thermodynamics and the speed of sound of a scalar field
arXiv:1309.4282 · doi:10.1088/0264-9381/31/5/055006
Abstract
We investigate the correspondence between a perfect fluid and a scalar field and show a possible way of expressing thermodynamic quantities such as entropy, particle number density, temperature and chemical potential in terms of the scalar field phi and its kinetic term X. We prove a theorem which relates isentropy with purely kinetic Lagrangian. As an application, we study the evolution of the gravitational potential in cosmological perturbation theory.
18 pages, comments and references added. Section 6 expanded
References in corpus (14)
- Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
- Dynamics of dark energy
- Reheating in Inflationary Cosmology: Theory and Applications
- Relativistic cosmology and large-scale structure
- Bulk Viscous Cosmology
- Unified Dark Matter in Scalar Field Cosmologies
- Unified Dark Matter Scalar Field Models
- Attractor scenarios and superluminal signals in k-essence cosmology
- Cosmological tachyon condensation
- A note on perfect scalar fields
- The Homogeneous Scalar Field and the Wet Dark Sides of the Universe
- Thermodynamics of k-essence
- Cosmological status of Lagrangian theory of density perturbations
- Note on scalars, perfect fluids, constrained field theories, and all that
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