Horizon thermodynamics in holographic cosmological models with a power-law term

Abstract

Thermodynamics on the horizon of a flat universe at late times is studied in holographic cosmological models that assume an associated entropy on the horizon. In such models, a $\Lambda (t)$ model similar to a time-varying $\Lambda (t)$ cosmology is favored because of the consistency of energy flows across the horizon. Based on this consistency, a $\Lambda (t)$ model with a power-law term proportional to $H^{\alpha }$ is formulated to systematically examine the evolution of the Bekenstein--Hawking entropy. Here, $H$ is the Hubble parameter and $\alpha$ is a free parameter whose value is a real number. The present model always satisfies the second law of thermodynamics on the horizon. In particular, the universe for $\alpha <2$ tends to approach thermodynamic equilibrium-like states. Consequently, when $\alpha <2$, the maximization of the entropy should be satisfied as well, at least in the last stage of the evolution of an expanding universe. A relaxation-like process before the last stage is also examined from a thermodynamics viewpoint.

Final version accepted for publication in PRD. Several paragraphs and references are added and revised. [15pages, 6 figures]

References in corpus (21)

• Dark energy cosmology: the equivalent description via different theoretical models and cosmography tests
• Thermodynamic uncertainty relation for biomolecular processes
• Hubble parameter measurement constraints on the redshift of the deceleration-acceleration transition, dynamical dark energy, and space curvature
• Thermodynamic interpretation of the generalized gravity models with geometry - matter coupling
• The new form of the equation of state for dark energy fluid and accelerating universe
• Cosmologies with Energy Exchange
• Entropic Accelerating Universe
• Does Bulk Viscosity Create a Viable Unified Dark Matter Model?
• Dynamical vacuum energy in the expanding Universe confronted with observations: a dedicated study
• Entropic Corrections to Friedmann Equations
• Power-law corrections to entanglement entropy of horizons
• Inflation in Entropic Cosmology: Primordial Perturbations and non-Gaussianities
• Entropy evolution of universes with initial and final de Sitter eras
• Generalized second law of thermodynamics for FRW cosmology with logarithmic correction
• Emergence of Space and Spacetime Dynamics of Friedmann-Robertson-Walker Universe
• Non-adiabatic-like accelerated expansion of the late universe in entropic cosmology
• Entropic cosmology in a dissipative universe
• Thermodynamic constraints on a varying cosmological-constant-like term from the holographic equipartition law with a power-law corrected entropy
• Does the second law hold at cosmic scales?
• Modified Hawking temperature and entropic force: a prescription in FRW model
• Reconstructions of $f(T)$ Gravity from Entropy Corrected Holographic and New Agegraphic Dark Energy Models in Power-law and Logarithmic Versions

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