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Thermal evolution of compact objects and relaxation time

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TLDR
In this paper, the role of the relaxation time in a diffusion process was studied for spherically symmetric fluid distributions undergoing dissipation in the form of a radial heat flow, and the temperature gradient appearing as a result of perturbations, and thereby the subsequent evolution of the system, is highly dependent on the product of relaxation time by the period of oscillation of the sphere.
Abstract
We study, for spherically symmetric fluid distributions undergoing dissipation in the form of a radial heat flow, the role played by the relaxation time in a diffusion process. We show that the temperature gradient appearing as a result of perturbations, and thereby the subsequent evolution of the system, is highly dependent on the product of relaxation time by the period of oscillation of the· sphere.

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Relativistic fluid dynamics: physics for many different scales

TL;DR: The mathematical and theoretical physics underpinnings of the relativistic (multiple) fluid model are discussed, including the variational principle approach championed by Brandon Carter and his collaborators, in which a crucial element is to distinguish the momenta that are conjugate to particle number density currents.
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Extended irreversible thermodynamics revisited (1988-98)

TL;DR: In this paper, the progress made in extended irreversible thermodynamics during the ten years that have elapsed since the publication of the first review on the same subject is reviewed and compared with other non-equilibrium thermodynamic theories.
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Cylindrically symmetric relativistic fluids: a study based on structure scalars

TL;DR: In this paper, the authors apply the 1 + 3 formalism to the full set of equations governing the structure and evolution of self-gravitating cylindrically symmetric dissipative fluids with anisotropic stresses, in terms of scalar quantities obtained from the orthogonal splitting of the Riemann tensor.
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A causal model of radiating stellar collapse

TL;DR: In this article, a simple exact model of radiating stellar collapse, with a shear-free and non-accelerating interior matched to a Vaidya exterior, is presented.
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Some analytical models of radiating collapsing spheres

TL;DR: In this paper, the authors presented some analytical solutions to the Einstein equations, describing radiating collapsing spheres in the diffusion approximation, and calculated the temperature for each solution, using a hyperbolic transport equation, which permits to exhibit the influence of relaxational effects on the dynamics of the system.
References
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Journal ArticleDOI

Quantum theory of solids

Rudolf Peierls, +1 more
- 01 May 1956 - 
TL;DR: In this article, the interaction of light with non-conducting crystals has been studied in the context of crystal lattices and its applications in general theory and applications, such as semi-conductivity and superconductivity.
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