Light scattering test regarding the relativistic nature of heat

Sandoval-Villalbazo, A.; García‐Colín, L. S.

doi:10.1063/1.2218247

Cited by 6 publications

(4 citation statements)

References 6 publications

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“…This relation, when introduced as a closure to the system of hydrodynamic equations, yields the so-called generic instabilities. It is important to point out that this coupling, whose thermodynamic meaning has always been questioned, has so far not been supported by experiment [10].…”

Section: Introductionmentioning

confidence: 99%

On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics

2008

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It is shown that the so-called generic instabilities that appear in the framework of relativistic linear irreversible thermodynamics (LIT), describing the fluctuations of a simple fluid close to equilibrium, arise due to the coupling of heat with hydrodynamic acceleration which appears in Eckart's formalism of relativistic irreversible thermodynamics. Further, we emphasize that such behavior should be interpreted as a contradiction to the postulates of LIT, namely a violation of Onsager's hypothesis on the regression of fluctuations, and not as fluid instabilities. Such contradictions can be avoided within a relativistic linear framework if a Meixner-like approach to the phenomenological equations is employed.

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Section: Introductionmentioning

confidence: 99%

On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics

2008

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“…Indeed, in order to account for dissipative effects in a non-ideal (viscous) fluid he introduced the heat flow present in the fluid as part of Einstein's matter-stress tensor T µν . Being heat a non-mechanical form of energy, this has raised a rather strong debate about the physical meaning of such an assumption [2][3][4][5]. Moreover, his formalism often referred to as a first order theory [6,7] has given rise to additional controversies.…”

Section: Introductionmentioning

confidence: 99%

Relativistic transport theory for simple fluids to first order in the gradients

Sandoval-Villalbazo

García‐Perciante²,

García‐Colín

2009

Physica A: Statistical Mechanics and its Applications

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a b s t r a c tIn this paper we show how using a relativistic kinetic equation the ensuing expression for the heat flux can be cast in the form required by Classical Irreversible Thermodynamics. Indeed, it is linearly related to the temperature and number density gradients and not to the acceleration as the so called ''first order in the gradients'' theories propose. Since the specific expressions for the transport coefficients are irrelevant for our purposes, the BGK form of the kinetic equation is used. Moreover, from the resulting hydrodynamic equations it is readily seen that the equilibrium state is stable in the presence of the spontaneous fluctuations in the transverse hydrodynamic velocity mode of the simple relativistic fluid. The implications of this result are thoroughly discussed.

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“…The d 4 coefficient is the clue to determine that Eckart's formalism yields a non-causal solution [8] [10], since the width of Rayleigh's peak is now enhanced by the amount:…”

Section: The Rayleigh-brillouin Spectrum and The Light Frequency Conementioning

confidence: 99%

Light Cone analysis of relativistic first-order in the gradients hydrodynamics

Brun-Battistini¹,

Sandoval-Villalbazo²

2010

AIP Conference Proceedings

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This work applies a Rayleigh-Brillouin light spectrum analysis in order to establish a causality test by means of a frequency cone. This technique allows to identify forbidden and unforbidden regions in light scattering experiments and establishes if a set of linearized transport equations admits causal solutions. It is shown that, when studying a relativistic fluid with its acoustic modes interacting with light, Eckart's formalism yields a non causal behavior. In this case the solutions describing temperature, density and pressure fluctuations are located outside the frequency cone. In contrast, the set of equations that arises from modified Eckart's theory (based on relativistic kinetic theory) yields solutions that lie within the cone, so that they are causal.Light Cone analysis of relativistic first-order in the gradients hydrodynamics October 31, 2018 1

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Light scattering test regarding the relativistic nature of heat

Cited by 6 publications

References 6 publications

On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics

On the nature of the so-called generic instabilities in dissipative relativistic hydrodynamics

Relativistic transport theory for simple fluids to first order in the gradients

Light Cone analysis of relativistic first-order in the gradients hydrodynamics

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