Heat conduction in relativistic neutral gases revisited

García‐Perciante, A. L.; Méndez, A. R.

doi:10.1007/s10714-011-1180-z

Cited by 15 publications

(20 citation statements)

References 21 publications

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“…(40) and is a space-like vector which in the comoving frame of the fluid, only has spatial components which coincide with the chaotic velocity ones. This reinforces the covariance of the calculations that have been worked in the literature [4,13,16,19,20] in the framework of special-relativistic kinetic theory. Also, and most importantly, this reasoning sheds light on a possible way to extend these ideas to the general relativistic case.…”

Section: The Chaotic Velocity In General Coordinatessupporting

confidence: 83%

On the role of the chaotic velocity in relativistic kinetic theory

Moratto¹,

García‐Perciante²

2014

AIP Conference Proceedings

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In this paper we revisit the concept of chaotic velocity within the context of relativistic kinetic theory. Its importance as the key ingredient which allows to clearly distinguish convective and dissipative effects is discussed to some detail. Also, by addressing the case of the two component mixture, the relevance of the barycentric comoving frame is established and thus the convenience for the introduction of peculiar velocities for each species. The fact that the decomposition of molecular velocity in systematic and peculiar components does not alter the covariance of the theory is emphasized. Moreover, we show that within an equivalent decomposition into space-like and time-like tensors, based on a generalization of the relative velocity concept, the Lorentz factor for the chaotic velocity can be expressed explicitly as an invariant quantity. This idea, based on Ellis' theorem, allows to foresee a natural generalization to the general relativistic case.Comment: 12 pages, 2 figure

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Section: The Chaotic Velocity In General Coordinatessupporting

confidence: 83%

On the role of the chaotic velocity in relativistic kinetic theory

Moratto¹,

García‐Perciante²

2014

AIP Conference Proceedings

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“…One certain area which may provide some physical effects is the transport coefficients in a relativistic fluid which has recently gained some attention [24][25][26]. Particularly, the transport of heat due to particle gradient is negligible in a classical fluid, but becomes considerable in the relativistic limit [14,27]. Thus, the ratio of the transport coefficients which measures the relative share of the two mechanisms for transport (that due to particle gradient divided by that due to temperature gradient) is nearly zero in the classical limit (T ≪ 1) and becomes approximately 1/3 in the extreme relativistic regime (T ≫ 1).…”

Section: Discussionmentioning

confidence: 99%

Thermodynamics of a morphological transition in a relativistic gas

Montakhab¹,

Shahsavar²,

Ghodrat³

2014

Physica A: Statistical Mechanics and its Applications

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Recently, a morphological transition in the velocity distribution of a relativistic gas has been pointed out which shows hallmarks of a critical phenomenon. Here, we provide a general framework which allows for a thermodynamic approach to such a critical phenomenon. We therefore construct a thermodynamic potential which upon expansion leads to Landau-like (mean-field) theory of phase transition. We are therefore able to calculate critical exponents and explain the spontaneous emergence of order parameter as a result of relativistic constraints. Numerical solutions which confirm our thermodynamic approach are also provided. Our approach provides a general understanding of such a transition as well as leading to some new results. Finally, we briefly discuss some possible physical consequences of our results as well as considering the case of quantum relativistic gases.Comment: 5 pages, 5 figures. To appear in Physica

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“…which can be shown to be of second order, and thus negligible, in Kaluza's classical formalism by direct calculation of the Christoffel symbols using the metric tensor given in Eq. (4). Using this fact in Eq.…”

Section: Final Remarksmentioning

confidence: 97%

Thermoelectric and Thermomagnetic Effects in Kaluza’s Kinetic Theory

Sagaceta-Mejía

Sandoval-Villalbazo

García‐Perciante

2017

Journal of Non-Equilibrium Thermodynamics

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A five-dimensional treatment of the Boltzmann equation is used to establish the constitutive equations that relate thermodynamic fluxes and forces up to first order in the gradients for simple charged fluids in the presence of electromagnetic fields. The formalism uses the ansatz first introduced by Kaluza back in 1921, proposing that the particle charge-mass ratio is proportional to the fifth component of its velocity field. It is shown that in this approach, space-time curvature yields thermodynamic forces leading to generalizations of the well-known cross-effects present in linear irreversible thermodynamics.

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Heat conduction in relativistic neutral gases revisited

Cited by 15 publications

References 21 publications

On the role of the chaotic velocity in relativistic kinetic theory

On the role of the chaotic velocity in relativistic kinetic theory

Thermodynamics of a morphological transition in a relativistic gas

Thermoelectric and Thermomagnetic Effects in Kaluza’s Kinetic Theory

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