Rayleigh-Brillouin spectrum in special relativistic hydrodynamics

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

doi:10.1103/physreve.79.066310

Cited by 21 publications

(32 citation statements)

References 13 publications

Supporting

Mentioning

Contrasting

Unclassified

Order By: Relevance

“…It is interesting to notice that the calculation of β and following this method leads to the predicition of effects to the dynamic structure factor of the fluid. This subject has already been addressed in the absence of gravity in earlier work [19].…”

Section: Final Remarksmentioning

confidence: 96%

“…(22-23) and the denominator c 4 that appears in Eq. (19) for a o generates a very large root of the full dispersion relation. Therefore the modifications, as shown in appendix A, will generate a rather interesting result namely, that the gravitatonal field yields a correction which is negligible when compared with the Hiscock-Lindblom characteristic time [7].…”

Section: Linearized Equations: Exponentially Growing Modesmentioning

confidence: 98%

See 1 more Smart Citation

Jeans instability analysis in the presence of heat in Eckart’s frame

Mondragón-Suárez

Sandoval-Villalbazo

2011

Gen Relativ Gravit

Self Cite

View full text Add to dashboard Cite

It is shown that the coupling of heat with acceleration first proposed by Eckart would have an overwhelming effect in the growth of density mass fluctuations, even in non-relativistic fluids in the presence of a gravitational field. Gravitational effects would be negligible if the heat-acceleration relation is assumed to be valid for the hydrodynamic equations. A direct implication of this result is that recent alternative first order in the gradients theories must be taken into account while describing a special relativistic fluid.

show abstract

Section: Final Remarksmentioning

confidence: 96%

Section: Linearized Equations: Exponentially Growing Modesmentioning

confidence: 98%

Jeans instability analysis in the presence of heat in Eckart’s frame

Mondragón-Suárez

Sandoval-Villalbazo

2011

Gen Relativ Gravit

Self Cite

View full text Add to dashboard Cite

show abstract

“…In addition to extended theories, attempts have also been made in the context of first-order theories [29][30][31][32] to address or resolve the first two drawbacks associated with RH; namely the ambiguities in definition of fundamental variables and the unstable features that arise in the Eckart frame. The relativistic extension of Meixner's idea (MX) [29,33,34], the modified Eckart theory (ME) [17,30], the modified version of Marle-Stewart original proposal (MMS) [5] and the recent rigorous approach on the basis of renormalization group (RG) method presented by Tsumura-Kunihiro-Ohnishi (TKO) [31] are examples of these efforts that we intend to investigate in this work.…”

Section: Introductionmentioning

confidence: 99%

“…The relativistic extension of Meixner's idea (MX) [29,33,34], the modified Eckart theory (ME) [17,30], the modified version of Marle-Stewart original proposal (MMS) [5] and the recent rigorous approach on the basis of renormalization group (RG) method presented by Tsumura-Kunihiro-Ohnishi (TKO) [31] are examples of these efforts that we intend to investigate in this work.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

Molecular dynamics approach to dissipative relativistic hydrodynamics: Propagation of fluctuations

2016

View full text Add to dashboard Cite

Relativistic generalization of hydrodynamic theory has attracted much attention from a theoretical point of view. However, it has many important practical applications in high energy as well as astrophysical contexts. Despite various attempts to formulate relativistic hydrodynamics, no definitive consensus has been achieved. In this work, we propose to test the predictions of four types of first-order hydrodynamic theories for non-perfect fluids in the light of numerically exact molecular dynamics simulations of a fully relativistic particle system in the low density regime. In this regard, we study the propagation of density, velocity and heat fluctuations in a wide range of temperatures using extensive simulations and compare them to the corresponding analytic expressions we obtain for each of the proposed theories. As expected in the low temperature classical regime all theories give the same results consistent with the numerics. In the high temperature extremely relativistic regime, not all considered theories are distinguishable from one another. However, in the intermediate regime, a meaningful distinction exists in the predictions of various theories considered here. We find that the predictions of the recent formulation due to Tsumura-Kunihiro-Ohnishi are more consistent with our numerical results than the traditional theories due to Meixner, modified Eckart and modified Marle-Stewart.

show abstract

Structure formation in the presence of relativistic heat conduction: corrections to the Jeans wave number with a stable, first order in the gradients, formalism

2013

Self Cite

View full text Add to dashboard Cite

The problem of structure formation in relativistic dissipative fluids was analyzed in a previous work within Eckart's framework, in which the heat flux is coupled to the hydrodynamic acceleration, additional to the usual temperature gradient term. It was shown that in such case, the pathological behavior of fluctuations leads to the disappearance of the gravitational instability responsible for structure formation (Mondragon-Suarez and Sandoval-Villalbazo in Gen Relativ Gravit 44: [139][140][141][142][143][144][145] 2012). In the present work the problem is revisited using a constitutive equation derived from relativistic kinetic theory. This new relation, in which the heat flux is not coupled to the hydrodynamic acceleration, leads to a consistent first order in the gradients formalism. In this case the gravitational instability remains, and only relativistic corrections to the Jeans wave number are obtained. In the calculation here shown the non-relativistic limit is recovered, opposite to what happens in Eckart's case (Hiscock and Lindblom in Phys Rev D 31:725-733, 1985).

show abstract

Rayleigh-Brillouin spectrum in special relativistic hydrodynamics

Cited by 21 publications

References 13 publications

Jeans instability analysis in the presence of heat in Eckart’s frame

Jeans instability analysis in the presence of heat in Eckart’s frame

Molecular dynamics approach to dissipative relativistic hydrodynamics: Propagation of fluctuations

Structure formation in the presence of relativistic heat conduction: corrections to the Jeans wave number with a stable, first order in the gradients, formalism

Contact Info

Product

Resources

About