A Lattice Boltzmann Method for relativistic rarefied flows in <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline" id="d1e672" altimg="si1.svg"><mml:mrow><mml:mo>(</mml:mo><mml:mn>2</mml:mn><mml:mo linebreak="goodbreak" linebreakstyle="after">+</mml:mo><mml:mn>1</mml:mn><mml:mo>)</mml:mo></mml:mrow></mml:math> dimensions

Bazzanini, Lorenzo; Gabbana, Alessandro; Simeoni, D.; Succi, Sauro; Tripiccione, R.

doi:10.1016/j.jocs.2021.101320

Cited by 8 publications

(10 citation statements)

References 29 publications

(33 reference statements)

Supporting

Mentioning

Contrasting

Order By: Relevance

“…In this section we present a detailed discussion of the momentum space discretization. We make use of offlattice quadratures, which are developed as product of Gaussian quadratures [14,16], offering the possibility of handling more complex equilibrium distribution functions and, in turn, extending the applicability of the method to regimes beyond hydrodynamics.…”

Section: Appendix A: Momentum Space Discretizationmentioning

confidence: 99%

“…2 are shown two examples of (2 + 1) dimensional stencils, the aligned one (left panel) and its tilted counterpart (central panel). Also, further details can be found in [16] for the (2+1) ultra-relativistic case.…”

Section: Appendix A: Momentum Space Discretizationmentioning

confidence: 99%

“…Even though lattice kinetic methods offer a potential bridge between these two main families, to date, they have been confined to the relativistic fluid sector only [9][10][11], and succesfully applied to a number of relativistic hydrodynamic problems in quark-gluon plasmas, electron transport in graphene [12] and also cosmic neutrino transport [13]. Further interesting work has been directed to ultra-relativistic gases in (3 + 1) [14], as well as in (2 + 1) dimensions [15,16].…”

mentioning

confidence: 99%

See 2 more Smart Citations

Fast kinetic simulator for relativistic matter

Ambrus¹,

Bazzanini²,

Gabbana³

et al. 2022

Preprint

View full text Add to dashboard Cite

Section: Appendix A: Momentum Space Discretizationmentioning

confidence: 99%

Section: Appendix A: Momentum Space Discretizationmentioning

confidence: 99%

mentioning

confidence: 99%

See 1 more Smart Citation

Fast kinetic simulator for relativistic matter

Ambrus¹,

Bazzanini²,

Gabbana³

et al. 2022

Preprint

View full text Add to dashboard Cite

“…We make use of off-lattice quadratures, which are developed as product of Gaussian quadratures [22,24], offering the possibility of handling more complex equilibrium distribution functions and, in turn, extending the applicability of the method to regimes beyond hydrodynamics.…”

Section: Momentum Space Discretizationmentioning

confidence: 99%

“…Even though lattice kinetic methods offer a potential bridge between these two main families, to date, they have been confined to the relativistic fluid sector only [17][18][19], and successfully applied to a number of relativistic hydrodynamic problems in QGP, electron transport in graphene [20] and also cosmic neutrino transport [21]. A similar approach has been directed to the study of ultra-relativistic gases in (3 + 1) [22], as well as in (2 + 1) dimensions [23,24].…”

Section: Introductionmentioning

confidence: 99%

Fast kinetic simulator for relativistic matter

Bazzanini¹,

Gabbana²,

Simeoni³

et al. 2022

Preprint

Self Cite

View full text Add to dashboard Cite

We present a new family of relativistic lattice kinetic schemes for the efficient simulation of relativistic flows in both strongly-interacting (fluid) and weakly-interacting (rarefied gas) regimes. The method can also deal with both massless and massive particles, thereby encompassing ultra-relativistic and mildly-relativistic regimes alike. The computational performance of the method for the simulation of relativistic flows across the aforementioned regimes is discussed in detail, along with prospects of future applications for Quark-Gluon Plasma, electron flows in graphene and systems in astrophysical contexts.

show abstract

Hydrodynamic approach to two-dimensional electron systems

Narozhny

2022

Riv. Nuovo Cim.

View full text Add to dashboard Cite

The last few years have seen an explosion of interest in hydrodynamic effects in interacting electron systems in ultra-pure materials. One such material, graphene, is not only an excellent platform for the experimental realization of the hydrodynamic flow of electrons, but also allows for a controlled derivation of the hydrodynamic equations on the basis of kinetic theory. The resulting hydrodynamic theory of electronic transport in graphene yields quantitative predictions for experimentally relevant quantities, e.g., viscosity, electrical conductivity, etc. Here I review recent theoretical advances in the field, compare the hydrodynamic theory of charge carriers in graphene with relativistic hydrodynamics and recent experiments, and discuss applications of hydrodynamic approach to novel materials beyond graphene.

show abstract

A Lattice Boltzmann Method for relativistic rarefied flows in (2+1) dimensions

Cited by 8 publications

References 29 publications

Fast kinetic simulator for relativistic matter

Fast kinetic simulator for relativistic matter

Fast kinetic simulator for relativistic matter

Hydrodynamic approach to two-dimensional electron systems

Contact Info

Product

Resources

About