From Conformal Invariance towards Dynamical Symmetries of the Collisionless Boltzmann Equation

Symmetry

Stoimen Stoimenov²  Malte Henkel¹ 

[1] Groupe de Physique Statistique, Institut Jean Lamour (CNRS UMR 7198), Université de Lorraine Nancy, B.P. 70239, F – 54506 Vandœuvre-lès-Nancy Cedex, France; E-Mail:;Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Blvd., BG–1784 Sofia, Bulgaria

关键词: conformal invariance;    conformal Galilean algebra;    Boltzmann equation;   

DOI  :  10.3390/sym7031595

来源: mdpi

【 摘 要 】

Dynamical symmetries of the collisionless Boltzmann transport equation, or Vlasov equation, but under the influence of an external driving force, are derived from non-standard representations of the 2D conformal algebra. In the case without external forces, the symmetry of the conformally-invariant transport equation is first generalized by considering the particle momentum as an independent variable. This new conformal representation can be further extended to include an external force. The construction and possible physical applications are outlined.

【 授权许可】

CC BY   
© 2015 by the authors; licensee MDPI, Basel, Switzerland.