Next Article in Journal / Special Issue
Symmetries, Lagrangians and Conservation Laws of an Easter Island Population Model
Previous Article in Journal
Prevention of Exponential Equivalence in Simple Password Exponential Key Exchange (SPEKE)
Previous Article in Special Issue
A (1+2)-Dimensional Simplified Keller–Segel Model: Lie Symmetry and Exact Solutions
 
 
Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
Journals
Symmetry
Volume 7
Issue 3
10.3390/sym7031595
symmetry-logo
Submit to this Journal Review for this Journal Propose a Special Issue
► Article Menu

Article Menu

share Share announcement Help format_quote Cite question_answer Discuss in SciProfiles
first_page
settings
Order Article Reprints
Font Type:
Arial Georgia Verdana
Font Size:
Aa Aa Aa
Line Spacing:
Column Width:
Background:
Article

From Conformal Invariance towards Dynamical Symmetries of the Collisionless Boltzmann Equation

by
Stoimen Stoimenov
1,* and
Malte Henkel
2
1
Institute of Nuclear Research and Nuclear Energy, Bulgarian Academy of Sciences, 72 Tsarigradsko Chaussee, Blvd., BG–1784 Sofia, Bulgaria
2
Groupe de Physique Statistique, Institut Jean Lamour (CNRS UMR 7198), Université de Lorraine Nancy, B.P. 70239, F – 54506 Vandoeuvre-lès-Nancy Cedex, France
*
Author to whom correspondence should be addressed.
Symmetry 2015, 7(3), 1595-1612; https://doi.org/10.3390/sym7031595
Submission received: 30 June 2015 / Revised: 18 August 2015 / Accepted: 18 August 2015 / Published: 7 September 2015
(This article belongs to the Special Issue Lie Theory and Its Applications)
Versions Notes

Abstract

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.
Keywords: conformal invariance; conformal Galilean algebra; Boltzmann equation conformal invariance; conformal Galilean algebra; Boltzmann equation

Share and Cite

MDPI and ACS Style

Stoimenov, S.; Henkel, M. From Conformal Invariance towards Dynamical Symmetries of the Collisionless Boltzmann Equation. Symmetry 2015, 7, 1595-1612. https://doi.org/10.3390/sym7031595

AMA Style

Stoimenov S, Henkel M. From Conformal Invariance towards Dynamical Symmetries of the Collisionless Boltzmann Equation. Symmetry. 2015; 7(3):1595-1612. https://doi.org/10.3390/sym7031595

Chicago/Turabian Style

Stoimenov, Stoimen, and Malte Henkel. 2015. "From Conformal Invariance towards Dynamical Symmetries of the Collisionless Boltzmann Equation" Symmetry 7, no. 3: 1595-1612. https://doi.org/10.3390/sym7031595

APA Style

Stoimenov, S., & Henkel, M. (2015). From Conformal Invariance towards Dynamical Symmetries of the Collisionless Boltzmann Equation. Symmetry, 7(3), 1595-1612. https://doi.org/10.3390/sym7031595

Article Metrics

Back to TopTop