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Project

Analytical and statistical mechanics for systems of many charged particles

Research Area: Theoretical and computational mechanics
Project Members:
Essén, H.
Fiolhais, C. N.
Nordmark, A.
Sponsor: KTH 

Project Description

In many applications of electrodynamics radiation is negligible since it is proportional to the third power of the inverse speed of light. Also quantum mechanical stationary states are known not to radiate. In these cases the field degrees of freedom can be neglected and one can use ordinary finite degree of freedom Lagrangian and Hamiltonian mechanics to study the problem. The Lagrangian in question is usually called the Darwin Lagrangian. In this way many problems can be treated with more accuracy and exactness even if many difficulties remain. One of these difficulties is how to treat the magnetic interaction energy in systems of large numbers of charged particles. The formalism has been applied to the study of problems in plasma physics and in superconductivity. The desire for a deeper understanding of the origin of magnetic fields around rotating astronomical bodies and of the superconducting phase transition in solids is the main driving force behind the project.

Publications related to the project

YearTitle
2011Magnetic field and current are zero inside ideal conductors
Progress In Electromagnetics Research B 27 187-212 (Published)
2009From least action in electrodynamics to magnetomechanical energy -- a review
European journal of physics 30 515 - 539 (Published)
2008Magnetic energy per particle in constant current density
Europhys. Lett. 84 20011-1-5 (Published)
2007The exact Darwin Lagrangian
Europhys. Lett. 79 6002- 1-3 (Published)
2005Electrodynamic model connecting superconducting response to magnetic field and to rotation
European journal of physics 26 279-285 (Published)
2005Magnetic dynamics of simple collective modes in a two-sphere plasma model
Phys. Plasmas 12 122101-1-7 (Published)
2004Hamiltonian of a homogeneous two-component plasma
Phys. Rev. E. 69 036404, 1-9 (Published)
2004Magnetohydrodynamic self-consistent exact helical solutions
J. Phys. A: Math. Gen 37 9831-9840 (Published)
1999Magnetism of matter and phase-space energy of charged particle systems
J. Phys. A: Math. Gen 32 2297-2314 (Published)
1997Phase-space energy of charged particles with negligible radiation: Proof of spontaneous magnetic strutcures and new effective forces.
Phys. Rev. E. 56 5858-5865 (Published)
1996Darwin magnetic interaction energy and its macroscopic consequences.
Phys. Rev. E. 53 5228-5239 (Published)
1995A study of lattice and magnetic interactions of conduction electrons
Physica Scripta 52 388-394 (Published)
1989Magnetic Fields, Rotating Atoms and the Origin of Diamagnetism
Physica Scripta 40 761-767 (Published)

Internal Reports related to the project

YearTitleDocument Type