Fractional Dynamics of Relativistic Particle
Plasma Physics
2014-03-31 v1
Abstract
Fractional dynamics of relativistic particle is discussed. Derivatives of fractional orders with respect to proper time describe long-term memory effects that correspond to intrinsic dissipative processes. Relativistic particle subjected to a non-potential four-force is considered as a nonholonomic system. The nonholonomic constraint in four-dimensional space-time represents the relativistic invariance by the equation for four-velocity u_{\mu} u^{\mu}+c^2=0, where c is a speed of light in vacuum. In the general case, the fractional dynamics of relativistic particle is described as non-Hamiltonian and dissipative. Conditions for fractional relativistic particle to be a Hamiltonian system are considered.
Keywords
Cite
@article{arxiv.1107.5749,
title = {Fractional Dynamics of Relativistic Particle},
author = {Vasily E. Tarasov},
journal= {arXiv preprint arXiv:1107.5749},
year = {2014}
}