next up previous

7.1.1 Gauss dynamics

Gaussian, or isokinetic, dynamics was introduced by Hoover and Evans in 1982. This is the idea:

\sigma\{ \vec{v}\} \equiv \sum_{i=1}^{N}\frac{m}{2}v_{i}^{2}-E_{0}
\end{displaymath} (7.1)

be a (non-holonomic) constraint to the Newtonian motion of the $N$-particle system. This is only one constraint equation for $3N$ variables, thus we have some freedom of choice.

A dynamical constraint may always be put in terms of constraint forces. A particularly economical and ``impartial'' prescription for the definition of these forces was given by C. F. Gauss in 1829:
next up previous
F. J. Vesely / University of Vienna