Institute for Problems in Mechanics, Russian
Academy of Sciences
101-1 ,Vernadskii Ave., Moscow, 119526, Russia
email: rylov@ipmnet.ru
Web site: http://rsfq1.physics.sunysb.edu/~rylov/yrylov.htm
or mirror Web site: http://gas-dyn.ipmnet.ru/~rylov/yrylov.htm
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The formalism of dynamics in the
space-time, where motion of free particles is primordially stochastic, is
considered. The conventional dynamic formalism, obtained for the space-time,
where the motion of free particles is primordially deterministic, seems to be
unsuitable. The statistical ensemble of stochastic (or deterministic) systems
is considered to be the main object of dynamics. At such an approach one can
describe deterministic, stochastic and quantum particles by means of the
uniform technique. The quantum particle is described as a stochastic particle,
i.e. without a reference to the quantum principles. Besides, by means of this
technique one can describe classical inviscid fluid. There are four different
versions of the formalism. One of versions uses equations, which describes
evolution of the labelling (Lagrangian coordinates at fixed initial conditions for the density
$\rho $ and the momentum density p. These fixed initial conditions enter in
the evolution equations. A nonuniqueness of irrotational flow and the mismatch w=v-p/m between
the velocity v and the momentum density p
appear at this description. The mismatch w is
determined by the fluid vorticity and by some arbitrary parameter. Appearance
of mismatch may be associated with the turbulence. The united formalism is
purely dynamic. Even describing stochastic systems, it does not refer to
probability and probabilistic structures.
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