irrespective of «1. This value is obtained for ¡¡ = «v/^ . Eq. 4.15.57 corresponds to a conservation of the adiabatic invariant of a non-relativistic particle at its passage through the front:
This result is not a stochastic one: for a purely transverse shock wave («1 = a2 = 0) for which it is impossible to introduce a coordinate system with E' = 0, a conservation of the particle adiabatic invariant takes place for a particle crossing the front of a wave: p2^/H = p2±/H2 . Eq. 4.15.58 is again a result of this relation for a non-relativistic particle.
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