New Scenario for Transition to Turbulence. Turbulence Like Quantum Chaos in Three Dimensional Model of Euclidian Quantum Field Theory

Numerical-analytical study of the three-dimensional nonlinear stochastic partial differential equation, analogous to that proposed by V. N. Nikolaevskii [Recent Advances in Engineering Science (Springer – Verlag, Berlin. 1989)] to describe longitudinal seismic waves, is presented. The equation has a threshold of short-wave instability and symmetry, providing long-wave dynamics. Proposed new mechanism for quantum chaos generating in nonlinear dynamical systems. The hypothesis is said, that physical turbulence could be identified with quantum chaos of considered type