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### New Scenario for Transition to Turbulence

Добавлено: **Вс дек 18, 2005 13:51**

**J.F**

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 equations, 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. The results of computation are in a sharp contradiction with Tribelsky M.I and K. Tsuboi's work (Phys. Rev. Lett. 76 1631 (1996)), in which the influence of the thermal fluctuations was not taken into account and a principally erroneous scheme of numerical modeling of chaos on the lattice was used. 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.

http://www.math.ntnu.no/conservation/2005/

### Re: New Scenario for Transition to Turbulence

Добавлено: **Пн апр 24, 2006 5:26**

**J.F.**

J.F писал(а):
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 equations, 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. The results of computation are in a sharp contradiction with Tribelsky M.I and K. Tsuboi's work (Phys. Rev. Lett. 76 1631 (1996)), in which the influence of the thermal fluctuations was not taken into account and a principally erroneous scheme of numerical modeling of chaos on the lattice was used. 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.

http://www.math.ntnu.no/conservation/2005/041.pdf
http://www.math.ntnu.no/conservation/2005/

http://www.math.ntnu.no/conservation/2005/041.pdf
http://www.math.ntnu.no/conservation/2005/041.html
http://www.math.ntnu.no/conservation/2005/041.html