%0 Journal Article %1 noauthororeditor %A Foukzon, J. %D 2015 %J International Journal of Recent advances in Physics (IJRAP) %K 3D Nikolaevskii additive chaos noise quantum system thermal turbulence %N 1 %P 22 %R 10.14810/ijrap.2015.4102 %T New Scenario for Transition to Slow 3-D Turbulence Part I.Slow 1-D Turbulence in Nikolaevskii System %U https://wireilla.com/physics/ijrap/papers/4115ijrap02.pdf %V 4 %X Analyticalnon-perturbative study of thethree-dimensional nonlinear stochastic partialdifferential equation with additive thermal noise, analogous to thatproposed by V.N.Nikolaevskii 1-5 to describelongitudinal seismic waves, ispresented. Theequation has a threshold of short-waveinstability and symmetry, providing longwavedynamics.New mechanism of quantum chaos generating in nonlineardynamical systemswith infinite number of degrees of freedom is proposed. The hypothesis is said,that physical turbulence could be identifiedwith quantum chaos of considered type. It is shown that the additive thermal noise destabilizes dramatically the ground state of theNikolaevskii system thus causing it to make a direct transition from a spatially uniform to a turbulent state.

@article{noauthororeditor, abstract = {Analyticalnon-perturbative study of thethree-dimensional nonlinear stochastic partialdifferential equation with additive thermal noise, analogous to thatproposed by V.N.Nikolaevskii [1]-[5] to describelongitudinal seismic waves, ispresented. Theequation has a threshold of short-waveinstability and symmetry, providing longwavedynamics.New mechanism of quantum chaos generating in nonlineardynamical systemswith infinite number of degrees of freedom is proposed. The hypothesis is said,that physical turbulence could be identifiedwith quantum chaos of considered type. It is shown that the additive thermal noise destabilizes dramatically the ground state of theNikolaevskii system thus causing it to make a direct transition from a spatially uniform to a turbulent state. }, added-at = {2018-08-02T07:31:24.000+0200}, author = {Foukzon, J.}, biburl = {https://www.bibsonomy.org/bibtex/217f41d32fa70c6c7cfcbb99b70b4c52d/johnkenadi1985}, doi = {10.14810/ijrap.2015.4102}, interhash = {1396a222a5fb99539aebefbc8e4d377e}, intrahash = {17f41d32fa70c6c7cfcbb99b70b4c52d}, issn = {2201-1056}, journal = {International Journal of Recent advances in Physics (IJRAP) }, keywords = {3D Nikolaevskii additive chaos noise quantum system thermal turbulence}, month = {February}, number = 1, pages = 22, timestamp = {2018-08-02T07:31:24.000+0200}, title = {New Scenario for Transition to Slow 3-D Turbulence Part I.Slow 1-D Turbulence in Nikolaevskii System}, url = {https://wireilla.com/physics/ijrap/papers/4115ijrap02.pdf}, volume = 4, year = 2015 }