Quantum Deflagration and Supersonic Fronts of
Tunneling in Molecular Magnets
A study of the quantum effects in the propagation of burning fronts in molecular magnets. The key of the problem was to employ the escape rate out of the metastable states for molecular magnets that contains spin tunneling. This escape rate has sharp maxima at the values of the magnetic field corresponding to tunneling resonances. As in
the realistic materials there are many such resonances, a nontrivial problem of tabulation of the escape rate arises. The escape rate then enters the dynamic equations of the problem. The task was to find an algorithm for automatically finding all the resonances and constructing a non-equidistant grid for tabulating the escape rate. An extensive investigation of different regimes of the propagation of fronts of deflagration
with spin tunneling was being conducted in order to form a a general theory of quantum and thermal deflagration in magnetic molecules such as Mn-12 Ac.
Experimental Observation of Hydrodynamic
Surface Gravity Waves
The nonlinear Schrodinger equation describes several weakly nonlinear dispersive systems. Experimental observations in a one-dimensional wave tank shows great correspondence to predictions of the nonlinear Schrodinger equation in regards to soliton fission and supercontinuum generation. These results match the dynamics of
fiber-optic systems showing that phenomena are likely to be encountered in a wide range nonlinear systems described by NLS equations.
Source: Chabchoub, A. Hydrodynamic Supercontinuum. Physical review letters 111.5 02 Aug 2013: null. American Institute of Physics. 04 Oct 2013. Link http://link.aps.org/doi/10.1103/PhysRevLett.111.054104
For more information, please contact: Dr. Ken Park 254-710-2282