Soliton and multiphonon microdynamics of thermal conductivity of plutonium and uranium in the temperature range of martensitic phase transitions

Abstract

The microdynamics of nonlinear crystal lattice vibrations of Pu and U at temperatures of martensitic phase transitions has been studied. Using the Lenard-Jones potential, the dynamic equations are solved when the energy is transferred by solitons. The synchronism of solitons and the energy flux peaks demonstrates the staccato-effect. The temperature dependences of the thermal conductivity have maxima at the phase transitions. A spectral analysis shows that the main heat transfer is provided by rarefaction solitons. Upon the martensitic transition, the spectral density is transformed with “ignition” of the high-frequency region. The spectral density demonstrates maxima of the quasi-biphonon type.