Monte Carlo Studies of Continuous Hamiltonian Systems Coupled to DissipativeMechanisms

摘要

My staff research on dissipative Hamiltonian systems has evolved from QuantumOptics into three areas over the past three years, exemplifying the type coherent and incoherent processes which when merged lead to dissipative relaxation: (1) High precision scaling and critical exponent relations were derived for the Heisenberg Ferromagnet which show new details that challenge existing theories; (2) Super-enhanced Backscattering of radiation was observed and explained as due to Fabry-Perot type multi-pass multiple scattering from rough thin films where coherency is broken by the spatial stochasticity of the medium leading to photon localization and the ensuing enhancement. Next we need to take higher order correlations into account to include memory effects akin to hysteresis that we studied in Quantum Optics; (3) Showed the necessity of taking the full potential (as opposed to muffin-tin potentials which are partials of the full potential) in the Wigner-Seitz cells of crystalline solids for the calculation of electronic energy levels, including the role of impurities such as sulfur and boron, and therefrom deriving microscopic stress-strain tonsorial relations to study crack propagation-embrittlement problems at the level of details of bonding orbitals. Next Molecular Dynamics will be performed to show effects of temperature on this micromechanical dynamics.