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Showing 1 to 10 of 10 for “"Generalized Langevin Equation"”.
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Nonadiabatic electron transfer in the condensed phase, via semiclassical and Langevin equation approach
… the spin-coherent representation. The resulting equation of motion is a classical-like ordinary differential equation subject to a two-ended boundary condition. The boundary value problem is solved using the "near real trajectory" algorithm. This method is applied to three scattering problems to …
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Slow dynamics in supercooled liquids : matrix formalism, mode coupling and glass transition
… theory (MCT). Following the real-time generalized Langevin equation in Newtonian liquids, the dynamic Gaussian factorization scheme leads to mode-coupling (MC) closures. As an alternative approach to the projection operator technique, the matrix formalism based on the complete basis set …
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CRITICAL DYNAMICS OF LIQUID CRYSTAL ABOVE THE ISOTROPIC - NEMATIC PHASE TRANSITION
… We first derive the complete quadratic dynamic equations for molecular orientation and translational velocity, based on Mori's theory of the generalized Langevin equation. Our problem differs from the well studied problem of binary fluids in (1)the parameter is not conservative and (2)there are …
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Processing random signals in neuroscience, electrical engineering and operations research
… addressed by different versions of a generalized Langevin equation. Our mathematical models utilize stochastic differential equations (SDEs) and stochastic optimal control, both of which were born in the soil of electrical engineering. Central to this dissertation is a brain-physics …
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Theoretical investigations of the role of excluded volume, topological constraints, and attractive forces in the slow dynamics of soft matter systems
… The starting point for all such theories is the generalized Langevin equation, which is characterized by the force-force time correlation function. By developing a self-consistent theory for the force correlations in terms of the packing structure of the fluid we are able to predict a dramatic …
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Diffusion of light adsorbates on transition metal surfaces
… for a particle on a flat surface, obeying the Generalized Langevin Equation with exponential memory friction, is calculated analytically. In Chapter 4 the analytical ISF is calculated for quantum Brownian motion and for coherent tunneling dynamics in a tight binding system. The bounce method …
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Memory and fluctuations in chemical dynamics
… a theory that maps surface vibrations to a generalized Langevin equation (GLE). Two projection schemes are considered. The first scheme projects the motion of the entire solid substrate onto the motion of molecular adsorbates. The second scheme projects onto both the motion of adsorbates and …
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Multiscale models for structure and dynamics of confined fluids
… transport. We discuss a combined memory function equation (MFE) and generalized Langevin equation (GLE) based approach (referred to as MFE/GLE formulation) to characterize thermal noise in molecular fluids. Using MFE/GLE formulation in conjunction with MD simulation, we extract and analyze the …
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Study of Coulomb collisions and magneto-ionic propagation effects on incoherent scatter radar measurements at Jicamarca
… by Coulomb collisions, are described by a generalized Langevin equation with velocity-dependent friction and diffusion coefficients taken from the standard Fokker-Planck collision model of Rosenbluth et al. (1957). A statistical analysis of the simulated trajectories shows that the ion …
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Data-driven acceleration of molecular dynamics simulation for nanoscale fluids with coarse-grained and surrogate modeling
Submission published under a 24 month embargo labeled 'Closed Access', the embargo will last until 2027-05-01