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Full-Text Articles in Physics
Population Annealing: Analysis, Optimization And Application To Glassy Systems, Christopher A. Amey
Population Annealing: Analysis, Optimization And Application To Glassy Systems, Christopher A. Amey
Doctoral Dissertations
Glasses are physical systems that lack structural order and exhibit extremely slow dynamics, which makes them challenging to study. In this thesis we apply Monte Carlo methods to two distinct glassy systems: the 3D Edwards-Anderson spin glass and a binary hard sphere fluid. While significant progress has been made on theoretical and experimental fronts, much of our current understanding of glasses has come from numerical simulations. Standard Monte Carlo techniques cannot be used to perform equilibrium simulations due to slow dynamics in the glassy regime. As a result, several specialized techniques have been developed in order to simulate such systems, …
Population Annealing Monte Carlo Studies Of Ising Spin Glasses, Wenlong Wang
Population Annealing Monte Carlo Studies Of Ising Spin Glasses, Wenlong Wang
Doctoral Dissertations
Spin glasses are spin-lattice models with quenched disorder and frustration. The mean field long-range Sherrington-Kirkpatrick (SK) model was solved by Parisi and displays replica symmetry breaking (RSB), but the more realistic short-range Edwards-Anderson (EA) model is still not solved. Whether the EA spin glass phase has many pairs of pure states as described by the RSB scenario or a single pair of pure states as described by two-state scenarios such as the droplet/scaling picture is not known yet. Rigorous analytical calculations of the EA model are not available at present and efficient numerical simulations of spin glasses are crucial in …