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  • 1
    Electronic Resource
    Electronic Resource
    Springer
    Journal of statistical physics 66 (1992), S. 1215-1224 
    ISSN: 1572-9613
    Keywords: Surface reconstruction ; phase transitions
    Source: Springer Online Journal Archives 1860-2000
    Topics: Physics
    Notes: Abstract The zero-temperature phase diagram is rigorously obtained for a two-dimensional lattice model with four energy parameters. It is shown that the parameter space can be divided into regions, together with their boundaries, such that in each region the ground-state configurations are of one of seven different types. These types include one which is nondegenerate, four which are doubly degenerate, one which is infinitely degenerate but with no residual entropy, and one which is infinitely degenerate and has a nonzero residual entropy. The Pirogov-Sinai extension of the Peierls argument is used to establish the existence at low temperatures of four different types of ordered surface-reconstructed phases.
    Type of Medium: Electronic Resource
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  • 2
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    Massachusetts Institute of Technology and Woods Hole Oceanographic Institution
    Publication Date: 2022-05-25
    Description: Submitted in partial fulfillment of the requirements for the degree of Master of Science at the Massachusetts Institute of Technology and the Woods Hole Oceanographic Institution August 1989
    Description: The dynamics of deeply-towed cable/vehicle systems are governed by nonlinear partial differential equations and as a result, trajectory control is generally difficult using the available techniques. This work examines the possibility of utilizing parametric dynamic models in differential equation form, to present a far more tractable controls problem. A learning-model method for generating accurate approximations of this type is used, and the identification process is unique in that an analytically-based model provides the primary data sets, allowing for a priori characterization of system responses without using any real data. The performances of the parametric forms are then verified through comparison of model output against actual sea data obtained during recent cruises in the Caribbean and Mediterranean Seas. The respective merits and limitations of several different model structures are discussed, with respect to both pure performance and identification efficiency.
    Description: The Office of Naval Research is gratefully acknowledged for its financial support of my graduate education, under Contract N00014-85-G-0084; in addition, this work has been sponsored in part by the National Science Foundation under Contract OCE-8511431. Finally, the International Business Machines Corporation is acknowledged for graciously providing the computing facilities that were critical to this thesis.
    Keywords: Underwater exploration ; Vehicles, remotely piloted ; Oceanographic submersibles
    Repository Name: Woods Hole Open Access Server
    Type: Thesis
    Format: application/pdf
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