Organization and energy properties of metastable states for the random-field Ising model |
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| Authors: | Paolo Bortolotti Vittorio Basso Alessandro Magni Giorgio Bertotti |
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| Institution: | 1. College of Materials and Textile Engineering, Jiaxing University, Jiaxing 314001, China;2. MOE Key Laboratory of Macromolecular Synthesis and Functionalization, Department of Polymer Science and Engineering, Zhejiang University, Hangzhou 310007, China;1. Department of Chemical and Biomolecular Engineering, University of California, Los Angeles, CA 90095, United States;2. Department of Chemistry and Biochemistry, University of California, Los Angeles, CA 90095, United States;3. Stanford Genome Technology Center, Stanford University, Palo Alto, CA 94304, United States;4. Department of Biochemistry, Stanford University School of Medicine, Stanford, CA 94305, United States;1. Digital Manufacturing and Design Centre, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore;2. Engineering and Product Development Pillar, Singapore University of Technology and Design, 8 Somapah Road, Singapore 487372, Singapore;1. Institute of Electronic Structure and Laser (IESL), Foundation for Research and Technology-Hellas (FORTH), Heraklion, 71003, Greece;2. Physics Department, University of Crete, Heraklion, 71003, Crete, Greece |
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| Abstract: | Random-field Ising model (RFIM) systems are characterized by a large number of metastable states corresponding to local minima of the system energy with respect to single spin flip. We classified the minima in a hierarchical way based on the possibility of a given state to escape from a basin of mutually reachable states. We investigate the energy properties of the metastable states in relation to the basin they belong to: states of particularly high energy, obtained by fast-quenching randomly initial spin configurations, tend to have access to a complex structure of correlated basins, opposite to what is found for low-energy states. The purpose of this paper is to investigate the connection between the properties of the basin oriented graph and the energy of the corresponding states. |
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