Topologic Properties Of The Energy Landscape Network In Frustrated Systems

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Allaei, Hamid | 2010

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Type of Document: M.Sc. Thesis
Language: Farsi
Document No: 40786 (04)
University: Sharif University of Technology
Department: Physics
Advisor(s): Ejtehadi, Mohammad Reza
Abstract:
The study of Energy Landscape of physical systems has a key role in complex problems. In this project we have enumerated the energy landscape of a finite squared lattice spin glass with nearest neighbored interactions to study its behavior. We choose the coupling constants of this spin glass system with Heb rule. According to this rule the coupling constants are chosen in a way to make specific patterns of spin configuration as a local minimum. We have studied these spin glasses with different number of patterns. In our computation we saw a significant difference between spin glasses with odd and even number of patterns. We addressed this behavior to properties of coupling constant statistics. We also observed that the number of minima in the landscape is proportional to the logarithm of number of patterns. This is a good news for our system efficiency which states that the frustration and probability of being trapped in a none desirable local minimum increases much slower than the number of patterns.
Keywords:
Spin Glass ; Spin Glass with Pattern ; Energy Surface ; Energy Landscape ; Energy Minima ; Heb Rule