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Effects of Drive on the Sandpile Models and Using it to Control Criticality

Parsaeifard, Behnam | 2016

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  1. Type of Document: M.Sc. Thesis
  2. Language: Farsi
  3. Document No: 48899 (04)
  4. University: Sharif University of Technology
  5. Department: Physics
  6. Advisor(s): Moghimi Araghi, Saman
  7. Abstract:
  8. Self-Organized Criticality (SOC) is observed in different systems in nature. Hights of mountains earthquakes and traffic are a few examples. In such systems, without tuning external parameters critical behavior is found. In other words the dynamics of the system takes it towards criticality, where the correlation length is very large and scaling laws are observed. Due to scale invariance, events of any size are found; for example in the case of earthquakes, one can find earthquakes with any sizes in the earth. Each event causes a cost and larger events cause much larger cost. Therefore it would be of great importance if one could somehow destroy criticality and as a result diminish large and catastrophic events. Changing the drive of the system is one of the ways to achieve it. BTW and Manna models are of the simplest models which exibit SOC. In this thesis we consider two sandpile modes: BTW model and Manna model and through imposing local changes to the drive of the systems, try to take them off the criticality. It is observed that if the drive is altered in way to activate the small events, large events happen with much less probability. Also introducing a cost function we have found the optimum amount of change to minimize the total cost
  9. Keywords:
  10. Manna Model ; BTW Sandpile Model ; Self Organized Criticality ; Statistical Mechanics ; Abelian Sandpile Model

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