Random Multiplicative Process Appearing in "Critical State" of Stochastic Many-Body System(General)
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概要
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The author proposes a stochastic model system, that consists of a finite number of elements and shows "critical behaviors" for a certain range of the system parameter. The constituent elements are assumed to interact with each other in a mean-field way. It is shown that the temporal evolution of the order parameter of the system becomes a random multiplicative process, when the system is in the "critical state". As a result, the state variables display large fluctuations whose statistical natures are characterized by power-laws. We consider that the present model provides a possible explanation for the ubiquitousness of power-laws in the world.
- 社団法人日本物理学会の論文
- 2006-08-15
著者
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Hashimoto Noboru
Department of Orthodontics, Osaka Dental University
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Hashimoto Noboru
Department Of Integrated Human Sciences School Of Dentistry Health Sciences University Of Hokkaido
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Hashimoto Noboru
Department Of General Education
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- Random Multiplicative Process Appearing in "Critical State" of Stochastic Many-Body System(General)
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