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DTSTAMP:20260815T170845Z
LAST-MODIFIED:20210120T180439Z
DTSTART:20210122T180000Z
DTEND:20210122T190000Z
UID:event2371@bu.edu
URL:http://physics.bu.edu/internal/events/show/2371
SUMMARY:The unreasonable effectiveness of cluster scaling
DESCRIPTION:Featuring Sakib Matin\, Boston University\, Physics Department\
	n\nPart of the Preliminary Oral Exam.\n\nEquilibrium statistical mechanics 
	requires assumptions such as a Hamiltonian description and ergodicity. Neve
	rtheless\, the tools of statistical mechanics have been successfully applie
	d to models in biology and economics. I will focus on a specific example.\n
	\nThe Fisher-Stauffer scaling method has been applied to models of percolat
	ion and the Ising model. I generalize the Fisher-Stauffer cluster scaling t
	o study the avalanches in the nearest-neighbor stochastic Olami-Feder-Chris
	tensen (OFC) model\, which is believed to be a non-equilibrium system. The 
	OFC model is a two-dimensional lattice of leaky integrate-and-fire sites. T
	he strength of the noise determines if the model is effectively ergodic or 
	non-ergodic. I show that the limit of vanishing dissipation corresponds to 
	a critical point. I show that the Fisher-Stauffer scaling holds when the OF
	C model is effectively ergodic. The scale invariant behavior is consistent 
	with the derived scaling laws. I derive universal scaling functions for the
	 avalanche distributions and dynamics. However\, Fisher-Stauffer scaling br
	eaks down when the OFC model is non-ergodic. These results indicates that e
	ffective ergodicity may be a sufficient criterion for the validity of certa
	in equilibrium tools such as cluster scaling.\n\n\n-----\n\nhttps://bostonu
	.zoom.us/j/96422657824?pwd=WUlnZlB3elZlQkgxZHpZeVBhL0pPQT09
LOCATION: \, \, 
STATUS:CONFIRMED
CLASS:PUBLIC
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