Supersymmetric theory of stochastic dynamics: Difference between revisions

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== Applications ==

=== Self-organized criticality and instantonic chaos ===

[[File:STS Phase Diagram.png|thumb|STS provides basic classification of stochastic dynamics based on whether the topological supersymmetry (TS) present in all stochastic models is spontaneously broken or unbroken (orderedsymmetric or symmetricordered), and whether the flow vector field is integrable or non-integrable (i.e., /chaotic). The symmetric phase with unbroken TS is denoted as (T). The ordered non-integrable phase can be referred to as chaos (C), as it hosts conventional deterministic chaos. The ordered integrable phase is the noise-induced chaos (N), as the dynamics is dominated by noise-induced instantons, which disappear in the deterministic limit so that N-phase collapses onto the border of the conventional deterministic chaos. As the noise intensity increases, TS is eventually restored]]

Since the late 80's,<ref name=EOC-T-30>{{cite book|last=A. Bass|first=Thomas|title = The Predictors : How a Band of Maverick Physicists Used Chaos Theory to Trade Their Way to a Fortune on Wall Street|url =https://books.google.com/books?id=MQ-xGC7BdS0C&pg=PA138|publisher = Henry Holt and Company |year =1999|isbn =9780805057560 |page =[https://books.google.com/books?id=MQ-xGC7BdS0C&pg=PA138 138] |access-date=12 November 2020}}</ref><ref name=EOC-T-20>{{cite web|last=H. Packard|first=Norman|title = Adaptation Toward the Edge of Chaos|url =https://books.google.com/books?id=8prgtgAACAAJ|publisher = University of Illinois at Urbana-Champaign, Center for Complex Systems Research |year =1988|access-date=12 November 2020}}</ref>