Growth-collapse and decay-surge evolutions, and geometric Langevin equations

Iddo Eliazar and Joseph Klafter

Physica A: Statistical Mechanics and its Applications, 2006, vol. 367, issue C, 106-128

Abstract: We introduce and study an analytic model for physical systems exhibiting growth-collapse and decay-surge evolutionary patterns. We consider a generic system undergoing a smooth deterministic growth/decay evolution, which is occasionally interrupted by abrupt stochastic collapse/surge discontinuities. The deterministic evolution is governed by an arbitrary potential field. The discontinuities are multiplicative perturbations of random magnitudes, and their occurrences are state-dependent—governed by an arbitrary rate function. The combined deterministic-stochastic evolution of the system turns out to be governed by a geometric Langevin equation driven by a state-dependent noise.

Keywords: Langevin equations; Geometric Langevin equations; Growth-collapse systems; Decay-surge systems; Power-laws (search for similar items in EconPapers)
Date: 2006
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Citations: View citations in EconPapers (4)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:367:y:2006:i:c:p:106-128

DOI: 10.1016/j.physa.2005.11.026

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