Diffusers, potential slides, and surmountability

Iddo Eliazar and Joseph Klafter

Physica A: Statistical Mechanics and its Applications, 2006, vol. 361, issue 2, 373-393

Abstract: A diffuser traversing an infinitely steep ‘potential slide’ might never overcome it. In such cases, the notion of First Passage Time—‘how long would it take till the diffuser surmounts the slide?’—is inadequate. Rather, the notion of relevance is that of Peak Height—‘how high-up the potential slide would the diffuser reach?’. Placing the ‘potential slide’ on the non-negative half-line, the Global Minimum attained by the diffuser's trajectory becomes a universal measure for the Peak Height.

Keywords: Diffuser systems; Potential slides; Surmountability; Global minima; Reverse-engineering; Limit-laws of global minimum distributions; Scale-free global minimum distributions; Power laws (search for similar items in EconPapers)
Date: 2006
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Persistent link: https://EconPapers.repec.org/RePEc:eee:phsmap:v:361:y:2006:i:2:p:373-393

DOI: 10.1016/j.physa.2005.06.055

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