Universal fluctuations in a simple disordered system

Th.M. Nieuwenhuizen; Mark Van Rossum

doi:10.1016/0375-9601(91)90247-6

Universal fluctuations in a simple disordered system

Th.M. Nieuwenhuizen, Mark Van Rossum

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Abstract / Description of output

The mapping Li=1+xiLi-1 is studied. The xi, i=1, 2, 3, are independent random variables with common distribution. This mapping describes growth under fluctuating conditions, as may occur, e.g., in biology and economics. It also shows up in the grand canonical description of a directed polymer, bound to a wall of a random (1+1)-dimensional medium, in the limit where the polymer length goes to infinity. It is proven here that there is no self-averaging in this ?thermodynamic? limit. Distribution functions which show this behavior explicitly are derived.

Original language	English
Pages (from-to)	461 - 464
Number of pages	4
Journal	Physics letters a
Volume	160
Issue number	5
DOIs	https://doi.org/10.1016/0375-9601(91)90247-6
Publication status	Published - 1991

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10.1016/0375-9601(91)90247-6

http://www.sciencedirect.com/science/article/pii/0375960191902476

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title = "Universal fluctuations in a simple disordered system",

abstract = "The mapping Li=1+xiLi-1 is studied. The xi, i=1, 2, 3, are independent random variables with common distribution. This mapping describes growth under fluctuating conditions, as may occur, e.g., in biology and economics. It also shows up in the grand canonical description of a directed polymer, bound to a wall of a random (1+1)-dimensional medium, in the limit where the polymer length goes to infinity. It is proven here that there is no self-averaging in this ?thermodynamic? limit. Distribution functions which show this behavior explicitly are derived.",

author = "Th.M. Nieuwenhuizen and {Van Rossum}, Mark",

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AU - Van Rossum, Mark

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AB - The mapping Li=1+xiLi-1 is studied. The xi, i=1, 2, 3, are independent random variables with common distribution. This mapping describes growth under fluctuating conditions, as may occur, e.g., in biology and economics. It also shows up in the grand canonical description of a directed polymer, bound to a wall of a random (1+1)-dimensional medium, in the limit where the polymer length goes to infinity. It is proven here that there is no self-averaging in this ?thermodynamic? limit. Distribution functions which show this behavior explicitly are derived.

U2 - 10.1016/0375-9601(91)90247-6

DO - 10.1016/0375-9601(91)90247-6

M3 - Article

SN - 0375-9601

VL - 160

SP - 461

EP - 464

JO - Physics letters a

JF - Physics letters a

IS - 5

ER -

Universal fluctuations in a simple disordered system

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