Self-quenched dynamics

J. Török; S. Krishnamurthy; J. Kertész; S. Roux

doi:10.1007/s100510070017

Self-quenched dynamics

J. Török^*, S. Krishnamurthy, J. Kertész, S. Roux

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

Abstract (may include machine translation)

We introduce a model for the slow relaxation of an energy landscape caused by its local interaction with a random walker whose motion is dictated by the landscape itself. By choosing relevant measures of time and potential this self-quenched dynamics can be mapped on to the "True" Self-Avoiding Walk model. This correspondence reveals that the average distance of the walker at time t from its starting point is R(t) ∼ log(t)^γ, where γ = 2/3 for one dimension and 1/2 for all higher dimensions. Furthermore, the evolution of the landscape is similar to that in growth models with extremal dynamics.

Original language	English
Pages (from-to)	697-701
Number of pages	5
Journal	European Physical Journal B
Volume	18
Issue number	4
DOIs	https://doi.org/10.1007/s100510070017
State	Published - 2 Dec 2000
Externally published	Yes

Keywords

05.40.Fb Random walks and Levy flights
05.50.+q Lattice theory and statistics (Ising, Potts, etc.)
05.65.+b Self-organized systems

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10.1007/s100510070017

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abstract = "We introduce a model for the slow relaxation of an energy landscape caused by its local interaction with a random walker whose motion is dictated by the landscape itself. By choosing relevant measures of time and potential this self-quenched dynamics can be mapped on to the {"}True{"} Self-Avoiding Walk model. This correspondence reveals that the average distance of the walker at time t from its starting point is R(t) ∼ log(t)γ, where γ = 2/3 for one dimension and 1/2 for all higher dimensions. Furthermore, the evolution of the landscape is similar to that in growth models with extremal dynamics.",

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T1 - Self-quenched dynamics

AU - Török, J.

AU - Krishnamurthy, S.

AU - Kertész, J.

AU - Roux, S.

PY - 2000/12/2

Y1 - 2000/12/2

N2 - We introduce a model for the slow relaxation of an energy landscape caused by its local interaction with a random walker whose motion is dictated by the landscape itself. By choosing relevant measures of time and potential this self-quenched dynamics can be mapped on to the "True" Self-Avoiding Walk model. This correspondence reveals that the average distance of the walker at time t from its starting point is R(t) ∼ log(t)γ, where γ = 2/3 for one dimension and 1/2 for all higher dimensions. Furthermore, the evolution of the landscape is similar to that in growth models with extremal dynamics.

AB - We introduce a model for the slow relaxation of an energy landscape caused by its local interaction with a random walker whose motion is dictated by the landscape itself. By choosing relevant measures of time and potential this self-quenched dynamics can be mapped on to the "True" Self-Avoiding Walk model. This correspondence reveals that the average distance of the walker at time t from its starting point is R(t) ∼ log(t)γ, where γ = 2/3 for one dimension and 1/2 for all higher dimensions. Furthermore, the evolution of the landscape is similar to that in growth models with extremal dynamics.

KW - 05.40.Fb Random walks and Levy flights

KW - 05.50.+q Lattice theory and statistics (Ising, Potts, etc.)

KW - 05.65.+b Self-organized systems

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DO - 10.1007/s100510070017

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VL - 18

SP - 697

EP - 701

JO - European Physical Journal B

JF - European Physical Journal B

IS - 4

ER -

Self-quenched dynamics

Abstract (may include machine translation)

Keywords

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