### Resumé

Originalsprog | Engelsk |
---|---|

Tidsskrift | Chemical Physics |

Vol/bind | 212 |

Udgave nummer | 1 |

Sider (fra-til) | 61-68 |

ISSN | 0301-0104 |

Status | Udgivet - 1996 |

### Citer dette

*Chemical Physics*,

*212*(1), 61-68.

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*Chemical Physics*, bind 212, nr. 1, s. 61-68.

**Universality of anomalous diffusion in extremely disordered systems.** / Dyre, Jeppe; Jacobsen, Jacob M.

Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › peer review

TY - JOUR

T1 - Universality of anomalous diffusion in extremely disordered systems

AU - Dyre, Jeppe

AU - Jacobsen, Jacob M.

PY - 1996

Y1 - 1996

N2 - The universal time-dependence of the mean-square displacement for motion in a random energy landscape with equal minima is evaluated analytically and numerically in the percolation path approximation (PPA), which was recently shown by extensive computer simulations in two and three dimensions [Dyre and Schrøder, cond-mat/9601052] to be more accurate than the standard effective medium approximation (EMA). According to the PPA the universal mean-square displacement in dimensionless units as function of time varies as 1/ln^2(1/t) for t going to zero. This implies a quite different short-time behavior than predicted by the EMA, where the universal mean-square displacement varies as 1/ln(1/t) at short times [Dyre and Jacobsen, Phys. Rev. E 52 (1995) 2429].

AB - The universal time-dependence of the mean-square displacement for motion in a random energy landscape with equal minima is evaluated analytically and numerically in the percolation path approximation (PPA), which was recently shown by extensive computer simulations in two and three dimensions [Dyre and Schrøder, cond-mat/9601052] to be more accurate than the standard effective medium approximation (EMA). According to the PPA the universal mean-square displacement in dimensionless units as function of time varies as 1/ln^2(1/t) for t going to zero. This implies a quite different short-time behavior than predicted by the EMA, where the universal mean-square displacement varies as 1/ln(1/t) at short times [Dyre and Jacobsen, Phys. Rev. E 52 (1995) 2429].

M3 - Journal article

VL - 212

SP - 61

EP - 68

JO - Chemical Physics

JF - Chemical Physics

SN - 0301-0104

IS - 1

ER -