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Volumn 77, Issue 4, 2008, Pages

Optimization of random searches on defective lattice networks

Author keywords

[No Author keywords available]

Indexed keywords

BOUNDARY CONDITIONS; CRYSTAL LATTICES; OPTIMIZATION; PROBLEM SOLVING; RANDOM PROCESSES;

EID: 41649114545     PISSN: 15393755     EISSN: 15502376     Source Type: Journal    
DOI: 10.1103/PhysRevE.77.041101     Document Type: Article
Times cited : (12)

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    • Which is the case for relative large lattices and not too long simulation times, two conditions observed in the present work.
    • Which is the case for relative large lattices and not too long simulation times, two conditions observed in the present work.
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    • The simpler choice of setting λ as in Eq. 11, but to assume λ0 arbitrary-e.g., λ0 = rv -does not alter qualitatively our results, as we have checked.
    • The simpler choice of setting λ as in Eq. 11, but to assume λ0 arbitrary-e.g., λ0 = rv -does not alter qualitatively our results, as we have checked.
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    • An alternative is to notice that the mean step in the lattice with sites and defects should be smaller than both (i) the mean step in a lattice with sites only and (ii) the mean step in a lattice with defects only, thus leading to the definition 1/ t +1/ f. We prefer to keep defined by the integral Eq. 5 and to change the integration limits λ0 and λ.
    • An alternative is to notice that the mean step in the lattice with sites and defects should be smaller than both (i) the mean step in a lattice with sites only t and (ii) the mean step in a lattice with defects only, thus leading to the definition 1/ 1/ t +1/ f. We prefer to keep defined by the integral Eq. 5 and to change the integration limits λ0 and λ.


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