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Scaling laws in the diffusion limited aggregation of persistent random walkers

Author

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  • Nogueira, Isadora R.
  • Alves, Sidiney G.
  • Ferreira, Silvio C.

Abstract

We investigate the diffusion limited aggregation of particles executing persistent random walks. The scaling properties of both random walks and large aggregates are presented. The aggregates exhibit a crossover between ballistic and diffusion limited aggregation models. A non-trivial scaling relation ξ∼ℓ1.25 between the characteristic size ξ, in which the cluster undergoes a morphological transition, and the persistence length ℓ, between ballistic and diffusive regimes of the random walk, is observed.

Suggested Citation

  • Nogueira, Isadora R. & Alves, Sidiney G. & Ferreira, Silvio C., 2011. "Scaling laws in the diffusion limited aggregation of persistent random walkers," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 390(23), pages 4087-4094.
    • Handle: RePEc:eee:phsmap:v:390:y:2011:i:23:p:4087-4094
    DOI: 10.1016/j.physa.2011.06.077
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    References listed on IDEAS

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    1. Menshutin, Anton Yu. & Shchur, Lev N. & Vinokour, Valery M., 2008. "Finite size effect of harmonic measure estimation in a DLA model: Variable size of probe particles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(25), pages 6299-6309.
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    3. Bracher, Christian, 2004. "Eigenfunction approach to the persistent random walk in two dimensions," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 331(3), pages 448-466.
    4. S. Ferreira, 2004. "Effects of the screening breakdown in the diffusion-limited aggregation model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 42(2), pages 263-269, November.
    5. Mendes, Rosemairy L. & Santos, Anésia A. & Martins, M.L. & Vilela, M.J., 2001. "Cluster size distribution of cell aggregates in culture," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 298(3), pages 471-487.
    6. Somfai, Ellák & C. Ball, Robin & E. Bowler, Neill & M. Sander, Leonard, 2003. "Correction to scaling analysis of diffusion-limited aggregation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 325(1), pages 19-25.
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    Cited by:

    1. Nasehnejad, Maryam & Nabiyouni, G. & Gholipour Shahraki, Mehran, 2018. "Thin film growth by 3D multi-particle diffusion limited aggregation model: Anomalous roughening and fractal analysis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 135-147.
    2. Salcedo-Sanz, S. & Cuadra, L., 2019. "Hybrid L-systems–Diffusion Limited Aggregation schemes," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 514(C), pages 592-605.
    3. Braga, F.L. & Mattos, O.A. & Amorin, V.S. & Souza, A.B., 2015. "Diffusion limited aggregation of particles with different sizes: Fractal dimension change by anisotropic growth," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 429(C), pages 28-34.

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