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Diffusive processes: random walkers with memory

Grant number: 11/06757-0
Support Opportunities:Regular Research Grants
Duration: July 01, 2011 - September 30, 2013
Field of knowledge:Physical Sciences and Mathematics - Physics
Principal Investigator:Marco Antonio Alves da Silva
Grantee:Marco Antonio Alves da Silva
Host Institution: Faculdade de Ciências Farmacêuticas de Ribeirão Preto (FCFRP). Universidade de São Paulo (USP). Ribeirão Preto , SP, Brazil

Abstract

This project aims to develop models of random walkers on the lattice. Characteristic quantities are obtained, such as the diffusion coefficient, the first and second moment of the distributions. Another important point is to construct phase diagrams in the generalization of related models and their application to real systems such as economic phenomena and Alzheimer's disease. (AU)

Articles published in Agência FAPESP Newsletter about the research grant:
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Scientific publications (20)
(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)
ALVES, G. A.; DE ARAUJO, J. M.; CRESSONI, J. C.; DA SILVA, L. R.; DA SILVA, M. A. A.; VISWANATHAN, G. M.. Superdiffusion driven by exponentially decaying memory. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, . (11/06757-0, 11/13685-6)
CRESSONI, J. C.; VISWANATHAN, G. M.; FERREIRA, A. S.; DA SILVA, M. A. A.. Alzheimer random walk model: Two previously overlooked diffusion regimes. Physical Review E, v. 86, n. 4, 1, . (11/06757-0, 11/13685-6)
DINIZ, R. M. B.; CRESSONI, J. C.; DA SILVA, M. A. A.; MARIZ, A. M.; DE ARAUJO, J. M.. Narrow log-periodic modulations in non-Markovian random walks. Physical Review E, v. 96, n. 6, . (11/06757-0, 11/13685-6, 17/01176-6)
DA SILVA, M. A. A.; CRESSONI, J. C.; SCHUETZ, GUNTER M.; VISWANATHAN, G. M.; TRIMPER, STEFFEN. Non-Gaussian propagator for elephant random walks. Physical Review E, v. 88, n. 2, . (11/21089-4, 11/13685-6, 11/06757-0)
DE LACERDA, K. J. C. C.; CRESSONI, J. C.; VISWANATHAN, G. M.; DA SILVA, M. A. A.. Log-periodicity can appear in a non-Markovian random walk even if there is perfect memory of its history. EPL, v. 130, n. 2, . (11/06757-0, 11/13685-6)
GRANZOTTI, C. R. F.; RIBEIRO, F. L.; MARTINEZ, A. S.; DA SILVA, M. A. A.. Persistence length convergence and universality for the self-avoiding random walk. Journal of Physics A-Mathematical and Theoretical, v. 52, n. 7, . (16/03918-7, 12/03823-5, 11/06757-0)
DA SILVA, M. A. A.; VISWANATHAN, G. M.; CRESSONI, J. C.. A two-dimensional non-Markovian random walk leading to anomalous diffusion. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 421, p. 522-532, . (11/06757-0, 11/13685-6)
MOURA, THIAGO R. S.; VISWANATHAN, G. M.; DA SILVA, M. A. A.; CRESSONI, J. C.; DA SILVA, L. R.. Transient superdiffusion in random walks with a q-exponentially decaying memory profile. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 453, p. 259-263, . (11/06757-0, 11/13685-6)
GRANZOTTI, C. R. F.; MARTINEZ, A. S.; DA SILVA, M. A. A.. Scaling analysis of random walks with persistence lengths: Application to self-avoiding walks. PHYSICAL REVIEW E, v. 93, n. 5, p. 6-pg., . (11/06757-0, 12/03823-5)
DE LACERDA, K. J. C. C.; DA SILVA, L. R.; VISWANATHAN, G. M.; CRESSONI, J. C.; DA SILVA, M. A. A.. A random walk model with a mixed memory profile: Exponential and rectangular profile. PHYSICA A-STATISTICAL MECHANICS AND ITS APPLICATIONS, v. 597, p. 6-pg., . (11/06757-0, 11/13685-6)
CRESSONI, J. C.; VISWANATHAN, G. M.; FERREIRA, A. S.; DA SILVA, M. A. A.. Weakly anomalous diffusion with non-Gaussian propagators. Physical Review E, v. 86, n. 2, 1, . (11/06757-0, 11/13685-6)
GRANZOTTI, C. R. F.; MARTINEZ, A. S.; DA SILVA, M. A. A.. Scaling analysis of random walks with persistence lengths: Application to self-avoiding walks. Physical Review E, v. 93, n. 5, . (11/06757-0, 12/03823-5)
DA SILVA, M. A. A.; VISWANATHAN, G. M.; CRESSONI, J. C.. Ultraslow diffusion in an exactly solvable non-Markovian random walk. Physical Review E, v. 89, n. 5, . (11/06757-0, 11/13685-6)
BORGES, G. M.; FERREIRA, A. S.; DA SILVA, M. A. A.; CRESSONI, J. C.; VISWANATHAN, G. M.; MARIZ, A. M.. Superdiffusion in a non-Markovian random walk model with a Gaussian memory profile. European Physical Journal B, v. 85, n. 9, . (11/06757-0, 11/13685-6)
CRESSONI, J. C.; VISWANATHAN, G. M.; DA SILVA, M. A. A.. Exact solution of an anisotropic 2D random walk model with strong memory correlations. Journal of Physics A-Mathematical and Theoretical, v. 46, n. 50, . (11/06757-0, 11/13685-6)
CRESSONI, J. C.; DA SILVA, L. R.; VISWANATHAN, G. M.; DA SILVA, M. A. A.. Robustness of the non-Markovian Alzheimer walk under stochastic perturbation. EPL, v. 100, n. 6, . (11/06757-0, 11/13685-6)
DINIZ, R. M. B.; CRESSONI, J. C.; DA SILVA, M. A. A.; MARIZ, A. M.; DE ARAUJO, J. M.. Narrow log-periodic modulations in non-Markovian random walks. PHYSICAL REVIEW E, v. 96, n. 6, p. 7-pg., . (11/06757-0, 11/13685-6, 17/01176-6)
CRESSONI, J. C.; VISWANATHAN, G. M.; FERREIRA, A. S.; DA SILVA, M. A. A.. Weakly anomalous diffusion with non-Gaussian propagators. Physical Review E, v. 86, n. 2, p. 5-pg., . (11/06757-0, 11/13685-6)
CRESSONI, J. C.; VISWANATHAN, G. M.; FERREIRA, A. S.; DA SILVA, M. A. A.. Alzheimer random walk model: Two previously overlooked diffusion regimes. Physical Review E, v. 86, n. 4, p. 5-pg., . (11/06757-0, 11/13685-6)
ALVES, G. A.; DE ARAUJO, J. M.; CRESSONI, J. C.; DA SILVA, L. R.; DA SILVA, M. A. A.; VISWANATHAN, G. M.. Superdiffusion driven by exponentially decaying memory. JOURNAL OF STATISTICAL MECHANICS-THEORY AND EXPERIMENT, v. N/A, p. 10-pg., . (11/06757-0, 11/13685-6)

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