Banca de DEFESA: SAMURAI GOMES DE AGUIAR

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : SAMURAI GOMES DE AGUIAR
DATA : 13/12/2016
HORA: 09:00
LOCAL: Auditório do CCET
TÍTULO:

Role of dimensionality in complex networks: Connections with nonextensive statistical mechanics

PALAVRAS-CHAVES:

complex networks, nonextensive statistical mechanics, universality

PÁGINAS: 117
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
SUBÁREA: Física Geral
RESUMO:

Studies in complex networks are quite current and promote the integration of several areas of knowledge. Has been verified in previous research that the nonextensive statistical mechanics is the more suitable approach to describe the complex networks when there is long-range interactions between your constituents. At the thermodynamic limit the degree distribution is of the form P(k) ∝ e^(k/κ), where e_q is the q-exponential defined by e^z  ≡ [1 + (1 - q)z]^(1/(1-q) ) which optimizes the non-additive entropy S_q (when q→1, the Boltzmann-Gibbs entropy is recovered). In this thesis we have introduced a study of the d-dimensional geographic networks (Natal Model) which grow with preferential attachment involving Euclidean distance by introducing the term r^(-α_A )  (α_A  ≥ 0) into the preferential attachment rule. Given the connection between complex networks and the q-statistic, we numerically verified (for d = 1,2,3 e 4) that the degree distributions exhibit, for both q and κ, universal dependencies with respect to the variable α_A/d. In addition, the limit q = 1 is quickly reached when α_A/d → ∞. We also verified that other properties of the network also have universal dependencies with respect to α_A/d, such as: shortest path length ⟨l⟩, dynamic exponent β (from connectivity time evolution of the sites) and the entropy S_q of the degree distribution.

MEMBROS DA BANCA:
Interno - 346143 - ANANIAS MONTEIRO MARIZ
Externo à Instituição - CONSTATINO TSALLIS - CBPF
Externo à Instituição - EVALDO MENDONÇA FLEURY CURADO - CBPF
Interno - 345099 - LIACIR DOS SANTOS LUCENA
Presidente - 6346140 - LUCIANO RODRIGUES DA SILVA
Interno - 1294916 - MADRAS VISWANATHAN GANDHI MOHAN