Banca de DEFESA: THIAGO CRISOSTOMO CARLOS NUNES

Uma banca de DEFESA de DOUTORADO foi cadastrada pelo programa.
DISCENTE : THIAGO CRISOSTOMO CARLOS NUNES
DATA : 08/09/2017
HORA: 09:00
LOCAL: Auditório do DFTE
TÍTULO:

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

PALAVRAS-CHAVES:

complex networks, nonextensive statistical mechanics, universality, Bianconi-Barabási Model, Euclidean Distance

PÁGINAS: 127
GRANDE ÁREA: Ciências Exatas e da Terra
ÁREA: Física
SUBÁREA: Física Geral
RESUMO:

Scale-free networks are quite popular nowadays since many systems are well represented by such structures. In order to study these systems, several models were proposed. However, most of them do not take into account the node-to-node Euclidean distance, i.e., the geographical distance. In real networks, the distance between sites can be very relevant, e.g., those cases where it is intended to minimize costs. Within this scenario we studied the role of dimensionality d in the Bianconi-Barabási model with a preferential attachment growth involving Euclidean distances. The preferential attachment in this model follows the rule , where  characterizes the fitness of the i-th site and is randomly chosen within the (0, 1] interval. We verified that the degree distribution P(k) for dimensions d = 1,2,3, 4 are well fitted by ,   is the q-exponential function naturally emerging within nonextensive statistical mechanics. We determine the index q and  as functions of the quantities and d, and numerically verify that both present a universal behavior with respect to the scaled variable  The same behavior also has been displayed by the dynamical 𝛽 exponent which characterizes the steadily growing number of links of a given site.

MEMBROS DA BANCA:
Externo à Instituição - ANTONIO DE MACEDO FILHO - UESPI
Externo à Instituição - DANIEL JUDSON BEZERRA SOARES - UFCG
Interno - 2492756 - JOAO MEDEIROS DE ARAUJO
Presidente - 6346140 - LUCIANO RODRIGUES DA SILVA
Interno - 1672854 - RAIMUNDO SILVA JUNIOR
Externo à Instituição - SAMURAÍ GOMES DE AGUIAR BRITO - UFRN