Transport in fractal networks

• Grant number: 10/00436-5
• Support Opportunities: Scholarships in Brazil - Scientific Initiation
• Start date: March 01, 2010
• End date: June 30, 2012
• Field of knowledge: Physical Sciences and Mathematics - Physics - General Physics
• Principal Investigator: Marcel Novaes
• Grantee: Leandro da Silva Boldrin
• Host Institution: Centro de Ciências Exatas e de Tecnologia (CCET). Universidade Federal de São Carlos (UFSCAR). São Carlos , SP, Brazil

Abstract

We will study the propagation of particles and waves in fractal networks, in particular the Sierpinski triangle. The "classical" dynamics consists of a Markov chain in which the particle which reaches a vertex may be scattered towards other vertices with different probabilities. The wave problem is defined by associating a unitary scattering matrix to each vertex. We shall study the dependence of several observables with the geometry of the network and an external magnetic field.