THESIS
2019
xi, 107 pages, 30 unnumbered pages : illustrations (some color) ; 30 cm
Abstract
Statistical physics of spin systems provides a framework to investigate mechanisms
underneath information propagation on complex networks. This thesis strengthens
the bond between the branch of physics and network science and improves the
developing framework. Specifically, this thesis generalizes the topology of spin
systems from regular lattices to various types of complex networks and studies the
spin statistics in the systems with numerical simulation. After reviewing fundamental
statistical physics and graph theory, subsequent chapters analyse the topological
dependence of the systems’ thermal criticality and the extent of damage by freezing
spins with various centrality—a spin system’s critical temperature is lower on a small-world
network but higher on a scale-free netwo...[
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Statistical physics of spin systems provides a framework to investigate mechanisms
underneath information propagation on complex networks. This thesis strengthens
the bond between the branch of physics and network science and improves the
developing framework. Specifically, this thesis generalizes the topology of spin
systems from regular lattices to various types of complex networks and studies the
spin statistics in the systems with numerical simulation. After reviewing fundamental
statistical physics and graph theory, subsequent chapters analyse the topological
dependence of the systems’ thermal criticality and the extent of damage by freezing
spins with various centrality—a spin system’s critical temperature is lower on a small-world
network but higher on a scale-free network, and it is more destructive to a spin
system by freezing a spin with a high degree or a high information centrality. Lastly,
the thesis extends centrality measures to measures of efficiency in information
propagation, like joint sales potential, and discusses an algorithm that may locate a
group of nodes that has a high joint sales potential.
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