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Pathlength scaling in graphs with incomplete navigational information
Graph routing, Geometric routing, Navigability
2011/9/1
The graph-navigability problem concerns how one can nd as short paths as possible between a pair of vertices, given an incomplete picture of a graph.We study the navigability of graphs where the vert...
Frictional damping in radiative electrodynamics and its scaling to macroscopic systems
Abraham-Lorentz-Dirac equation, radiation force, Unruh radiation,frictional dissipation
2011/8/30
Radiation force in Abraham-Lorentz-Dirac equation is revisited for possible signature of irreversible action in the dynamics. The analysis shows that the classical electron can ‘dissipate’ out a certa...
Non-universal Interspecific Allometric Scaling of Metabolism
Allometry Interspecific Biological Scaling Metabolism Basal Metabolic Rate Maximum Metabolic Rate
2010/7/8
We extend a previously theory for the interspecific allometric scaling developed in a d+1-dimensional space of metabolic states. The time, which is characteristic of all biological processes, is inclu...
Tsallis scaling in the long-range Ising chain with competitive interactions
Competitive interactions Long-range Ising chain
2010/7/5
A numerically efficient transfer matrix approach is used to investigate the validity of the Tsallis scaling hypothesis in the long-range Ising spin chain with competitive interactions. In this model, ...