Physics – Condensed Matter – Disordered Systems and Neural Networks
Scientific paper
2007-06-12
Phys. Rev. E 76, 061106 (2007)
Physics
Condensed Matter
Disordered Systems and Neural Networks
4 pages, 2 figures
Scientific paper
We present Onsager formalism applied to random networks with arbitrary degree distribution. Using the well-known methods of non-equilibrium thermodynamics we identify thermodynamic forces and their conjugated flows induced in networks as a result of single node degree perturbation. The forces and the flows can be understood as a response of the system to events, such as random removal of nodes or intentional attacks on them. Finally, we show that cross effects (such as thermodiffusion, or thermoelectric phenomena), in which one force may not only give rise to its own corresponding flow, but to many other flows, can be observed also in complex networks.
Fronczak Agata
Fronczak Piotr
Holyst Janusz A.
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