2007/06/12 by Agata Fronczak, Piotr Fronczak, Janusz A. Hołyst +1
Physics and Astronomy · #Advanced Thermodynamics and Statistical Mechanics #Complex Network Analysis Techniques #Degree (music) #Flow (mathematics) #Mechanics #Non-equilibrium thermodynamics #Onsager reciprocal relations #Opinion Dynamics and Social Influence #Perturbation (astronomy) #Physics #Quantum mechanics #Statistical physics #Thermodynamics #cond-mat.dis-nn #cond-mat.stat-mech
paper · pdf · doi:10.1103/physreve.76.061106
published as Phys. Rev. E 76, 061106 (2007) · 4 pages, 2 figures
arxiv created 2007/06/12 · openalex publication_date 2007/12/05 · arxiv updated 2015/05/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
In this paper the linear theory of nonequilibrium thermodynamics, developed by Onsager and others, is applied to random networks with arbitrary degree distribution. Using the well-known methods of nonequilibrium 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 conjugated flow, but to many other flows, can be observed also in complex networks.