Diffusion on hierarchical systems of weakly-coupled networks
Grzegorz Siudem , Janusz Hołyst
AbstractWe analyzed diffusion dynamics on weakly-coupled networks (interconnected networks)by means of separation of time scales. Using an adiabatic approximation we reduced thesystem dynamics to a Markov chain with aggregated variables and derived a transportequation that is analogous to Fick’s First Law and includes a driving force. Entropy produc-tion is a sum of microscopic entropy transport, which results from the particle’s migrationbetween networks of different topologies and macroscopic entropy production of theMarkov chain. Equilibrium particles partition between different sub-networks dependsonly on internal sub-network parameters. By changing structure of networks one can notonly modify diffusion constants but can also induce or reverse the direction of the particles’flow between different networks. Our framework, confirmed by numerical simulations,is also useful for considering diffusion in nested systems corresponding to hierarchicalnetworks with several different time scales thus it can serve to uncover hidden hierarchylevels from observations of diffusion processes.
|Corporate author||Wydział Fizyki Politechniki Warszawskiej (Wydz.Fizyki PW)|
|Journal series||Physica A-Statistical Mechanics and Its Applications, ISSN 0378-4371, (A 30 pkt)|
|Publication size in sheets||0.55|
|Keywords in English||Complex networks, Hierarchical systems, Diffusion dynamic|
|project||Computing Real-World Phenomena with Dynamically Changing Complex Networks . Project leader: Hołyst Janusz,
, Phone: 22 234 7133, start date 01-06-2009, end date 30-11-2012, FP7-ICT-2009-5, Completed
Self-Organised information PrOcessing, CriticaLity and Emergence in multilevel Systems . Project leader: Hołyst Janusz, , Phone: 22 234 7133, start date 01-12-2012, end date 30-11-2015, 317534, Completed
Reverse EngiNeering of sOcial Information pRocessing. Project leader: Hołyst Janusz, , Phone: 22 234 7133, application date 28-04-2015, start date 01-01-2016, end date 31-12-2019, 691152, Implemented
|Score|| = 30.0, ArticleFromJournal|
= 30.0, ArticleFromJournal
|Publication indicators||= 0; : 2016 = 1.324; : 2017 = 2.132 (2) - 2017=2.076 (5)|
* presented citation count is obtained through Internet information analysis and it is close to the number calculated by the Publish or Perish system.