%0 Conference Proceedings %T Characterising stationary states in exclusion processes on networks %+ Laboratoire Charles Coulomb (L2C) %A Kern, Norbert %A Parmeggiani, Andrea %A Neri, Izaak %F Invité %< avec comité de lecture %Z L2C:12-310 %B Characterising stationary states in exclusion processes on networks %C MMontpellier, France %8 2013-03-25 %D 2013 %K exclusion process %K networks %K modelling %Z Physics [physics]/Condensed Matter [cond-mat]/Statistical Mechanics [cond-mat.stat-mech] %Z Physics [physics]/Physics [physics]/Biological Physics [physics.bio-ph] %Z Physics [physics]/Condensed Matter [cond-mat]/Disordered Systems and Neural Networks [cond-mat.dis-nn]Conference papers %X The notion of networks arises naturally in many problems: transmission of information, road networks, cytoskeletal transport and gene regulation are timely examples. It is often useful to envisage two complementary aspects defining these systems, rules for transmission/propagation on one hand and network topology on the other hand. We generalise a simple class of models, so-called 'exclusion processes', to networks. We outline how to solve for stationary states and provide a method to characterise these stationary states in a simple but quantifiable way. Such 'effective rate plots' will be seen to prove particularly useful for gaining intuition on the essence of these states and on the effect of the network structure. %G English %L hal-00805148 %U https://hal.science/hal-00805148 %~ CNRS %~ L2C %~ USART %~ MIPS %~ UNIV-MONTPELLIER %~ ANR %~ UM-2015-2021