Introduction to Micro Life of Graphs. I.
2021, v.27, Issue 2, 159-196
Multiparticle systems on complicated metric graphs might have many
applications in physics, biology and social life. But the corresponding
science still does not exist. Here we start it with simplest examples
where there is quadratic interaction between neighboring particles
and deterministic external forces. In this introduction we consider
stable configurations and stable flows on one and two edge graphs.
Moreover, distribution of mean (as in virial theorem) kinetic and
potential energies along the graph is considered.
Keywords: metric graphs, multi particle systems, virial theorem, deterministic equilibrium, non-equilibrium