Dynamics and Statistics of the Fermi--Pasta--Ulam $\beta$--model with different ranges of particle interactions

Helen Christodoulidi, Tassos Bountis, Constantino Tsallis +1

In the present work we study the Fermi--Pasta--Ulam (FPU) $\beta$--model involving long--range interactions (LRI) in both the quadratic and quartic potentials, by introducing two indep…