On the Lagrangian meaning of dissipative anomaly in scalar turbulence

Massimo Cencini



Abstract

Active and passive scalars transported by an incompressible two-dimensional conductive fluid are investigated. It is shown that a passive scalar displays a direct energy cascade towards the small scales while the active magnetic potential builds up large-scale structures in an inverse cascade process. Correlations between scalar input and particle trajectories are shown to be responsible for those dramatic differences as well as for the behavior of dissipative anomalies.


Elenco dei partecipanti al convegno di Bari.