Non-differentiable model and its implications in the dynamics of a laser ablation plasma structure

Abstract

Summary form only given. In the present paper some implications in the multi-particle systems dynamics using an extended scale relativity model (for movements on non-differentiable curves (fractal curves) with an arbitrary and constant fractal dimension) both in its Galilean and relativistic versions are analyzed. For the fractal quantities, the conservation laws, particularly the energy conservation law, are deduced. The study of the fractal fluid dynamics generates conductive properties in the case of movement's synchronization both on differentiable and fractal scales, as well as convective properties in the absence of synchronization. The convective-type behaviour was analyzed by means of numerical simulations of the plasma expansion produced by laser ablation using the hydrodynamic and energy equations. The theoretical model describes quantitatively well the plasma plume behaviour at the early stages (at nanosecond time scale).