Time-scale invariance of relaxation processes of density fluctuation in slow neutron scattering in liquid cesium - art. no. 057101

The realization of the idea of time-scale invariance for relaxation process es in liquids has been performed by the memory functions formalism. The bes t agreement with experimental data for the dynamic structure factor S(k, om ega) of liquid cesium near melting point in the range of wave vectors (0.4 Angstrom (-1) less than or equal to k less than or equal to 2.55 Angstrom ( -1)) is found with the assumption of concurrence of relaxation scales for m emory functions of third and fourth orders. Spatial dispersion of the first four points in the spectrum of the statistical parameter of non-Markovity epsilon (i)(k, omega) at i = 1,2,3,4 has allowed us to reveal the non-Marko v nature of collective excitations in liquid cesium, connected with long-ra nge memory effect.