caa a22 4500 467891680 CHVBK 20180406152751.0 cr unu---uuuuu 170328e20060401xx s 000 0 eng 10.1007/s10955-006-9027-9 doi (NATIONALLICENCE)springer-10.1007/s10955-006-9027-9 Theorem on the Distribution of Short-Time Particle Displacements with Physical Applications [Elektronische Daten] [R. van Zon, E. Cohen] The distribution of the initial short-time displacements of particles is considered for a class of classical systems under rather general conditions on the dynamics and with Gaussian initial velocity distributions, while the positions could have an arbitrary distribution. This class of systems contains canonical equilibrium of a Hamiltonian system as a special case. We prove that for this class of systems the nth order cumulants of the initial short-time displacements behave as the 2n-th power of time for all n > 2, rather than exhibiting an nth power scaling. This has direct applications to the initial short-time behavior of the Van Hove self-correlation function, to its non-equilibrium generalizations the Green's functions for mass transport, and to the non-Gaussian parameters used in supercooled liquids and glasses. Springer Science+Business Media, Inc., 2006 Particle diffusion nationallicence non-Gaussian effects nationallicence cumulants nationallicence time expansion nationallicence Van Hove self-correlation function nationallicence Green's functions nationallicence supercooled liquids nationallicence van Zon R. The Rockefeller University, 10021, New York, New York, UAS aut Cohen E. The Rockefeller University, 10021, New York, New York, UAS aut Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/1(2006-04-01), 1-37 0022-4715 123:1<1 2006 123 10955 https://doi.org/10.1007/s10955-006-9027-9 text/html Onlinezugriff via DOI 1 research-article jats NATIONALLICENCE 856 40 https://doi.org/10.1007/s10955-006-9027-9 text/html Onlinezugriff via DOI NATIONALLICENCE 700 1- van Zon R. The Rockefeller University, 10021, New York, New York, UAS aut NATIONALLICENCE 700 1- Cohen E. The Rockefeller University, 10021, New York, New York, UAS aut NATIONALLICENCE 773 0- Journal of Statistical Physics Kluwer Academic Publishers-Plenum Publishers; http://www.springer-ny.com 123/1(2006-04-01), 1-37 0022-4715 123:1<1 2006 123 10955 Metadata rights reserved Springer special CC-BY-NC licence nationallicence BK010053 XK010053 XK010000 NATIONALLICENCE NATIONALLICENCE NL-springer