Theorem on the Distribution of Short-Time Particle Displacements with Physical Applications
van Zon, R. ; Cohen, E. G. D.
arXiv, 0505734 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2005-05-30
Classification:  Condensed Matter - Statistical Mechanics,  Condensed Matter - Soft Condensed Matter,  Mathematical Physics 
@article{0505734,
     author = {van Zon, R. and Cohen, E. G. D.},
     title = {Theorem on the Distribution of Short-Time Particle Displacements with
  Physical Applications},
     journal = {arXiv},
     volume = {2005},
     number = {0},
     year = {2005},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0505734}
}

van Zon, R.; Cohen, E. G. D. Theorem on the Distribution of Short-Time Particle Displacements with
  Physical Applications. arXiv, Tome 2005 (2005) no. 0, . http://gdmltest.u-ga.fr/item/0505734/