Time correlation functions for the one-dimensional Lorentz gas

✍ Scribed by R.M. Mazo; Henk van Beijeren

• Publisher: Elsevier Science
• Year: 1983
• Tongue: English
• Weight: 624 KB
• Volume: 119
• Category: Article
• ISSN: 0378-4371
• DOI: 10.1016/0378-4371(83)90155-3

✦ Synopsis

The velocity autocorrelatlon function and related quantities are investigated for the onedimensional deterministic Lorentz gas, consisting of randomly distributed fixed scatterers and light particles moving back and forth between two of these at a constant given speed An expansion for the velocity autocorrelation function given by Grassberger, which is useful for short hmes, is reconstructed The long time behavior is investigated by Fourier transform techniques For large time t the velocity autocorrelaUon function decays as exp(-ct 112) and m addlhon oscillates with a period increasing as t 112 A velocity average over a Maxwelhan changes this long time behawor to exp( -c't2/3), while the oscillations are removed The Green's function is also investigated Its spatml and temporal Fourier transform, the incoherent scattering function, exhibits strongly non-Lorentzlan behavior