Violation of the Porod law in a freely cooling granular gas in one dimension.
We study a model of freely cooling inelastic granular gas in one dimension, with a restitution coefficient which approaches the elastic limit below a relative velocity scale delta. While at early times (t<<delta;{-1}) the gas behaves as a completely inelastic sticky gas conforming to predictions of earlier studies, at late times (t>>delta;{-1}) it exhibits a new fluctuation-dominated phase ordering state. We find distinct scaling behavior for the (i) density distribution function, (ii) occupied and empty gap distribution functions, (iii) the density structure function, and (iv) the velocity structure function, as compared to the completely inelastic sticky gas. The spatial structure functions (iii) and (iv) violate the Porod law. Within a mean-field approximation, the exponents describing the structure functions are related to those describing the spatial gap distribution functions.
Shinde
Mahendra
M
Department of Physics, Indian Institute of Technology Bombay, Powai, Mumbai 400076, India.
Das
Dibyendu
D
Rajesh
R
R