Fluid-like behavior of a one-dimensional granular gas

Details Fluid-like behavior of a one-dimensional granular gas Fluid-like behavior of a one-dimensional granular gas

2003-10-08

arxiv.org/abs/cond-mat/0310182v1

J. Chem. Phys. 120, 35 (2004)

Physics

Condensed Matter

Statistical Mechanics

10 pages, 10 figures, accepted for publication in J. Chem. Phys

Scientific paper

10.1063/1.1630957

We study the properties of a one-dimensional (1D) granular gas consisting of $N$ hard rods on a line of length $L$ (with periodic boundary conditions). The particles collide inelastically and are fluidized by a heat bath at temperature $T_b$ and viscosity $\gamma$. The analysis is supported by molecular dynamics simulations. The average properties of the system are first discussed, focusing on the relations between granular temperature $T_g=m< v^2>$, kinetic pressure and density $\rho=N/L$. Thereafter, we consider the fluctuations around the average behavior obtaining a slightly non-Gaussian behavior of the velocity distributions and a spatially correlated velocity field; the density field displays clustering: this is reflected in the structure factor which has a peak in the $k \sim 0$ region suggesting an analogy between inelastic hard core interactions and an effective attractive potential. Finally, we study the transport properties, showing the typical sub-diffusive behavior of 1D stochastically driven systems, i.e. $<|x(t)-x(0)|^2 > \sim Dt^{1/2}$ where $D$ for the inelastic fluid is larger than the elastic case. This is directly related to the peak of the structure factor at small wave-vectors.

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