Fluid-like behavior of a one-dimensional granular gas

Abstract

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. $<|x(t)-x(0){|}^2>\sim D{t}^{1/2}$ 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.

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

References in corpus (6)

• Breakdown of Energy Equipartition in a 2D Binary Vibrated Granular Gas
• Single-File Diffusion of Atomic and Colloidal Systems: Asymptotic Laws
• Collision statistics of driven granular materials
• Molecular dynamics simulations of vibrated granular gases
• Velocity distribution of fluidized granular gases in presence of gravity
• Noise activated granular dynamics

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• An exactly solvable model for driven dissipative systems
• Noise Rectification and Fluctuations of an Asymmetric Inelastic Piston
• Theory of thermostatted inhomogeneous granular fluids: a self-consistent density functional description
• Energy fluctuations in vibrated and driven granular gases
• Inelastic hard-rods in a periodic potential
• Beyond the Dynamic Density Functional theory for steady currents. Application to driven colloidal particles in a channel
• Velocity fluctuations in a one dimensional Inelastic Maxwell model
• Models of fluidized granular materials: examples of non-equilibrium stationary states
• Kinetic temperature and pressure of an active Tonks gas
• Models of granular ratchets
• The inelastic Takahashi hard-rod gas
• Transport of a heated granular gas in a washboard potential
• Computational Studies of Multiple-Particle Nonlinear Dynamics in a Spatio-Temporally periodic potential
• Thermally induced directed currents in hard rod systems