The crystallization of hard disks induced by a temperature gradient

Abstract

While uniform temperature has no effect on equilibrium properties of hard-core systems, its gradient might substantially change their behaviour. In particular, in hard-disk system subject to temperature difference $\Delta T$ disks are repelled from the hot boundary of the system and accumulate at the cold one. Using event-driven molecular dynamics simulations we show that for sufficiently large $\Delta T$ or coverage ratio ${\rho }^{\ast }$, crystal forms at the cold boundary. In this spatially inhomogeneous system a significant decrease of diffusivity of disks clearly marks the stationary interface between liquid and crystal. Such a behaviour is also supported through calculation of the radial distribution function and the bond order parameter. Simulations show that for this nonequilibrium system the equipartition of energy holds and velocity obeys the Boltzmann distribution.

7 pages, final version

References in corpus (15)

• Accurate determination of crystal structures based on averaged local bond order parameters
• Violation of the fluctuation-dissipation theorem in glassy systems: basic notions and the numerical evidence
• How to Simulate Billiards and Similar Systems
• Melting of icosahedral gold nanoclusters from molecular dynamics simulations
• Precursor-mediated crystallization process in suspensions of hard spheres
• Large-Scale Simulations of the Two-Dimensional Melting of Hard Disks
• Event-Driven Molecular Dynamics in Parallel
• Molecular dynamics simulations of vibrated granular gases
• Computer simulations of two-dimensional melting with dipole-dipole interactions
• Temperature probes in binary granular gases
• Long Time Tail of the Velocity Autocorrelation Function in a Two-Dimensional Moderately Dense Hard Disk Fluid
• One dimensional heat conductivity exponent from random collision model
• Transport properties of highly asymmetric hard sphere mixtures
• Molecular dynamics simulations of ballistic annihilation
• Heat conduction and diffusion of hard disks in a narrow channel

Cited by in corpus (1)

• Dissipation and Entropy Production in Deterministic Heat Conduction of Quasi-one-dimensional Systems