Isomorph invariance of dynamics of sheared glassy systems
arXiv:1908.06722 · doi:10.1103/PhysRevE.100.053005
Abstract
We study hidden scale invariance in the glassy phase of the Kob-Andersen binary Lennard-Jones system. After cooling below the glass transition, we generate a so-called isomorph from the fluctuations of potential energy and virial in the NVT ensemble -- a set of density, temperature pairs for which structure and dynamics are identical when expressed in appropriate reduced units. To access dynamical features we shear the system using the SLLOD algorithm coupled with Lees-Edwards boundary conditions, and study the statistics of stress fluctuations and the particle displacements transverse to the shearing direction. We find good collapse of the statistical data showing that isomorph theory works well in this regime. The analysis of stress fluctuations, in particular the distribution of stress changes over a given strain interval, allows us to identify a clear signature of avalanche behavior in the form of an exponential tail on the negative side. This feature is also isomorph invariant. The implications of isomorphs for theories of plasticity are discussed briefly.
arXiv commentSubmitted to Phys. Rev. E
References in corpus (42)
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture I: The van Hove Correlation Function
- Scaling behavior in the -relaxation regime of a supercooled Lennard-Jones mixture
- Amorphous Systems in Athermal, Quasistatic Shear
- Testing Mode-Coupling Theory for a Supercooled Binary Lennard-Jones Mixture II: Intermediate Scattering Function and Dynamic Susceptibility
- Pressure-energy correlations in liquids. IV. "Isomorphs" in liquid state diagrams
- "Isomorphs" in liquid state diagrams
- Subextensive Scaling in the Athermal, Quasistatic Limit of Amorphous Matter in Plastic Shear Flow
- Nonequilibrium dynamics and fluctuation-dissipation relation in a sheared fluid
- Pressure-energy correlations in liquids. I. Results from computer simulations
- Shifted forces in molecular dynamics
- Shear yielding of amorphous glassy solids: Effect of temperature and strain rate
- Pressure-energy correlations in liquids. II. Analysis and consequences
- Strong pressure-energy correlations in van der Waals liquids
- Avalanche Size Scaling in Sheared Three-Dimensional Amorphous Solid
- Pressure-energy correlations in liquids. III. Statistical mechanics and thermodynamics of liquids with hidden scale invariance
- Strong pressure-energy correlations in liquids as a configuration space property: Simulations of temperature down jumps and crystallization
- Locality and Non-locality in Elasto-plastic Responses of Amorphous Solids
- Beyond power-law density scaling: Theory, Simulation, and Experiment
- Pressure-energy correlations in liquids. V. Isomorphs in generalized Lennard-Jones systems
- What constitutes a simple liquid?
- Fluctuations, response and aging dynamics in a simple glass-forming liquid out of equilibrium
- Simplicity of condensed matter at its core: Generic definition of a Roskilde-simple system
- RUMD: A general purpose molecular dynamics package optimized to utilize GPU hardware down to a few thousand particles
- Plastic response of a 2D amorphous solid to quasi-static shear : I - Transverse particle diffusion and phenomenology of dissipative events
- Thermodynamics of condensed matter with strong pressure-energy correlations
- Statistical Physics of Elasto-Plastic Steady States in Amorphous Solids: Finite Temperatures and Strain Rates
- Crystallization of the Kob-Andersen binary Lennard-Jones liquid
- Stability of supercooled binary liquid mixtures
- Isomorphs in model molecular liquids
- Universal, additive effect of temperature on the rheology of amorphous solids
- Size of Plastic Events in Strained Amorphous Solids at Finite Temperatures
- Scaling of the dynamics of flexible Lennard-Jones chains
- Predicting The Effective Temperaure of a Glass
- Hidden scale invariance of metals
- Estimating the density-scaling exponent of a monatomic liquid from its pair potential
- Glass-forming liquids: One or more "order" parameters?
- Isomorph invariance of Couette shear flows simulated by the SLLOD equations of motion
- Crystallisation Instability in Glassforming Mixtures
- Robustness of avalanche dynamics in sheared amorphous solids as probed by transverse diffusion
- Scaling Theory for Steady State Plastic Flows in Amorphous Solids
- Isomorph theory of physical aging
- Density scaling and quasiuniversality of flow-event statistics for athermal plastic flows