Geometry-controlled phase transition in vibrated granular media
arXiv:2209.01271 · doi:10.1038/s41598-022-18965-4
Abstract
We report experiments on the dynamics of vibrated particles constrained in a two-dimensional vertical container, motivated by the following question: how to get the most out of a given external vibration to maximize internal disorder (e.g. to blend particles) and agitation (e.g. to absorb vibrations)? Granular media are analogs to classical thermodynamic systems, where the injection of energy can be achieved by shaking them: fluidization arises by tuning either the amplitude or the frequency of the oscillations. Alternatively, we explore what happens when another feature, the container geometry, is modified while keeping constant the energy injection. Our method consists in modifying the container base into a V-shape to break the symmetries of the inner particulate arrangement. The lattice contains a compact hexagonal solid-like crystalline phase coexisting with a loose amorphous fluid-like phase, at any thermal agitation. We show that both the solid-to-fluid volume fraction and the granular temperature depend not only on the external vibration but also on the number of topological defects triggered by the asymmetry of the container. The former relies on the statistics of the energy fluctuations and the latter is consistent with a two-dimensional melting transition described by the KTHNY theory.
arXiv comment13 pages, 5 figures
References in corpus (38)
- Theoretical perspective on the glass transition and amorphous materials
- Patterns and Collective Behavior in Granular Media: Theoretical Concepts
- Two-step melting in two dimensions: First-order liquid-hexatic transition
- Hexagons, Kinks and Disorder in Oscillated Granular Layers
- Clustering, Order, and Collapse in a Driven Granular Monolayer
- Analysis of Granular Flow in a Pebble-Bed Nuclear Reactor
- 2D Melting: From Liquid-Hexatic Coexistence to Continuous Transitions
- Discrete Breathers in One-Dimensional Diatomic Granular Crystals
- Particle dynamics in sheared granular matter
- Velocity statistics in excited granular media
- Velocity Distributions & Density Fluctuations in a 2D Granular Gas
- Crystallization of a quasi-two-dimensional granular fluid
- Dissipative properties of vibrated granular materials
- Two-dimensional melting far from equilibrium in a granular monolayer
- Thermodynamic phases in two-dimensional active matter
- Energy Dissipation in Driven Granular Matter in the Absence of Gravity
- Two-stage melting induced by dislocations and grain boundaries in Monolayers of Hard Spheres
- Localized Breathing Modes in Granular Crystals with Defects
- Non-equilibrium two-phase coexistence in a confined granular layer
- Wave localization in strongly nonlinear Hertzian chains with mass defect
- Molecular dynamics simulations of vibrated granular gases
- Crystallization of self-propelled hard-discs : a new scenario
- The dynamics of thin vibrated granular layers
- Universal response of optimal granular damping devices
- Structural and Topological Nature of Plasticity in Sheared Granular Materials
- Fluctuations and Criticality of a Granular Solid-Liquid-like Phase Transition
- Nonlinear Waves in Disordered Diatomic Granular Chains
- Nucleation in sheared granular matter
- X-ray tomography investigation of cyclically sheared granular materials
- Time resolved particle dynamics in granular convection
- Capillary-like Fluctuations of a Solid-Liquid Interface in a Non-Cohesive Granular System
- Roles of energy dissipation in a liquid-solid transition of out-of-equilibrium systems
- Liquid-Solid Transition of Hard Spheres Under Gravity
- Characterization of a Freezing/Melting Transition in a Vibrated and Sheared Granular Medium
- Topographic control of order in quasi-2D granular phase transitions
- Contact network changes in ordered and disordered disk packings
- Role of defects in the onset of wall-induced granular convection
- Clustering and melting in a wet granular monolayer