Disordered Solids Without Well-Defined Transverse Phonons: The Nature of Hard Sphere Glasses
arXiv:1409.0596 · doi:10.1103/PhysRevLett.114.035502
Abstract
We probe the Ioffe-Regel limits of glasses with repulsions near the zero-temperature jamming transition by measuring the dynamical structure factors. At zero temperature, the transverse Ioffe-Regel frequency vanishes at the jamming transition with a diverging length, but the longitudinal one does not, which excludes the existence of a diverging length associated with the longitudinal excitations. At low temperatures, the transverse and longitudinal Ioffe-Regel frequencies approach zero at the jamming-like transition and glass transition, respectively. As a consequence, glasses between the glass transition and jamming-like transition, which are hard sphere glasses in the low temperature limit, can only carry well-defined longitudinal phonons and have an opposite pressure dependence of the ratio of the shear modulus to the bulk modulus from glasses beyond the jamming-like transition.
arXiv comment5 pages, 4 figures
References in corpus (24)
- Theoretical perspective on the glass transition and amorphous materials
- Jamming at Zero Temperature and Zero Applied Stress: the Epitome of Disorder
- Mean field theory of hard sphere glasses and jamming
- Effects of compression on the vibrational modes of marginally jammed solids
- Vibrations and diverging length scales near the unjamming transition
- Geometric origin of excess low-frequency vibrational modes in amorphous solids
- Unified study of glass and jamming rheology in soft particle systems
- The glass transition of dense fluids of hard and compressible spheres
- Low-frequency vibrations of soft colloidal glasses
- A Landscape Analysis of Constraint Satisfaction Problems
- Excess Vibrational Modes and the Boson Peak in Model Glasses
- Density of states of colloidal glasses
- Compressing nearly hard sphere fluids increases glass fragility
- Structural signatures of the unjamming transition at zero temperature
- Relaxations and rheology near jamming
- Energy transport in jammed sphere packings
- Dynamic criticality at the jamming transition
- Heat transport in model jammed solids
- Microscopic theory of the jamming transition of harmonic spheres
- Equivalence of glass transition and colloidal glass transition in the hard-sphere limit
- A microscopic mean-field theory of the jamming transition
- Experimental study of the jamming transition at zero temperature
- Critical scalings and jamming in thermal colloidal systems
- Stability of jammed packings II: the transverse length scale
Cited by in corpus (16)
- Phonon transport and vibrational excitations in amorphous solids
- Density affects the nature of the hexatic-liquid transition in two-dimensional melting of core-softened systems
- Sound attenuation in stable glasses
- Thermal fluctuations, mechanical response, and hyperuniformity in jammed solids
- Observation of High-frequency Transverse Phonons in Metallic Glasses
- Relation of vibrational excitations and thermal conductivity to elastic heterogeneities in disordered solids
- Role of disorder in determining the vibrational properties of mass-spring networks
- Shear induced solidification of athermal systems with weak attraction
- Connecting glass-forming ability of binary mixtures of soft particles to equilibrium melting temperatures
- Probing the role of mobility in the collective motion of non-equilibrium systems
- Realizing negative Poisson's ratio in unstressed spring networks
- Jamming of packings of frictionless particles with and without shear
- Ergodicity breaking transition in a glassy soft sphere system at small but non-zero temperatures
- Vibrational properties of two-dimensional dimer packings near the jamming transition
- The thermal jamming transition of soft harmonic disks in two dimensions
- Phonon transport properties of particulate physical gels