Related Experiment Video
Updated: Jul 11, 2025

Cooling Rate Dependent Ellipsometry Measurements to Determine the Dynamics of Thin Glassy Films
Published on: January 26, 2016
Dependence of the Glass Transition and Jamming Densities on Spatial Dimension
Monoj Adhikari1, Smarajit Karmakar2, Srikanth Sastry3
1Theoretical Sciences Unit, Jawaharlal Nehru Centre for Advanced Scientific Research, Jakkur Campus, 560064 Bengaluru, India.
Abstract:
We investigate the dynamics of soft sphere liquids through computer simulations for spatial dimensions from d=3 to 8, over a wide range of temperatures and densities. Employing a scaling of density-temperature-dependent relaxation times, we precisely identify the density ϕ_{0}, which marks the ideal glass transition in the hard sphere limit, and a crossover from sub- to super-Arrhenius temperature dependence. The difference between ϕ_{0} and the athermal jamming density ϕ_{J}, small in 3 and 4 dimensions, increases with dimension, with ϕ_{0}>ϕ_{J} for d>4. We compare our results with recent theoretical calculations.
Related Concept Videos
Density
Dimensionless Groups in Fluid Mechanics
Viscosity
The SI unit of viscosity is...
Relation between Poisson's ratio, Modulus of Elasticity and Modulus of Rigidity
Density and Archimedes' Principle
Density, Specific Weight, Specific Gravity and Compressibility of Fluid
Specific weight represents the weight per unit volume and is calculated by multiplying...

