This is an extended version of my Nobel Lecture, delivered on December 8, 2021. I will
recall the genesis of the concept of multiple equilibria in natural sciences. I will then describe …

Despite decades of work, gaining a first-principles understanding of amorphous materials
remains an extremely challenging problem. However, recent theoretical breakthroughs have …

We provide here a brief perspective on the glass transition field. It is an assessment, written
from the point of view of theory, of where the field is and where it seems to be heading. We …

One of the most actively debated issues in the study of the glass transition is whether a
mean-field description is a reasonable starting point for understanding experimental glass …

We obtain analytic expressions for the time correlation functions of a liquid of spherical
particles, exact in the limit of high dimensions d. The derivation is long but straightforward: a …

We start with a few concise definitions of the most important concepts discussed in this entry.
Glass transition For molecular liquids, the glass transition denotes a crossover from a …

The Random First Order Transition (RFOT) theory started with the pioneering work of
Kirkpatrick, Thirumalai and Wolynes. It leverages methods and advances of the theory of …

We investigate the response of dense hard sphere glasses to a shear strain in a wide range
of pressures ranging from the glass transition to the infinite-pressure jamming point. The …

We compare glassy dynamics in two liquids that differ in the form of their interaction
potentials. Both systems have the same repulsive interactions but one has also an attractive …

We investigate the connection between local structure and dynamical heterogeneity in
supercooled liquids. Through the study of four different models, we show that the correlation …