Connections between some kinetic and equilibrium theories of the glass transition
Connections between the static density-functional theory of the glass transition and the
dynamic mode-coupling theory of the glass transition are discussed. In three dimensions …
dynamic mode-coupling theory of the glass transition are discussed. In three dimensions …
Stable and metastable states in mean-field Potts and structural glasses
Recent static and dynamical work suggest a close analogy between spin glasses with
discontinuous Edwards-Anderson order parameter and structural glasses. The mean-field …
discontinuous Edwards-Anderson order parameter and structural glasses. The mean-field …
Spin glasses with p-spin interactions
E Gardner - Nuclear Physics B, 1985 - Elsevier
Abstract Models of Ising spin glasses with p-spin interactions are studied in mean field
theory. There are two phase transitions. At a temperature T 1, there is a transition with a …
theory. There are two phase transitions. At a temperature T 1, there is a transition with a …
Dynamics of the Structural Glass Transition and the -Spin—Interaction Spin-Glass Model
The mathematical structure of the dynamical theory for the soft-spin version of the p-spin-
interaction (p> 2) spin-glass model is related to that for the dynamical theories of the …
interaction (p> 2) spin-glass model is related to that for the dynamical theories of the …
Mean-field theory of the Potts glass
Randomly interacting p-state Potts spins may freeze into a Potts-glass phase in which the
Potts symmetry is unbroken, on the average. The mean-field theory of this phase transition is …
Potts symmetry is unbroken, on the average. The mean-field theory of this phase transition is …
[BOOK][B] Spin glasses and other frustrated systems
D Chowdhury - 2014 - books.google.com
Debashish Chowdhury's critical review of more than a thousand papers not only identifies
the complexities involved in the theoretical understanding of the real spin glasses but also …
the complexities involved in the theoretical understanding of the real spin glasses but also …
Solution of the generalised random energy model
B Derrida, E Gardner - Journal of Physics C: Solid State Physics, 1986 - iopscience.iop.org
The generalised random energy model (GREM) is a spin-glass model which can be solved
exactly. One can impose arbitrary pair correlations between the energies of configurations …
exactly. One can impose arbitrary pair correlations between the energies of configurations …
Mean-field soft-spin Potts glass model: Statics and dynamics
A soft-spin Potts glass model is introduced and solved in the mean-field limit. Near the glass-
transition temperature T c both the statics and the dynamics are considered with emphasis …
transition temperature T c both the statics and the dynamics are considered with emphasis …
Mean-field Potts glass model: Initial-condition effects on dynamics and properties of metastable states
The dynamics of an infinite-range soft-spin Potts glass model is considered. It is shown that,
in order to obtain a completely consistent description of the freezing transition, proper …
in order to obtain a completely consistent description of the freezing transition, proper …
Color symmetry breaking in the Potts spin glass
JC Mourrat - arxiv preprint arxiv:2409.10437, 2024 - arxiv.org
The Potts spin glass is an analogue of the Sherrington-Kirkpatrick model in which each spin
can take one of $\kappa $ possible values, which we interpret as colors. It was suggested in …
can take one of $\kappa $ possible values, which we interpret as colors. It was suggested in …