94 citations · 240 across the 8 of their papers we have counts for
8 papers
Thermodynamics of the Ising model encoded in restricted Boltzmann machines
Jing Gu, Kai Zhang
The restricted Boltzmann machine (RBM) is a two-layer energy-based model that uses its hidden-visible connections to learn the underlying distribution of visible units, whose inter…
Equilibrium Phase Behavior of a Continuous-Space Microphase Former
Yuan Zhuang, Kai Zhang, Patrick Charbonneau
Periodic microphases universally emerge in systems for which short-range inter-particle attraction is frustrated by long-range repulsion. The morphological richness of these phases…
[N]pT ensemble and finite-size scaling study of the GEM-4 critical isostructural transition
Kai Zhang, Patrick Charbonneau
First-order transitions of system where both lattice site occupancy and lattice spacing fluctuate, such as cluster crystals, cannot be efficiently studied by traditional simulation…
[N]pT Monte Carlo Simulations of the Cluster-Crystal-Forming Penetrable Sphere Model
Kai Zhang, Patrick Charbonneau
Certain models with purely repulsive pair interactions can form cluster crystals with multiply-occupied lattice sites. Simulating these models' equilibrium properties is, however,…
A Monte Carlo Approach for Studying Microphases Applied to the Axial Next-Nearest-Neighbor Ising and the Ising-Coulomb Models
Kai Zhang, Patrick Charbonneau
The equilibrium phase behavior of microphase-forming systems is notoriously difficult to obtain because of the extended metastability of their modulated phases. In this paper we pr…
Reentrant and Isostructural Transitions in a Cluster-Crystal Former
Kai Zhang, Patrick Charbonneau, Bianca M. Mladek
We study the low-temperature behavior of a simple cluster-crystal forming system through simulation. The phase behavior is found to be hybrid between the Gaussian core and penetrab…