90 citations · 1.1k across the 68 of their papers we have counts for
11 papers · 1 filter
Statistics of Stationary Points of Random Finite Polynomial Potentials
Dhagash Mehta, Matthew Niemerg, Chuang Sun
The stationary points (SPs) of the potential energy landscapes (PELs) of multivariate random potentials (RPs) have found many applications in many areas of Physics, Chemistry and M…
Potential Energy Landscape of the Two-Dimensional XY Model: Higher-Index Stationary Points
Dhagash Mehta, Ciaran Hughes, Michael Kastner +1
The application of numerical techniques to the study of energy landscapes of large systems relies on sufficient sampling of the stationary points. Since the number of stationary po…
Energy Landscape of the Finite-Size Mean-field 2-Spin Spherical Model and Topology Trivialization
Dhagash Mehta, Jonathan D. Hauenstein, Matthew Niemerg +2
Motivated by the recently observed phenomenon of topology trivialization of potential energy landscapes (PELs) for several statistical mechanics models, we perform a numerical stud…
An Inversion-Relaxation Approach for Sampling Stationary Points of Spin Model Hamiltonians
Ciaran Hughes, Dhagash Mehta, David J Wales
Sampling the stationary points of a complicated potential energy landscape is a challenging problem. Here we introduce a sampling method based on relaxation from stationary points…
Potential Energy Landscapes for the 2D XY Model: Minima, Transition States and Pathways
Dhagash Mehta, Ciaran Hughes, Mario Schröck +1
We describe a numerical study of the potential energy landscape for the two-dimensional XY model (with no disorder), considering up to 100 spins and CPU and GPU implementations of…
Energy Landscape of the Finite-Size Mean-field 3-Spin Spherical Model
Dhagash Mehta, Daniel A. Stariolo, Michael Kastner
We study the 3-spin spherical model with mean-field interactions and Gaussian random couplings. For moderate system sizes of up to 20 spins, we obtain all stationary points of the…