Dhagash Bharatbhai Mehta

Works (6)

Updated: July 15th, 2023 21:13

2014 journal article

An inversion-relaxation approach for sampling stationary points of spin model Hamiltonians

JOURNAL OF CHEMICAL PHYSICS, 140(19).

By: C. Hughes*, D. Mehta n & D. Wales *

TL;DR: This work introduces a sampling method based on relaxation from stationary points of the highest index of the Hessian matrix that can find all the stationary points for potentials or Hamiltonians bounded from above, and shows that it is far more efficient than previous methods. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Certification and the potential energy landscape

JOURNAL OF CHEMICAL PHYSICS, 140(22).

By: D. Mehta n, J. Hauenstein n & D. Wales *

TL;DR: This report provides details of how Smale's α-theory can be used to certify numerically obtained stationary points of a potential energy landscape, providing a mathematical proof that the numerical approximation does indeed correspond to an actual stationary point, independent of the precision employed. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2014 journal article

Enumerating copies in the first Gribov region on the lattice in up to four dimensions

PHYSICAL REVIEW D, 89(9).

By: D. Mehta n & M. Schroeck

UN Sustainable Development Goal Categories
Source: Web Of Science
Added: August 6, 2018

2014 journal article

On exact minimization of Higgs potentials

EUROPEAN PHYSICAL JOURNAL PLUS, 129(6).

By: M. Maniatis* & D. Mehta n

Source: Web Of Science
Added: August 6, 2018

2014 journal article

Potential energy landscape of the two-dimensional XY model: Higher-index stationary points

JOURNAL OF CHEMICAL PHYSICS, 140(22).

By: D. Mehta n, C. Hughes*, M. Kastner * & D. Wales

TL;DR: This work numerically compute stationary points with a given Hessian index I for all possible values of I using an eigenvector-following technique, and investigates the number of stationary points, their energy and index distributions, and other related quantities. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

2013 journal article

Potential energy landscapes for the 2D XY model: Minima, transition states, and pathways

JOURNAL OF CHEMICAL PHYSICS, 139(19).

By: D. Mehta n, C. Hughes*, M. Schroeck & D. Wales

TL;DR: A numerical study of the potential energy landscape for the two-dimensional XY model, considering up to 100 spins and central processing unit and graphics processing unit implementations of local optimization, focusing on minima and saddles of index one, shows that the number of stationary points located increases exponentially with increasing lattice size. (via Semantic Scholar)
UN Sustainable Development Goal Categories
7. Affordable and Clean Energy (OpenAlex)
Source: Web Of Science
Added: August 6, 2018

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