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Roger J Loucks

Publications and source records attributed to Roger J Loucks.

2 recordsLinked to original sources

Split-step eigenvector-following technique for exploring enthalpy landscapes at absolute zero.

The mapping of enthalpy landscapes is complicated by the coupling of particle position and volume coordinates. To address this issue, we have developed a new split-step eigenvector-following technique for locating minima and transition points in an enthalpy landscape at absolute zero. Each iteration is split into two steps in order to independently vary system volume and relative atomic coordinates. A separate Lagrange multiplier is used for each eigendirection in order to provide maximum flexibility in determining step sizes. This technique will be useful for mapping the enthalpy landscapes of bulk systems such as supercooled liquids and glasses.

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A simplified eigenvector-following technique for locating transition points in an energy landscape.

We derive an eigenvector-following technique for locating transition points in an N-dimensional energy landscape. A separate Lagrange multiplier is used for each eigendirection to provide maximum flexibility in determining step sizes. In contrast to previous techniques based on a similar approach, we provide a simple algorithm for choosing specific values of these Lagrange multipliers. We demonstrate the robustness of the algorithm using two-dimensional Cerjan-Miller and Adams landscapes. The technique has also been applied to the S(12) molecular cluster.

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