Complicated function minimal value searching method based on constrained regular pattern

A complex function and minimum value technology, which is applied in the field of fast complex function minimum value search, can solve problems such as the reduction of prediction ability, and achieve the effect of complete reaction channel, wide application range, and easy operation

Inactive Publication Date: 2013-02-20
FUDAN UNIV
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  • Abstract
  • Description
  • Claims
  • Application Information

AI Technical Summary

Problems solved by technology

[0005] The purpose of the present invention is to provide a simple and universal potential energy surface function search method, which overcomes the shortcomings of the previous method that the prediction ability of the complex system of the high-dimensional potential energy surface is greatly reduced

Method used

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  • Complicated function minimal value searching method based on constrained regular pattern
  • Complicated function minimal value searching method based on constrained regular pattern
  • Complicated function minimal value searching method based on constrained regular pattern

Examples

Experimental program
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Effect test

Embodiment 1

[0048] C 4 h 6 Conformational changes of molecules under weathering. Using the first-principle density functional theory to describe the potential energy surface, a total of 30,000 steps were optimized (the number of times to calculate energy and force). The Monte Carlo temperature is set to 1000 Kelvin, ds is set to 0.4, and the upper limit of the number of NGs is 15. As a result, 13 different chemical substances were found in 151 Monte Carlo steps.

Embodiment 2

[0050] C 4 h 6 Conformational changes of molecules under weathering. Using the first-principle density functional theory to describe the potential energy surface, a total of 30,000 steps were optimized (the number of times to calculate energy and force). The Monte Carlo temperature is set to 1000 Kelvin, ds is set to 0.1, and the upper limit of the number of NGs is 45. Results In 94 Monte Carlo steps, 4 different chemical substances were found. Among them, the reaction channels for the mutual transformation among the three most stable species are shown in Fig. 2 .

Embodiment 3

[0052] The potential energy surface is described by the Lenard-Jones potential function, and the energy minima of the system from 5 atoms to 100 atoms are studied. Its specific function form is: . The number of Monte Carlo steps is limited to 5000. The Monte Carlo temperature is set to 9000 Kelvin, ds is set to 0.6, and the upper limit of the number of NGs is 15. The result of comparing the search efficiency with the BH method is shown in Figure 3, and it can be seen from the comparison in the figure that the optimization efficiency of the present invention is obviously better than that of the BH method.

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Abstract

The invention belongs to the technical fields of computational chemistry and physics and particularly relates to a complicated function minimal value searching method based on a constrained regular pattern. In the complicated function minimal value searching method, an atomic coordinate corresponding to an energy minimal value is solved by virtue of the input atomic coordinate, a known potential energy surface energy function and a first-order derivative of the energy function corresponding to the coordinate. The method comprises the steps: starting from a coordinate system corresponding to one minimal value, carrying out optional generating and analyzing to obtain one constrained regular pattern, realizing a purpose of surpassing an energy maximal value of the potential energy surface by continuously adding bias potential functions and repeating optimizing of the energy minimal value, and finally obtaining the coordinate system corresponding to a new minimal value. The complicated function minimal value searching method based on the constrained regular pattern has the effect that the overall minimal values can be quickly searched, is suitable for complicated function systems, and meanwhile has a function of searching an optimal reaction channel. The complicated function minimal value searching method based on the constrained regular pattern can be used for traversing the potential energy surfaces of complicated molecules and periodic crystal systems.

Description

technical field [0001] The invention belongs to the technical field of computational chemistry and physics, and specifically relates to a fast search method for the minimum value of complex functions, which can be used for traversing the potential energy surfaces of complex molecules and periodic crystal systems. Background technique [0002] Structure prediction and reaction path search, as the core tasks of contemporary chemical and physical computational simulation research, play an irreplaceable role in understanding and predicting the thermodynamic and kinetic properties of materials. Although molecular dynamics simulation has been widely used as a routine tool for searching potential energy surfaces and simulating chemical reaction processes, the predictive ability of this method is very limited when dealing with high-dimensional complex potential energy surface systems or chemical processes with high activation energies. system will drop significantly. Molecular dyna...

Claims

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Application Information

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Patent Type & Authority Applications(China)
IPC IPC(8): G06F17/15
Inventor 刘智攀商城
Owner FUDAN UNIV
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