GEOMETRIC METHOD FOR LARGE MORSE CLUSTERS FORMATION
نویسندگان
چکیده
منابع مشابه
New bounds for Morse clusters
This paper presents improved lower bounds for the total energy and the minimal inter-particle distance in minimal energy atom cluster problems with interactions given by a Morse potential. The methods use simple arguments and can be employed directly for Morse clusters, where the atom separation problem is difficult due to the finite energy at zero atom separation. The theoretical results are a...
متن کاملMorse Decomposition of Geometric Meshes with Applications
Large datasets describing geometric shapes are nowadays available in a variety of applications, including Geographical Information System. Handling such shapes require extensive computing resources. One of the most computer-intensive task is the analysis of their morphological structure. Morse Theory is a powerful theory, that is used to address the problem of describing topology, i.e., the sha...
متن کاملMinimal interatomic distance in Morse clusters
In this paper we derive a lower bound, independent from the number of atoms N , for the minimal interatomic distances between atoms in a cluster whose total energy is modelled by means of the so called Morse potential. A similar result was previously proven for Lennard-Jones clusters but the proof can not be extended to Morse clusters. Besides the theoretical interest, the derivation of this lo...
متن کاملStructural relaxation in Morse clusters: Energy landscapes
We perform a comprehensive survey of the potential energy landscapes of 13-atom Morse clusters, and describe how they can be characterized and visualized. Our aim is to detail how the global features of the funnel-like surface change with the range of the potential, and to relate these changes to the dynamics of structural relaxation. We find that the landscape becomes rougher and less steep as...
متن کاملImproved bounds for interatomic distance in Morse clusters
We improve the best known lower bounds on the distance between two points of a Morse cluster in R, with ρ ∈ [4.967, 15]. Our method is a generalization of the one applied to the Lennard-Jones potential in [2], and it also leads to improvements of lower bounds for the energy of a Morse cluster. Some of the numerical results have been announced in [1].
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Computer Optics
سال: 2017
ISSN: 2412-6179,0134-2452
DOI: 10.18287/2412-6179-2017-41-1-118-125