Ground-state energy of a classical artificial molecule

Resumo

We study the ground-state energy of a classical artificial molecule formed by two-dimensional clusters (artificial atoms) of N/2 charged particles separated by a distance d. For the small molecules of N = 2 and 4, we obtain analytical expressions for this energy. For the larger ones, we calculate the ground-state energy using molecular dynamics simulation for N up to 128. From our numerical results, we are able to find out a function to approximate the ground-state energy of the molecules covering the range from atoms to molecules for any inter-atom distance d and for particle number from N = 8 to 128 within a difference less than one percent from the MD data.

Descrição

Palavras-chave

Molecular dynamics, Particle methods, Quantum dots, Theories of many-electron systems, Models of many-electron systems

Citação

CÂNDIDO, L.; FONSECA, T. L.; RABELO, J. N. Teixeira; G.-Q., Hai. Ground-state energy of a classical artificial molecule. The European Physical Journal. B, Les Ulis, v. 64, p. 81-86, 2008.