Area, perimeter, density and entropy of objects generated by deposition of particles

• Autor(a) principal: Caruso, Horacio A.
• Data de Publicação: 2010
• Outros Autores: Nínez, Josué
• Tipo de documento: Artigo
• Idioma: por
• Título da fonte: Revista Ciências Exatas e Naturais (Online)
• Texto Completo: https://revistas.unicentro.br/index.php/RECEN/article/view/527
• topic: Ciências Astronômicas; Geofísica; random walks, aggregation, ballistic aggregation, fractal dimension, growth of objects

Each time a particle is added in order to study growth phenomena with a discretemodel, the mass of the object increases and its perimeter changes. This change of perimetermay have different values and signs, depending on the place where the particle is added andon the computational model used. We study these changes of perimeter, for the depositionof particles on a two dimensional euclidean space, starting with a line of seeds and usingtwo types of lattices, one composed of square cells and another one in which the cells areequilateral triangles. Functions relating perimeter, density and entropy with the area arestudied. Different types of random walks are considered in a particular fashion throughthe selection of five different possible directions. The usual procedure to study the way theperimeter of an object varies with its area is by means of the well known power-law function.An alternative method is herein proposed to define a similar approach, but it is based uponthe probabilities of the changes of perimeter. No attempt has been made in this study tocompare numerical results with those of real phenomena.