Fractal Growth

Titulo Fractal Growth

SubTítulo Demonstrations of Fractal Aggregation Models

Autor(es) Mária Vicsek and Tamás Vicsek

Assunto Fractais

Editor World Scientific Publishing

Área Dinâmica não Linear

Ano 1991

Sistema DOS

Versão

Preço $19

Ano do Preço 1993

Formato 3.5

Observações

Prémios

Tipo Programa Programação

Nível de ensino Superior

Analisado Sim

Resumo "During the last decade it has widely been recognized by physicists working in diverse

areas that many of the structures common in their experiments possess a rather special

kind of geometrical complexity. This awareness is largely due to the activity of Benoit

Mandelbrot who called attention to the particular geometrical properties of such objects

as aggregates, the shore of continents, the branches of trees, the surface of clouds or the

clusters of galaxies. He coined the name fractal for these fascinating shapes to express the

fact that they are characterized by a non-integer (fractal) dimensionality. Imagine that as

an object is growing, its mass M (e.g., the number of particles it contains) increases slower

than the d-th power of its linear extension or radius R, where d is the dimension of the

space in which the object can be embedded. This is clearly different from the case of

homogeneous structures that we are used to.During the last decade it has widely been

recognized by physicists working in diverse areas that many of the structures common in

their experiments possess a rather special kind of geometrical complexity. This awareness

is largely due to the activity of Benoit Mandelbrot who called attention to the particular

geometrical properties of such objects as aggregates, the shore of continents, the

branches of trees, the surface of clouds or the clusters of galaxies.
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