Universalidade, fractalidade, processos difusivos e maratonas: física além da física
The aim of this work is the analysis of the distribution of time intervals t measured among participants who cross the finish line consecutively in marathons and half marathons. More specifically, if ti is the finish time of the i-th finisher, the time interval between him or her and the next on...
Na minha lista:
| Autor principal: | |
|---|---|
| Outros Autores: | |
| Formato: | Dissertação |
| Idioma: | por |
| Publicado em: |
Brasil
|
| Assuntos: | |
| Endereço do item: | https://repositorio.ufrn.br/jspui/handle/123456789/26289 |
| Tags: |
Adicionar Tag
Sem tags, seja o primeiro a adicionar uma tag!
|
| Resumo: | The aim of this work is the analysis of the distribution of time intervals t
measured
among participants who cross the finish line consecutively in marathons and half marathons.
More specifically, if ti is the finish time of the i-th finisher, the time interval
between him or her and the next one will be t
= ti+1
ti, i = 1, ..., N
1. N is the
finishers total number. After analysing di↵erent set of data, we verified that the distribuition
is of power law type N(t)
/ t
(1+↵)
, with ↵ ⇡ 1.2. Our study used data set from
marathons and half marathons across several countries and years. Besides the power law
encountered, two other results that we consider relevant are the fact that the distributions
show the same universality class, that is, the same exponent, and that it is invariant in
space and time, meaning that it is independent of the place and year of the event. We
believe that the same procedure can be applied to di↵erent competitions. |
|---|