Oscar Sotolongo-Costa^1,2, Arezky H. Rodriguez¹ and G.J. Rodgers²

¹ Department of Theoretical Physics, Havana University, Habana 10400, Cuba.
E-mail: (Oscar) [email protected], (Arezky) [email protected]
² Department of Mathematical Sciences, Brunel University, Uxbridge, Middlesex UB8 3PH, UK.
E-mail: (Rodgers) [email protected]

Received: 10 May 2000 / Accepted: 10 October 2000 / Published: 25 December 2000

Abstract: By using the maximum entropy principle with Tsallis entropy we obtain a fragment size distribution function which undergoes a transition to scaling. This distribution function reduces to those obtained by other authors using Shannon entropy. The treatment is easily generalisable to any process of fractioning with suitable constraints.

PACS codes: 05.40.Fb, 24.60.-k