Short note
Zpif's law in the liquid gas phase transition of nuclei
Y.G. Ma1,2
1 CCAST (World Laboratory), P. O. Box 8730, Beijing 100080, China
2 Shanghai Institute of Nuclear Research, Chinese Academy of Sciences, P.O. Box 800-204, Shanghai
201800,
China
Received: 2 June 1999 / Revised version: 8 October 1999 Communicated by B. Povh
Abstract
Zpif's law in the field of linguistics is tested in the nuclear
disassembly within the framework of isospin dependent lattice
gas model. It is found that the average cluster charge (or mass)
of rank n in the charge (or mass) list shows exactly inversely
to its rank, i.e., there exists Zpif's law, at the phase transition
temperature. This novel criterion shall be helpful to search
the nuclear liquid gas phase transition experimentally and
theoretically. In addition, the finite size scaling of the
effective phase transition temperature at which the Zpif's law
appears is studied for several systems with different mass
and the critical exponents of 
and 
are tentatively
extracted.
PACS
25.70.Pq Multifragment emission and correlations -
05.70.Jk Critical point phenomena -
24.10.Pa Thermal and statistical models
Copyright Springer-Verlag
