Zpif's law in the liquid gas phase transition of nuclei
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,
Received: 2 June 1999 / Revised version: 8 October 1999 Communicated by B. Povh
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.
25.70.Pq Multifragment emission and correlations - 05.70.Jk Critical point phenomena - 24.10.Pa Thermal and statistical models