133 research outputs found
Exact methods for Campi plots
We introduce for canonical fragmention models an exact method for computing
expectation values which exclude the largest cluster. This method allows for
the computation of the reduced multiplicity and other quantities of interest
introduced by Campi, and a comparison shows that the percolation model and a
recent canonical model differ mostly only in small respects in these ensemble
averages.Comment: 7 pages, revtex 3.0, 2 figs. available on reques
Geometry, Scaling and Universality in the Mass Distributions in Heavy Ion Collisions
Various features of the mass yields in heavy ion collisions are studied. The
mass yields are discussed in terms of iterative one dimensional discrete maps.
These maps are shown to produce orbits for a monomer or for a nucleus which
generate the mass yields and the distribution of cluster sizes. Simple
Malthusian dynamics and non-linear Verhulst dynamics are used to illustrate the
approach. Nuclear cobwebbing, attractors of the dynamics, and Lyapanov
exponents are discussed for the mass distribution. The self-similar property of
the Malthusian orbit offers a new variable for the study of scale invariance
using power moments of the mass distribution. Correlation lengths, exponents
and dimensions associated with scaling relations are developed. Fourier
transforms of the mass distribution are used to obtain power spectra which are
investigated for a behavior.Comment: 29 pages in REVTEX, 9 figures (available from the authors), RU-92-0
Nuclear Incompressibility at Finite Temperature and Entropy
Features of the nuclear isothermal incompressibility and adiabatic
incompressibility are investigated. The calculations are done at
zero and finite temperatures and non zero entropy and for several equations of
state. It is shown that decreases with increasing entropy while the
isothermal increases with increasing . A duality is found between
the adiabatic and the T=0 isothermal . Our isothermal
results are compared with a recent lattice Monte Carlo calculation done at
finite . The necessity of including correlations is shown if is to
have a peak with increasing as seen in the Monte Carlo calculations. A peak
in is linked to attractive scattering correlations in two nucleons
channel in the virial expansion in our approach which are Pauli blocked at low
.Comment: 5 page
Nuclear Incompressibility in Asymmetric Systems at Finite Temperature and Entropy
The nuclear incompressibility is investigated in asymmetric systems
in a mean field model. The calculations are done at zero and finite
temperatures and include surface, Coulomb and symmetry energy terms for several
equations of state. Also considered is the behavior of the incompressibility at
constant entropy which is shown to have a very different behavior
than the isothermal . Namely, decreases with increasing
entropy while the isothermal increases with increasing . A duality
is found between the adiabatic and the T=0 isothermal .
Analytic and also simple approximate expressions for are given.Comment: 11 page
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