Abstract
We investigate through extensive molecular dynamics simulations the
fragmentation process of two-dimensional Lennard-Jones systems. After
thermalization, the fragmentation is initiated by a sudden increment to
the radial component of the particles' velocities. We study the effect
of temperature of the thermalized system as well as the influence of the
impact energy of the ``explosion'' event on the statistics of mass
fragments. Our results indicate that the cumulative distribution of
fragments follows the scaling ansatz F(m)proportional to m(1-alpha)
exp-(m/m(0))(gamma), where m is the mass, m(0) and gamma are cutoff
parameters, and alpha is a scaling exponent that is dependent on the
temperature. More precisely, we show clear evidence that there is a
characteristic scaling exponent alpha for each macroscopic phase of the
thermalized system, i.e., that the nonuniversal behavior of the
fragmentation process is dictated by the state of the system before it
breaks down.
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