INVESTIGADORES
BALENZUELA Pablo
artículos
Título:
Local (in time) maximal Lyapunov exponents of fragmenting dLocal in time... maximal Lyapunov exponents of fragmenting drops Local in time... maximal Lyapunov exponents of fragmenting drops
Autor/es:
PABLO BALENZUELA; C. A. BONASERA; C. O. DORSO
Revista:
PHYSICAL REVIEW E - STATISTICAL PHYSICS, PLASMAS, FLUIDS AND RELATED INTERDISCIPLINARY TOPICS
Editorial:
APS (American Physical Society)
Referencias:
Año: 2000 vol. 62 p. 7848 - 7856
ISSN:
1063-651X
Resumen:
We analyze the dynamics of fragment formation in simulations of
exploding three-dimensional Lennard-Jones hot drops, using the maximum
local (in time) Lyapunov exponent (MLLE). The dependence of this
exponent on the excitation energy of the system displays two different
behaviors according to the stage of the dynamical evolution: one related
to the highly collisional stage of the evolution, at early times, and
the other related to the asymptotic state. We show that in the early,
highly collisional, stage of the evolution the MLLE is an increasing
function of the energy, as in an infinite-size system. On the other
hand, at long times, the MLLE displays a maximum, depending mainly on
the size of the resulting biggest fragment. We compare the time scale at
which the MLLEs reach their asymptotic values with the characteristic
time of fragment formation in phase space. Moreover, upon calculation of
the maximum Lyapunov exponent (MLE) of the resulting fragments, we show
that their dependence with the mass can be traced to bulk effects plus
surface corrections. Using this information the asymptotic behavior of
the MLLE can be understood and the fluctuations of the MLE of the whole
system can be easily calculated. These fluctuations display a sudden
increase for that excitation energy which produces a power-law-like
asymptotic distribution of fragments.