440 research outputs found
Igniting homogeneous nucleation
Transient homogeneous nucleation is studied in the limit of large critical
sizes. Starting from pure monomers, three eras of transient nucleation are
characterized in the classic Becker-D\"oring kinetic equations with two
different models of discrete diffusivity: the classic Turnbull-Fisher formula
and an expression describing thermally driven growth of the nucleus. The latter
diffusivity yields time lags for nucleation which are much closer to values
measured in experiments with disilicate glasses. After an initial stage in
which the number of monomers decreases, many clusters of small size are
produced and a continuous size distribution is created. During the second era,
nucleii are increasing steadily in size in such a way that their distribution
appears as a wave front advancing towards the critical size for steady
nucleation. The nucleation rate at critical size is negligible during this era.
After the wave front reaches critical size, it ignites the creation of
supercritical clusters at a rate that increases monotonically until its steady
value is reached. Analytical formulas for the transient nucleation rate and the
time lag are obtained that improve classical ones and compare very well with
direct numerical solutions.Comment: 32 pages, 6 figures, to appear in Phys. Rev.
Modulation of the nucleation rate pre-exponential in a low-temperature Ising system
A metastable lattice gas with nearest-neighbor interactions and
continuous-time dynamics is studied using a generalized Becker-Doring approach
in the multidimensional space of cluster configurations. The pre-exponential of
the metastable state lifetime (inverse of nucleation rate) is found to exhibit
distinct peaks at integer values of the inverse supersaturation. Peaks are
unobservable (infinitely narrow) in the strict limit T->0, but become
detectable and eventually dominate at higher temperatures.Comment: 4 pages, 2 Postscript figures, LaTeX, submitted to Phys. Rev. Lett.
Changes: updated references, re-written section around eqs.(5),(6), typos,
minor wording changes in conclusion and other parts of text (mostly in
response to referees' comments). Paper resubmitted to PR
Avoidance of psychological pain and suicidal ideation in community samples: Replication across two countries and two languages
Objectives: A multidimensional psychological pain model of
suicide has been developed that includes three dimensions:
affective, cognitive, and avoidance. In the present research,
we evaluated the relationships between the three dimensions of psychological pain and suicidal ideation.
Method: Two community samples from Portugal and the
U.S. participated in the research.
Results: Hierarchical multiple regression analysis demonstrated that when controlling for the effects of depressive
symptoms and psychache, the avoidance dimension, but not
the cognitive or affective dimension of psychological pain,
explained significant, and unique variance in suicidal ideation in each sample.
Conclusion: Even when individuals perceive psychological
pain, there may not be an elevated risk of suicide, provided
that they do not consider suicide as a form of coping to
decrease that pain
Analytical description of shape transition in nuclear alternating parity bands
© 2018 Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Sciences and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd. The angular momentum dependencies of parity splitting and electric dipole transitions in the alternating parity bands of heavy nuclei have been analyzed. It is shown that these dependencies can be treated in a universal manner with a single critical angular momentum parameter, which characterizes phase transition from octupole vibrations to the stable octupole deformation. Using the simple but useful model of axially-symmetric reflection-asymmetric mode, the analytical expressions for parity splitting and electric dipole transitional moment have been obtained. The findings are in good agreement with the experimental data for various isotopes of Ra, Th, U, and Pu
Scaling analysis of a divergent prefactor in the metastable lifetime of a square-lattice Ising ferromagnet at low temperatures
We examine a square-lattice nearest-neighbor Ising quantum ferromagnet
coupled to -dimensional phonon baths. Using the density-matrix equation, we
calculate the transition rates between configurations, which determines the
specific dynamic. Applying the calculated stochastic dynamic in Monte Carlo
simulations, we measure the lifetimes of the metastable state. As the magnetic
field approaches at low temperatures, the lifetime prefactor diverges
because the transition rates between certain configurations approaches zero
under these conditions. Near and zero temperature, the divergent
prefactor shows scaling behavior as a function of the field, temperature, and
the dimension of the phonon baths. With proper scaling, the simulation data at
different temperatures and for different dimensions of the baths collapse well
onto two master curves, one for and one for .Comment: published versio
Crystallization of a supercooled liquid and of a glass - Ising model approach
Using Monte Carlo simulations we study crystallization in the
three-dimensional Ising model with four-spin interaction. We monitor the
morphology of crystals which grow after placing crystallization seeds in a
supercooled liquid. Defects in such crystals constitute an intricate and very
stable network which separate various domains by tensionless domain walls. We
also show that the crystallization which occurs during the continuous heating
of the glassy phase takes place at a heating-rate dependent temperature.Comment: 7 page
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