771 research outputs found
Critical Slowing Down Along the Dynamic Phase Boundary in Ising Meanfield Dynamics
We studied the dynamical phase transition in kinetic Ising ferromagnets
driven by oscillating magnetic field in meanfield approximation. The meanfield
differential equation was solved by sixth order Runge-Kutta-Felberg method. The
time averaged magnetisation plays the role of the dynamic order parameter. We
studied the relaxation behaviour of the dynamic order parameter close to the
transition temperature, which depends on the amplitude of the applied magnetic
field. We observed the critical slowing down along the dynamic phase boundary.
We proposed a power law divergence of the relaxation time and estimated the
exponent. We also found its dependence on the field amplitude and compared the
result with the exact value in limiting case.Comment: 6 pages Latex, 5 figure
Modelling and computer simulation of an insurance policy: A search for maximum profit
We have developed a model for a life insurance policy. In this model the net
gain is calculated by computer simulation for a particular type of lifetime
distribution function. We observed that the net gain becomes maximum for a
particular value of upper age of last premium. This paper is dedicated to
Professor Dietrich Stauffer on the occassion of his 60-th birthday.Comment: This paper is dedicated to Prof. D. Stauffer on the occassion of his
60th birthday. Int. J. Mod. Phys. C (2003) (in press
Dynamic Response of Ising System to a Pulsed Field
The dynamical response to a pulsed magnetic field has been studied here both
using Monte Carlo simulation and by solving numerically the meanfield dynamical
equation of motion for the Ising model. The ratio R_p of the response
magnetisation half-width to the width of the external field pulse has been
observed to diverge and pulse susceptibility \chi_p (ratio of the response
magnetisation peak height and the pulse height) gives a peak near the
order-disorder transition temperature T_c (for the unperturbed system). The
Monte Carlo results for Ising system on square lattice show that R_p diverges
at T_c, with the exponent , while \chi_p shows a peak at
, which is a function of the field pulse width . A finite size
(in time) scaling analysis shows that , with
. The meanfield results show that both the divergence of R
and the peak in \chi_p occur at the meanfield transition temperature, while the
peak height in , for small values of
. These results also compare well with an approximate analytical
solution of the meanfield equation of motion.Comment: Revtex, Eight encapsulated postscript figures, submitted to Phys.
Rev.
Nonequilibrium phase transition in the kinetic Ising model: Is transition point the maximum lossy point ?
The nonequilibrium dynamic phase transition, in the kinetic Ising model in
presence of an oscillating magnetic field, has been studied both by Monte Carlo
simulation (in two dimension) and by solving the meanfield dynamical equation
of motion for the average magnetization. The temperature variations of
hysteretic loss (loop area) and the dynamic correlation have been studied near
the transition point. The transition point has been identified as the
minimum-correlation point. The hysteretic loss becomes maximum above the
transition point. An analytical formulation has been developed to analyse the
simulation results. A general relationship among hysteresis loop area, dynamic
order parameter and dynamic correlation has also been developed.Comment: 8 pages Revtex and 4 Postscript figures; To appear in Phys. Rev.
Cofinite Graphs and their Profinite Completions
We generalize the idea of cofinite groups, due to B. Hartley. First we define
cofinite spaces in general. Then, as a special situation, we study cofinite
graphs and their uniform completions.
The idea of constructing a cofinite graph starts with defining a uniform
topological graph Gamma, in an appropriate fashion. We endow abstract graphs
with uniformities corresponding to separating filter bases of equivalence
relations with finitely many equivalence classes over Gamma. It is established
that for any cofinite graph there exists a unique cofinite completion
Fluctuation Cumulant Behavior for the Field-Pulse Induced Magnetisation-Reversal Transition in Ising Models
The universality class of the dynamic magnetisation-reversal transition,
induced by a competing field pulse, in an Ising model on a square lattice,
below its static ordering temperature, is studied here using Monte Carlo
simulations. Fourth order cumulant of the order parameter distribution is
studied for different system sizes around the phase boundary region. The
crossing point of the cumulant (for different system sizes) gives the
transition point and the value of the cumulant at the transition point
indicates the universality class of the transition. The cumulant value at the
crossing point for low temperature and pulse width range is observed to be
significantly less than that for the static transition in the same
two-dimensional Ising model. The finite size scaling behaviour in this range
also indicates a higher correlation length exponent value. For higher
temperature and pulse width range, the transition seems to fall in a mean-field
like universality class.Comment: 5 pages, 8 eps figures, thoroughly revised manuscript with new
figures, accepted in Phys. Rev. E (2003
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