5,365 research outputs found
Length and time scale divergences at the magnetization-reversal transition in the Ising model
The divergences of both the length and time scales, at the magnetization-
reversal transition in Ising model under a pulsed field, have been studied in
the linearized limit of the mean field theory. Both length and time scales are
shown to diverge at the transition point and it has been checked that the
nature of the time scale divergence agrees well with the result obtained from
the numerical solution of the mean field equation of motion. Similar growths in
length and time scales are also observed, as one approaches the transition
point, using Monte Carlo simulations. However, these are not of the same nature
as the mean field case. Nucleation theory provides a qualitative argument which
explains the nature of the time scale growth. To study the nature of growth of
the characteristic length scale, we have looked at the cluster size
distribution of the reversed spin domains and defined a pseudo-correlation
length which has been observed to grow at the phase boundary of the transition.Comment: 9 pages Latex, 3 postscript figure
Nucleation theory and the phase diagram of the magnetization-reversal transition
The phase diagram of the dynamic magnetization-reversal transition in pure
Ising systems under a pulsed field competing with the existing order can be
explained satisfactorily using the classical nucleation theory. Indications of
single-domain and multi-domain nucleation and of the corresponding changes in
the nucleation rates are clearly observed. The nature of the second time scale
of relaxation, apart from the field driven nucleation time, and the origin of
its unusual large values at the phase boundary are explained from the
disappearing tendency of kinks on the domain wall surfaces after the withdrawal
of the pulse. The possibility of scaling behaviour in the multi-domain regime
is identified and compared with the earlier observations.Comment: 10 pages Latex, 4 Postscript figure
Hot Nuclear Matter : A Variational Approach
We develop a nonperturbative technique in field theory to study properties of
infinite nuclear matter at zero temperature as well as at finite temperatures.
Here we dress the nuclear matter with off-mass shell pions. The techniques of
thermofield dynamics are used for finite temperature calculations. Equation of
state is derived from the dynamics of the interacting system in a self
consistent manner. The transition temperature for nuclear matter appears to be
around 15 MeV.Comment: 16 pages, IP/BBSR/91-3
Neutron matter - Quark matter phase transition and Quark star
We consider the neutron matter quark matter phase transition along with
possible existence of hybrid quark stars. The equation of state for neutron
matter is obtained using a nonperturbative method with pion dressing of the
neutron matter and an analysis similar to that of symmetric nuclear matter. The
quark matter sector is treated perturbatively in the small distance domain. For
bag constant =148 MeV, a first order phase transition is seen. In the
context of neutron quark hybrid stars, Tolman-Oppenheimer-Volkoff equations are
solved using the equations of state for quark matter and for neutron matter
with a phase transition as noted earlier. Stable solutions for such stars are
obtained with the Chandrasekhar limit as 1.58 and radius around 10
km. The bulk of the star is quark matter with a thin crust of neutron matter of
less than a kilometer.Comment: 28 pages including 9 figures, Revtex, IP/BBSR/92-8
Mean field and Monte Carlo studies of the magnetization-reversal transition in the Ising model
Detailed mean field and Monte Carlo studies of the dynamic
magnetization-reversal transition in the Ising model in its ordered phase under
a competing external magnetic field of finite duration have been presented
here. Approximate analytical treatment of the mean field equations of motion
shows the existence of diverging length and time scales across this dynamic
transition phase boundary. These are also supported by numerical solutions of
the complete mean field equations of motion and the Monte Carlo study of the
system evolving under Glauber dynamics in both two and three dimensions.
Classical nucleation theory predicts different mechanisms of domain growth in
two regimes marked by the strength of the external field, and the nature of the
Monte Carlo phase boundary can be comprehended satisfactorily using the theory.
The order of the transition changes from a continuous to a discontinuous one as
one crosses over from coalescence regime (stronger field) to nucleation regime
(weaker field). Finite size scaling theory can be applied in the coalescence
regime, where the best fit estimates of the critical exponents are obtained for
two and three dimensions.Comment: 16 pages latex, 13 ps figures, typos corrected, references adde
Degree of approximation of Conjugate Series of a Fourier Series by (E,r)(N,p,q) Means
In this paper a theorem on degree of approximation of a function f Lip ? by product Summability(E,r)(N,p,q)of conjugate series of Fourier series associated with f, has been established
Residual life estimation of high temperature tubings based on oxide scale thickness measurement
Super heater and Reheater tubes offossil boilers,
wherein creep is the major damage mechanism, are required to be assessed periodically (after one lakh hours) for remaining life. For remaining life estimation of these tubes, knowledge of the operating tube metal temperature forms a very valuable input. Unfortunately , this information is hard to get, since measurement of tube temperature directly or indirectly through the measurement of steam temperature, are carried out only infrequently due to various technical and economic considerations. It is more convenient to estimate the operating tube metal temperature in service by examination of tube samples for thickness ofsteam side oxide scale, hardness and deterioration of microstructure. Since the changes in these
parameters are fitnctions of time and temperature their currentvalues may be used to estimate average tube thermal history, for a given operating time. This paper deals with relatively accurate estimations of tube metal temperature using three approaches viz.(i) Microsstructural evoluation (ii) Steam side oxide scale thickness built tip and (iii) Hardness degradation. One time estimate of temperature and stress values have been extrapolated back to the initial conditions using linear growth of steam side scale
thickness andf re side wastage of the tube. Total service life has been discretized at a smaller interval to increase the accuracy of estimation. Typical results on remaining life calculation based on above ntodification have been described
INTRINSIC MECHANISM FOR ENTROPY CHANGE IN CLASSICAL AND QUANTUM EVOLUTION
It is shown that the existence of a time operator in the Liouville space
representation of both classical and quantum evolution provides a mechanism for
effective entropy change of physical states. In particular, an initially
effectively pure state can evolve under the usual unitary evolution to an
effectively mixed state.Comment: 20 pages. For more information or comments contact E. Eisenberg at
[email protected] (internet)
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