1,159 research outputs found
Reunion of Vicious Walkers: Results from -Expansion -
The anomalous exponent, , for the decay of the reunion probability
of vicious walkers, each of length , in dimensions,
is shown to come from the multiplicative renormalization constant of a
directed polymer partition function. Using renormalization group(RG) we
evaluate to . The survival probability exponent is
. For , our RG is exact and stops at .
For , the log corrections are also determined. The number of walkers that
are sure to reunite is 2 and has no expansion.Comment: No of pages: 11, 1figure on request, Revtex3,IP/BBSR/929
Finite Size Correction In A Disordered System - A New Divergence
We show that the amplitude of the finite size correction term for the th
moment of the partition function, for randomly interacting directed polymers,
diverges (on the high temperature side) as , as a critical
moment is approached. The exponent is independent of temperature but
does depend on the effective dimensionality. There is no such divergence on the
low temperature side (.Comment: 8 pages, Revtex, 5 figures. For figs, send mail to [email protected]
Nonlocality in kinetic roughening
We propose a phenomenological equation to describe kinetic roughening of a
growing surface in presence of long range interactions. The roughness of the
evolving surface depends on the long range feature, and several distinct
scenarios of phase transitions are possible. Experimental implications are
discussed.Comment: Replaced with the published version (Phys. Rev. Lett 79, 2502
(1997)). Eq. 1 written in a symmetrical form, references update
Multi-shocks in asymmetric simple exclusions processes: Insights from fixed-point analysis of the boundary-layers
The boundary-induced phase transitions in an asymmetric simple exclusion
process with inter-particle repulsion and bulk non-conservation are analyzed
through the fixed points of the boundary layers. This system is known to have
phases in which particle density profiles have different kinds of shocks. We
show how this boundary-layer fixed-point method allows us to gain physical
insights on the nature of the phases and also to obtain several quantitative
results on the density profiles especially on the nature of the boundary-layers
and shocks.Comment: 12 pages, 8 figure
Scaling of fluctuation for Directed polymers with random interaction
Using a finite size scaling form for reunion probability, we show numerically
the existence of a binding-unbinding transition for Directed polymers with
random interaction. The cases studied are (A1) two chains in 1+1 dimensions,
(A2) two chains in 2+1 dimensions and (B) three chains in 1+1 dimensions. A
similar finite size scaling form for fluctuation establishes a disorder induced
transition with identical exponents for cases A2 and B. The length scale
exponents in all the three cases are in agreement with previous exact
renormalization group results.Comment: Revtex, 4 postscript figures available on request (email:
[email protected]); To appear in J. Phys. A Letter
Spacetimes with Longitudinal and Angular Magnetic Fields in Third Order Lovelock Gravity
We obtain two new classes of magnetic brane solutions in third order Lovelock
gravity. The first class of solutions yields an -dimensional spacetime
with a longitudinal magnetic field generated by a static source. We generalize
this class of solutions to the case of spinning magnetic branes with one or
more rotation parameters. These solutions have no curvature singularity and no
horizons, but have a conic geometry. For the spinning brane, when one or more
rotation parameters are nonzero, the brane has a net electric charge which is
proportional to the magnitude of the rotation parameters, while the static
brane has no net electric charge. The second class of solutions yields a
pacetime with an angular magnetic field. These solutions have no curvature
singularity, no horizon, and no conical singularity. Although the second class
of solutions may be made electrically charged by a boost transformation, the
transformed solutions do not present new spacetimes. Finally, we use the
counterterm method in third order Lovelock gravity and compute the conserved
quantities of these spacetimes.Comment: 15 pages, no figur
Phase-plane analysis of driven multi-lane exclusion models
We show how a fixed point based boundary-layer analysis technique can be used
to obtain the steady-state particle density profiles of driven exclusion
processes on two-lane systems with open boundaries. We have considered two
distinct two-lane systems. In the first, particles hop on the lanes in one
direction obeying exclusion principle and there is no exchange of particles
between the lanes. The hopping on one lane is affected by the particle
occupancies on the other, which thereby introduces an indirect interaction
among the lanes. Through a phase plane analysis of the boundary layer equation,
we show why the bulk density undergoes a sharp change as the interaction
between the lanes is increased. The second system involves one lane with driven
exclusion process and the other with biased diffusion of particles. In contrast
to the previous model, here there is a direct interaction between the lanes due
to particle exchange between them. In this model, we have looked at two
possible scenarios with constant (flat) and non-constant bulk profiles. The
fixed point based boundary layer method provides a new perspective on several
aspects including those related to maximal/minimal current phases,
possibilities of shocks under very restricted boundary conditions for the flat
profile but over a wide range of boundary conditions for the non-constant
profile.Comment: 13 pages, 17 figure
Dynamical study of the hyperextended scalar-tensor theory in the empty Bianchi type I model
The dynamics of the hyperextended scalar-tensor theory in the empty Bianchi
type I model is investigated. We describe a method giving the sign of the first
and second derivatives of the metric functions whatever the coupling function.
Hence, we can predict if a theory gives birth to expanding, contracting,
bouncing or inflationary cosmology. The dynamics of a string inspired theory
without antisymetric field strength is analysed. Some exact solutions are
found.Comment: 18 pages, 3 figure
Loop-corrected entropy of near-extremal dilatonic p-branes
It has recently been shown that for certain classical p-branes, where the dilaton is regular on the horizon, the entropy and temperature satisfy the ideal-gas relation S\sim T^{p} in the near-extremal regime. We argue that by taking string and worldsheet loop corrections into account, the validity of this entropy/temperature relation may be extended to include those cases where the dilaton classically diverges on the horizon, thereby opening up the possibility of giving a microscopic interpretation of the entropy for all near-extremal p-branes
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