1,433 research outputs found
The influence of the preparation method of NiOx photocathodes on the efficiency of p-type dye-sensitised solar cells
Improving the efficiency of p-type dye-sensitized solar cells (DSCs) is an important part of the development of high performance tandem DSCs. The optimization of the conversion efficiency of p-DSCs could make a considerable contribution in the improvement of solar cells at a molecular level. Nickel oxide is the most widely used material in p-DSCs, due to its ease of preparation, chemical and structural stability, and electrical properties. However, improvement of the quality and conductivity of NiO based photocathodes needs to be achieved to bring further improvements to the solar cell efficiency. The subject of this review is to consider the effect of the preparation of NiO surfaces on their efficiency as photocathodes. (C) 2015 Elsevier B.V. All rights reserved
Quantized Scaling of Growing Surfaces
The Kardar-Parisi-Zhang universality class of stochastic surface growth is
studied by exact field-theoretic methods. From previous numerical results, a
few qualitative assumptions are inferred. In particular, height correlations
should satisfy an operator product expansion and, unlike the correlations in a
turbulent fluid, exhibit no multiscaling. These properties impose a
quantization condition on the roughness exponent and the dynamic
exponent . Hence the exact values for two-dimensional
and for three-dimensional surfaces are derived.Comment: 4 pages, revtex, no figure
An Exactly Solved Model of Three Dimensional Surface Growth in the Anisotropic KPZ Regime
We generalize the surface growth model of Gates and Westcott to arbitrary
inclination. The exact steady growth velocity is of saddle type with principal
curvatures of opposite sign. According to Wolf this implies logarithmic height
correlations, which we prove by mapping the steady state of the surface to
world lines of free fermions with chiral boundary conditions.Comment: 9 pages, REVTEX, epsf, 3 postscript figures, submitted to J. Stat.
Phys, a wrong character is corrected in eqs. (31) and (32
Teaching reading through imaginative play situations in grades one and two
Thesis (Ed.M.)--Boston Universit
Interface roughening with nonlinear surface tension
Using stability arguments, this Brief Report suggests that a term that
enhances the surface tension in the presence of large height fluctuations
should be included in the Kardar-Parisi-Zhang equation. A one-loop
renormalization group analysis then shows for interface dimensions larger than
an unstable strong-coupling fixed point that enters the system
from infinity. The relevance of these results to the roughening transition is
discussed.Comment: 4 pages RevTeX, 1 figur
Upper critical dimension, dynamic exponent and scaling functions in the mode-coupling theory for the Kardar-Parisi-Zhang equation
We study the mode-coupling approximation for the KPZ equation in the strong
coupling regime. By constructing an ansatz consistent with the asymptotic forms
of the correlation and response functions we determine the upper critical
dimension d_c=4, and the expansion z=2-(d-4)/4+O((4-d)^2) around d_c. We find
the exact z=3/2 value in d=1, and estimate the values 1.62, 1.78 for z, in
d=2,3. The result d_c=4 and the expansion around d_c are very robust and can be
derived just from a mild assumption on the relative scale on which the response
and correlation functions vary as z approaches 2.Comment: RevTex, 4 page
Probability distribution of the free energy of a directed polymer in a random medium
We calculate exactly the first cumulants of the free energy of a directed
polymer in a random medium for the geometry of a cylinder. By using the fact
that the n-th moment of the partition function is given by the ground
state energy of a quantum problem of n interacting particles on a ring of
length L, we write an integral equation allowing to expand these moments in
powers of the strength of the disorder gamma or in powers of n. For n small and
n of order (L gamma)^(-1/2), the moments take a scaling form which allows
to describe all the fluctuations of order 1/L of the free energy per unit
length of the directed polymer. The distribution of these fluctuations is the
same as the one found recently in the asymmetric exclusion process, indicating
that it is characteristic of all the systems described by the
Kardar-Parisi-Zhang equation in 1+1 dimensions.Comment: 18 pages, no figure, tu appear in PRE 61 (2000
Directed polymers and interfaces in random media : free-energy optimization via confinement in a wandering tube
We analyze, via Imry-Ma scaling arguments, the strong disorder phases that
exist in low dimensions at all temperatures for directed polymers and
interfaces in random media. For the uncorrelated Gaussian disorder, we obtain
that the optimal strategy for the polymer in dimension with
involves at the same time (i) a confinement in a favorable tube of radius with (ii) a superdiffusive behavior with for the wandering of the best favorable
tube available. The corresponding free-energy then scales as with and the left tail of the probability
distribution involves a stretched exponential of exponent .
These results generalize the well known exact exponents ,
and in , where the subleading transverse length is known as the typical distance between two replicas in the Bethe
Ansatz wave function. We then extend our approach to correlated disorder in
transverse directions with exponent and/or to manifolds in dimension
with . The strategy of being both confined and
superdiffusive is still optimal for decaying correlations (), whereas
it is not for growing correlations (). In particular, for an
interface of dimension in a space of total dimension with
random-bond disorder, our approach yields the confinement exponent . Finally, we study the exponents in the presence of an
algebraic tail in the disorder distribution, and obtain various
regimes in the plane.Comment: 19 page
A numerical study of the development of bulk scale-free structures upon growth of self-affine aggregates
During the last decade, self-affine geometrical properties of many growing
aggregates, originated in a wide variety of processes, have been well
characterized. However, little progress has been achieved in the search of a
unified description of the underlying dynamics. Extensive numerical evidence
has been given showing that the bulk of aggregates formed upon ballistic
aggregation and random deposition with surface relaxation processes can be
broken down into a set of infinite scale invariant structures called "trees".
These two types of aggregates have been selected because it has been
established that they belong to different universality classes: those of
Kardar-Parisi-Zhang and Edward-Wilkinson, respectively. Exponents describing
the spatial and temporal scale invariance of the trees can be related to the
classical exponents describing the self-affine nature of the growing interface.
Furthermore, those exponents allows us to distinguish either the compact or
non-compact nature of the growing trees. Therefore, the measurement of the
statistic of the process of growing trees may become a useful experimental
technique for the evaluation of the self-affine properties of some aggregates.Comment: 19 pages, 5 figures, accepted for publication in Phys.Rev.
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