288 research outputs found
Microscopic Model of Charge Carrier Transfer in Complex Media
We present a microscopic model of a charge carrier transfer under an action
of a constant electric field in a complex medium. Generalizing previous
theoretical approaches, we model the dynamical environment hindering the
carrier motion by dynamic percolation, i.e., as a medium comprising particles
which move randomly on a simple cubic lattice, constrained by hard-core
exclusion, and may spontaneously annihilate and re-appear at some prescribed
rates. We determine analytically the density profiles of the "environment"
particles, as seen from the stationary moving charge carrier, and calculate its
terminal velocity as the function of the applied field and other system
parameters. We realize that for sufficiently small external fields the force
exerted on the carrier by the "environment" particles shows a viscous-like
behavior and define an analog of the Stokes formula for such dynamic
percolative environments. The corresponding friction coefficient is also
derived.Comment: appearing in Chem. Phys. Special Issue on Molecular Charge Transfer
in Condensed Media - from Physics and Chemistry to Biology and
Nano-Engineering, edited by A.Kornyshev (Imperial College London), M.Newton
(Brookhaven Natl Lab) and J.Ulstrup (Technical University of Denmark
Linear Response in Complex Systems: CTRW and the Fractional Fokker-Planck Equations
We consider the linear response of systems modelled by continuous-time random
walks (CTRW) and by fractional Fokker-Planck equations under the influence of
time-dependent external fields. We calculate the corresponding response
functions explicitely. The CTRW curve exhibits aging, i.e. it is not
translationally invariant in the time-domain. This is different from what
happens under fractional Fokker-Planck conditions
Electrodynamics of Media
Contains research objectives and reports on two research projects.Joint Services Electronics Programs (U. S. Army, U. S. Navy, and U. S. Air Force) under Contract DA 28-043-AMC-02536(E)National Science Foundation (Grant GK-3370
Anomalous fluctuations of active polar filaments
Using a simple model, we study the fluctuating dynamics of inextensible,
semiflexible polar filaments interacting with active and directed force
generating centres such as molecular motors. Taking into account the fact that
the activity occurs on time-scales comparable to the filament relaxation time,
we obtain some unexpected differences between both the steady-state and
dynamical behaviour of active as compared to passive filaments. For the
statics, the filaments have a {novel} length-scale dependent rigidity.
Dynamically, we find strongly enhanced anomalous diffusion.Comment: 5 pages, 3 figure
A Dynamical Mean Field Theory for the Study of Surface Diffusion Constants
We present a combined analytical and numerical approach based on the Mori
projection operator formalism and Monte Carlo simulations to study surface
diffusion within the lattice-gas model. In the present theory, the average jump
rate and the susceptibility factor appearing are evaluated through Monte Carlo
simulations, while the memory functions are approximated by the known results
for a Langmuir gas model. This leads to a dynamical mean field theory (DMF) for
collective diffusion, while approximate correlation effects beyond DMF are
included for tracer diffusion. We apply our formalism to three very different
strongly interacting systems and compare the results of the new approach with
those of usual Monte Carlo simulations. We find that the combined approach
works very well for collective diffusion, whereas for tracer diffusion the
influence of interactions on the memory effects is more prominent.Comment: 13 pages LaTeX and 6 PostScript figures, style files included. To
appear in Surface Science Letter
The Case for a Sociology of Dying, Death and Bereavement
YesDying, death and bereavement do not occur in a social vacuum. How individuals and groups experience these phenomena will be largely influenced by the social context in which they occur. To develop an adequate understanding of dying, death and bereavement we therefore need to incorporate a sociological perspective into our analysis. This paper examines why a sociological perspective is necessary and explores various ways in which sociology can be of practical value in both intellectual and professional contexts. A case study comparing psychological and sociological perspectives is offered by way of illustration
Dynamics of viscoelastic membranes
We determine both the in-plane and out-of-plane dynamics of viscoelastic
membranes separating two viscous fluids in order to understand microrheological
studies of such membranes. We demonstrate the general viscoelastic signatures
in the dynamics of shear, bending, and compression modes. We also find a
screening of the otherwise two-dimensional character of the response to point
forces due to the presence of solvent. Finally, we show that there is a linear,
hydrodynamic coupling between the in-plane compression modes of the membrane
and the out-of-plane bending modes in the case where the membrane separates two
different fluids or environments
Generalized model for dynamic percolation
We study the dynamics of a carrier, which performs a biased motion under the
influence of an external field E, in an environment which is modeled by dynamic
percolation and created by hard-core particles. The particles move randomly on
a simple cubic lattice, constrained by hard-core exclusion, and they
spontaneously annihilate and re-appear at some prescribed rates. Using
decoupling of the third-order correlation functions into the product of the
pairwise carrier-particle correlations we determine the density profiles of the
"environment" particles, as seen from the stationary moving carrier, and
calculate its terminal velocity, V_c, as the function of the applied field and
other system parameters. We find that for sufficiently small driving forces the
force exerted on the carrier by the "environment" particles shows a
viscous-like behavior. An analog Stokes formula for such dynamic percolative
environments and the corresponding friction coefficient are derived. We show
that the density profile of the environment particles is strongly
inhomogeneous: In front of the stationary moving carrier the density is higher
than the average density, , and approaches the average value as an
exponential function of the distance from the carrier. Past the carrier the
local density is lower than and the relaxation towards may
proceed differently depending on whether the particles number is or is not
explicitly conserved.Comment: Latex, 32 pages, 4 ps-figures, submitted to PR
Incorporating Sociocultural Phenomena into Ecosystem-Service Valuation: The Importance of Critical Pluralism
Ecosystem-services scholarship has largely focused on monetary valuation and the material contributions of ecosystems to human well-being. Increasingly, research is calling for a deeper understanding of how less tangible, nonmaterial values shape management and stakeholder decisions. We propose a framework that characterizes a suite of sociocultural phenomena rooted in key social science disciplines that are currently underrepresented in the ecosystem-services literature. The results from three example studies are presented to demonstrate how the tenets of this conceptual model can be applied in practice. We consider the findings from these studies in light of three priorities for future research: (1) complexities in individual and social functioning, (2) the salience and specificity of the perceived benefits of nature, and (3) distinctions among value concepts. We also pose a series of questions to stimulate reflection on how ecosystem-services research can adopt more pluralistic viewpoints that accommodate different forms of knowledge and its acquisition
Correctly validating results from single molecule data: the case of stretched exponential decay in the catalytic activity of single lipase B molecules
The question of how to validate and interpret correctly the waiting time
probability density functions (WT-PDFs) from single molecule data is addressed.
It is shown by simulation that when a stretched exponential WT-PDF, with a
stretched exponent alfa and a time scale parameter tau, generates the off
periods of a two-state trajectory, a reliable recovery of the input WT-PDF from
the trajectory is obtained even when the bin size used to define the
trajectory, dt, is much larger than the parameter tau. This holds true as long
as the first moment of the WT-PDF is much larger than dt. Our results validate
the results in an earlier study of the activity of single Lipase B molecules
and disprove recent related critique
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