10,602 research outputs found
GUEST EDITORIAL
As a guest editor, it seems most proper to give attention and thoughts to the National Association for Interdisciplinary Ethnic Studies (NAIES), which by its very nature is a unique and singular organization. We have little in common with the larger professional academic entities. We are small In membership, but have the capacity to operate on the national level
Trajectories in Logarithmic Potentials
Trajectories in logarithmic potentials are investigated by taking as example
the motion of an electron within a cylindrical capacitor. The solution of the
equation of motion in plane polar coordinates, (r,{\phi}) is attained by
forming a series expansion of r and of 1/r as a function of {\phi}. The terms
of the series contain polynomials, the recurrence relation of which is given,
together with some further characteristics. By the comparison-theorem of
infinite series, the convergence of the solution is demonstraded. The simplest
trajectories in logarithmic potentials are represented by rosette type orbits
with a period of 4{\pi}/3, and by circular paths.Comment: 17 pages, 5 figure
Long-range and many-body effects in coagulation processes
We study the problem of diffusing particles which coalesce upon contact. With the aid of a nonperturbative renormalization group, we first analyze the dynamics emerging below the critical dimension two, where strong fluctuations imply anomalously slow decay. Above two dimensions, the long-time, low-density behavior is known to conform with the law of mass action. For this case, we establish an exact mapping between the physics at the microscopic scale (lattice structure, particle shape and size) and the macroscopic decay rate in the law of mass action. In addition, we identify a term violating this classical law. It originates in long-range and many-particle fluctuations and is a simple, universal function of the macroscopic decay rate. DOI: 10.1103/PhysRevE.87.02213
Electronic Structure of Superconducting Ba6c60
We report the results of first-principles electronic-structure calculations
for superconducting Ba6C60. Unlike the A3C60 superconductors, this new compound
shows strong Ba-C hybridization in the valence and conduction regions, mixed
covalent/ionic bonding character, partial charge transfer, and insulating
zero-gap band structure.Comment: 11 pages + 4 figures (1 appended, others on request), LaTeX with
REVTE
Understanding Collective Dynamics of Soft Active Colloids by Binary Scattering
Collective motion in actively propelled particle systems is triggered on the
very local scale by nucleation of coherently moving units consisting of just a
handful of particles. These units grow and merge over time, ending up in a
long-range ordered, coherently-moving state. So far, there exists no bottom-up
understanding of how the microscopic dynamics and interactions between the
constituents are related to the system's ordering instability. In this paper,
we study a class of models for propelled colloids allowing an explicit
treatment of the microscopic details of the collision process. Specifically,
the model equations are Newtonian equations of motion with separate force terms
for particles' driving, dissipation and interaction forces. Focusing on dilute
particle systems, we analyze the binary scattering behavior for these models,
and determine-based on the microscopic dynamics-the corresponding
collision-rule, i.e., the mapping of pre-collisional velocities and impact
parameter on post-collisional velocities. By studying binary scattering we also
find that the considered models for active colloids share the same principle
for parallel alignment: the first incoming particle (with respect to the center
of collision) is aligned to the second particle as a result of the encounter.
This behavior is distinctively different to alignment in non-driven dissipative
gases. Moreover, the obtained collision rule lends itself as a starting point
to apply kinetic theory for propelled particle systems in order to determine
the phase boundary to a long-range ordered, coherently-moving state. The
microscopic origin of the collision rule offers the opportunity to
quantitatively scrutinize the predictions of kinetic theory for propelled
particle systems through direct comparison with multi-particle simulations.Comment: 19 pages, 12 figure
Heterologous ectoine production in Escherichia coli : By-passing the metabolic bottle-neck
Peer reviewedPublisher PD
Role of particle conservation in self-propelled particle systems
Actively propelled particles undergoing dissipative collisions are
known to develop a state of spatially distributed coherently moving clusters.
For densities larger than a characteristic value, clusters grow in time and form
a stationary well-ordered state of coherent macroscopic motion. In this work
we address two questions. (i) What is the role of the particles’ aspect ratio in
the context of cluster formation, and does the particle shape affect the system’s
behavior on hydrodynamic scales? (ii) To what extent does particle conservation
influence pattern formation? To answer these questions we suggest a simple
kinetic model permitting us to depict some of the interaction properties between
freely moving particles and particles integrated in clusters. To this end, we
introduce two particle species: single and cluster particles. Specifically, we
account for coalescence of clusters from single particles, assembly of single
particles on existing clusters, collisions between clusters and cluster disassembly.
Coarse graining our kinetic model, (i) we demonstrate that particle shape (i.e.
aspect ratio) shifts the scale of the transition density, but does not impact the
instabilities at the ordering threshold and (ii) we show that the validity of particle
conservation determines the existence of a longitudinal instability, which tends to amplify density heterogeneities locally, and in turn triggers a wave pattern
with wave vectors parallel to the axis of macroscopic order. If the system is in
contact with a particle reservoir, this instability vanishes due to a compensation
of density heterogeneities
A Critical Assessment of the Boltzmann Approach for Active Systems
Generic models of propelled particle systems posit that the emergence of
polar order is driven by the competition between local alignment and noise.
Although this notion has been confirmed employing the Boltzmann equation, the
range of applicability of this equation remains elusive. We introduce a broad
class of mesoscopic collision rules and analyze the prerequisites for the
emergence of polar order in the framework of kinetic theory. Our findings
suggest that a Boltzmann approach is appropriate for weakly aligning systems
but is incompatible with experiments on cluster forming systems.Comment: 11 pages, 3 figure
Tension dynamics and viscoelasticity of extensible wormlike chains
The dynamic response of prestressed semiflexible biopolymers is characterized
by the propagation and relaxation of tension, which arises due to the near
inextensibility of a stiff backbone. It is coupled to the dynamics of contour
length stored in thermal undulations, but also to the local relaxation of
elongational strain. We present a systematic theory of tension dynamics for
stiff yet extensible wormlike chains. Our results show that even moderate
prestress gives rise to distinct Rouse-like extensibility signatures in the
high-frequency viscoelastic response.Comment: 4 pages, 1 figure; corrected typo
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