1,808,930 research outputs found
Chern--Simons Terms as an Example of the Relations Between Mathematics and Physics
The inevitability of Chern--Simons terms in constructing a variety of
physical models, and the mathematical advances they in turn generate,
illustrates the unexpected but profound interactions between the two
disciplines.Comment: 8 pages. Contribution to "Relations Between Mathematics and Physics",
IHES Anniversary Volume. Title and Abstract change
Critical dynamics of an interacting magnetic nanoparticle system
Effects of dipole-dipole interactions on the magnetic relaxation have been
investigated for three Fe-C nanoparticle samples with volume concentrations of
0.06, 5 and 17 vol%. While both the 5 and 17 vol% samples exhibit collective
behavior due to dipolar interactions, only the 17 vol% sample displays critical
behavior close to its transition temperature. The behaviour of the 5 vol%
sample can be attributed to a mixture of collective and single particle
dynamics.Comment: 19 pages, 8 figure
Nonlinear Screening and Effective Electrostatic Interactions in Charge-Stabilized Colloidal Suspensions
A nonlinear response theory is developed and applied to electrostatic
interactions between spherical macroions, screened by surrounding microions, in
charge-stabilized colloidal suspensions. The theory describes leading-order
nonlinear response of the microions (counterions, salt ions) to the
electrostatic potential of the macroions and predicts microion-induced
effective many-body interactions between macroions. A linear response
approximation [Phys. Rev. E 62, 3855 (2000)] yields an effective pair potential
of screened-Coulomb (Yukawa) form, as well as a one-body volume energy, which
contributes to the free energy. Nonlinear response generates effective
many-body interactions and essential corrections to both the effective pair
potential and the volume energy. By adopting a random-phase approximation (RPA)
for the response functions, and thus neglecting microion correlations,
practical expressions are derived for the effective pair and triplet potentials
and for the volume energy. Nonlinear screening is found to weaken repulsive
pair interactions, induce attractive triplet interactions, and modify the
volume energy. Numerical results for monovalent microions are in good agreement
with available ab initio simulation data and demonstrate that nonlinear effects
grow with increasing macroion charge and concentration and with decreasing salt
concentration. In the dilute limit of zero macroion concentration,
leading-order nonlinear corrections vanish. Finally, it is shown that nonlinear
response theory, when combined with the RPA, is formally equivalent to the
mean-field Poisson-Boltzmann theory and that the linear response approximation
corresponds, within integral-equation theory, to a linearized hypernetted-chain
closure.Comment: 30 pages, 8 figures, Phys. Rev. E (in press
Infrared Sensitive Physics in QCD and in Electroweak Theory
I recall the main ideas about the treatment of QCD infrared physics, as
developed in the late seventies, and I outline some novel applications of those
ideas to Electroweak Theory.Comment: 8 pages, to be published in the volume "String Theory of Fundamental
Interactions", published on the 65-th birthday of Gabriele Veneziano, M.
Gasperini and J. Maharana editors (Springer, Berlin Heidelberg, 2007
Self-assembly and crystallisation of indented colloids at a planar wall
We report experimental and simulation studies of the structure of a monolayer
of indented ("lock and key") colloids, on a planar surface. On adding a
non-absorbing polymer with prescribed radius and volume fraction, depletion
interactions are induced between the colloids, with controlled range and
strength. For spherical particles, this leads to crystallisation, but the
indented colloids crystallise less easily than spheres, in both simulation and
experiment. Nevertheless, simulations show that indented colloids do form
plastic (rotator) crystals. We discuss the conditions under which this occurs,
and the possibilities of lower-symmetry crystal states. We also comment on the
kinetic accessibility of these states.Comment: 8 pages, 8 figure
Volume 4, Chapter 8-13: Tropics: Interactions and Roles
https://digitalcommons.mtu.edu/bryo-ecol-subchapters/1215/thumbnail.jp
- …