3,466 research outputs found
Cut moments and a generalization of DGLAP equations
We elaborate a cut (truncated) Mellin moments (CMM) approach that is
constructed to study deep inelastic scattering in lepton-hadron collisions at
the natural kinematic constraints. We show that generalized CMM obtained by
multiple integrations of the original parton distribution as well
as ones obtained by multiple differentiations of this also satisfy
the DGLAP equations with the correspondingly transformed evolution kernel
. Appropriate classes of CMM for the available experimental kinematic
range are suggested and analyzed. Similar relations can be obtained for the
structure functions , being the Mellin convolution , where
is the coefficient function of the process.Comment: 11 page
Nonlinear broadening of the plasmon linewidth in a graphene stripe
In contrast to semiconductor structures, the experimentally observed plasma
resonances in graphene show an asymmetrical and rather broad linewidth. We show
that this can be explained by the linear electron energy dispersion in this
material and is related to the violation of the generalized Kohn theorem in
graphene.Comment: 5 pages, 3 figure
Nonequilibrium pattern formation in chiral Langmuir monolayers with transmembrane flows
Nonequilibrium Langmuir monolayers including a fraction of chiral molecules
and subject to transmembrane flow are considered. The flow induces coherent
collective precession of chiral molecules. Our theoretical study shows that
splay interactions in this system lead to spatial redistribution of chiral
molecules and formation of spiral waves and target patterns observed in
experiments
Noise-induced breakdown of coherent collective motion in swarms
We consider swarms formed by populations of self-propelled particles with
attractive long-range interactions. These swarms represent multistable
dynamical systems and can be found either in coherent traveling states or in an
incoherent oscillatory state where translational motion of the entire swarm is
absent. Under increasing the noise intensity, the coherent traveling state of
the swarms is destroyed and an abrupt transition to the oscillatory state takes
place.Comment: 6 pages, 5 figures; to appear in Phys. Rev.
Dynamical clustering in oscillator ensembles with time-dependent interactions
We consider an ensemble of coupled oscillators whose individual states, in
addition to the phase, are characterized by an internal variable with
autonomous evolution. The time scale of this evolution is different for each
oscillator, so that the ensemble is inhomogeneous with respect to the internal
variable. Interactions between oscillators depend on this variable and thus
vary with time. We show that as the inhomogeneity of time scales in the
internal evolution grows, the system undergoes a critical transition between
ordered and incoherent states. This transition is mediated by a regime of
dynamical clustering, where the ensemble recurrently splits into groups formed
by varying subpopulations.Comment: 4 pages, 3 figure
Noise-Induced Transition from Translational to Rotational Motion of Swarms
We consider a model of active Brownian agents interacting via a harmonic
attractive potential in a two-dimensional system in the presence of noise. By
numerical simulations, we show that this model possesses a noise-induced
transition characterized by the breakdown of translational motion and the onset
of swarm rotation as the noise intensity is increased. Statistical properties
of swarm dynamics in the weak noise limit are further analytically
investigated.Comment: 7 pages, 7 figure
- …