3,107 research outputs found
Particle approximation for Lagrangian Stochastic Models with specular boundary condition
In this paper, we prove a particle approximation, in the sense of the
propagation of chaos, of a Lagrangian stochastic model submitted to specular
boundary condition and satisfying the mean no-permeability condition
Mean--field limit of a particle approximation of the one-dimensional parabolic--parabolic Keller-Segel model without smoothing
In this work, we prove the well--posedness of a singularly interacting
stochastic particle system and we establish propagation of chaos result towards
the one-dimensional parabolic-parabolic Keller-Segel model
Paramagnetic Meissner effect in voltage-biased proximity systems
Conventional superconductors respond to external magnetic fields by
generating diamagnetic screening currents. However, theoretical work has shown
that one can engineer systems where the screening current is paramagnetic,
causing them to attract magnetic flux -- a prediction that has recently been
experimentally verified. In contrast to previous studies, we show that this
effect can be realized in simple superconductor/normal-metal structures with no
special properties, using only a simple voltage bias to drive the system out of
equilibrium. This is of fundamental interest, since it opens up a new avenue of
research, and at the same time highlights how one can realize paramagnetic
Meissner effects without having odd-frequency states at the Fermi level.
Moreover, a voltage-tunable electromagnetic response in such a simple system
may be interesting for future device design.Comment: Article: 4 pages, 3 figures; Supplemental: 3 pages, no figures
Field-free nucleation of antivortices and giant vortices in non-superconducting materials
Giant vortices with higher phase-winding than are usually
energetically unfavorable, but geometric symmetry constraints on a
superconductor in a magnetic field are known to stabilize such objects. Here,
we show via microscopic calculations that giant vortices can appear in
intrinsically non-superconducting materials, even without any applied magnetic
field. The enabling mechanism is the proximity effect to a host superconductor
where a current flows, and we also demonstrate that antivortices can appear in
this setup. Our results open the possibility to study electrically controllable
topological defects in unusual environments, which do not have to be exposed to
magnetic fields or intrinsically superconducting, but instead display other
types of order.Comment: Revised version; 4 pages manuscript, 4 pages supplemental, 6 figure
Voltage control of superconducting exchange interaction and anomalous Josephson effect
Exerting control of the magnetic exchange interaction in heterostructures is
of both basic interest and has potential for use in spin-based applications
relying on quantum effects. We here show that the sign of the exchange
interaction in a spin-valve, determining whether the ferro- or
antiferromagnetic configuration is favored, can be controlled via an electric
voltage. This occurs due to an interplay between a nonequilibrium quasiparticle
distribution and the presence of spin-polarized Cooper pairs. Additionally, we
show that a voltage-induced distribution controls the anomalous supercurrent
that occurs in magnetic Josephson junctions, obviating the challenging task to
manipulate the magnetic texture of the system. This demonstrates that two key
phenomena in superconducting spintronics, the magnetic exchange interaction and
the phase shift generating the anomalous Josephson effect, can be controlled
electrically. Our findings are of relevance for spin-based superconducting
devices which in practice most likely have to be operated precisely by
nonequilibrium effects.Comment: 4 pages, 3 figures, 10 subfigures, revised editio
A stable Langevin model with diffusive-reflective boundary conditions
In this note, we consider the construction of a one-dimensional stable
Langevin type process confined in the upper half-plane and submitted to
reflective-diffusive boundary conditions whenever the particle position hits 0.
We show that two main different regimes appear according to the values of the
chosen parameters. We then use this study to construct the law of a (free)
stable Langevin process conditioned to stay positive, thus extending earlier
works on integrated Brownian motion. This construction further allows to obtain
the exact asymptotics of the persistence probability of the integrated stable
L{\'e}vy process. In addition, the paper is concluded by solving the associated
trace problem in the symmetric case
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