<p><strong>Figure 1.</strong> Solution of the variational equation (<a href="http://iopscience.iop.org/0953-4075/46/17/175401/article#jpb467377eqn130" target="_blank">130</a>) for \bar{f}_1=1. The dotted curves show the pure large-<em>y</em> behaviour.</p> <p><strong>Abstract</strong></p> <p>While free and weakly interacting nonrelativistic particles are described by a Gross–Pitaevskii equation, which is a nonlinear self-interacting Schrödinger equation, the phenomena in the strong-coupling limit are governed by an effective action that is extremized by a double-fractional generalization of this equation. Its particle orbits perform Lévy walks rather than Gaussian random walks.</p
We study the dynamics of the Schrödinger equation with a fractional Laplacian (−Δ)α and the decohere...
A classical field theory for a Schrödinger equation with a non-Hermitian Hamiltonian describing a pa...
In stochastic systems with weak noise, the logarithm of the stationary distribution becomes proporti...
While free and weakly interacting nonrelativistic particles are described by a Gross-Pitaevskii equa...
We introduce a stochastic particle system that corresponds to the Fokker–Planck equa-tion with decay...
We use hydrodynamics techniques to study the large deviations properties of the McKean-Vlasov model ...
We introduce a stochastic particle system that corresponds to the Fokker–Planck equation with decay ...
AbstractWe use hydrodynamics techniques to study the large deviations properties of the McKean–Vlaso...
We consider N bosons in a box in R(d) with volume N/rho under the influence of a mutually repellent ...
In this study we derive a single-particle equation of motion, from first principles, starting out wi...
We study the dynamics of a quantum particle governed by a linear Schrödinger equation with a scaled...
We consider N bosons in a box in Rd with volume N/ρ under the in- fluence of a mutually repellent pa...
An analytical model for multicomponent systems of nonlocally interacting particles is presented. Its...
We consider hydrodynamic scaling limits for a class of reversible interacting particle systems, whic...
Following suggestions by several authors that the gravity may play a role in the collapse of the wav...
We study the dynamics of the Schrödinger equation with a fractional Laplacian (−Δ)α and the decohere...
A classical field theory for a Schrödinger equation with a non-Hermitian Hamiltonian describing a pa...
In stochastic systems with weak noise, the logarithm of the stationary distribution becomes proporti...
While free and weakly interacting nonrelativistic particles are described by a Gross-Pitaevskii equa...
We introduce a stochastic particle system that corresponds to the Fokker–Planck equa-tion with decay...
We use hydrodynamics techniques to study the large deviations properties of the McKean-Vlasov model ...
We introduce a stochastic particle system that corresponds to the Fokker–Planck equation with decay ...
AbstractWe use hydrodynamics techniques to study the large deviations properties of the McKean–Vlaso...
We consider N bosons in a box in R(d) with volume N/rho under the influence of a mutually repellent ...
In this study we derive a single-particle equation of motion, from first principles, starting out wi...
We study the dynamics of a quantum particle governed by a linear Schrödinger equation with a scaled...
We consider N bosons in a box in Rd with volume N/ρ under the in- fluence of a mutually repellent pa...
An analytical model for multicomponent systems of nonlocally interacting particles is presented. Its...
We consider hydrodynamic scaling limits for a class of reversible interacting particle systems, whic...
Following suggestions by several authors that the gravity may play a role in the collapse of the wav...
We study the dynamics of the Schrödinger equation with a fractional Laplacian (−Δ)α and the decohere...
A classical field theory for a Schrödinger equation with a non-Hermitian Hamiltonian describing a pa...
In stochastic systems with weak noise, the logarithm of the stationary distribution becomes proporti...