منابع مشابه
2 2 Ju n 20 09 Lévy flights in confining potentials
We analyze confining mechanisms for Lévy flights. When they evolve in suitable external potentials their variance may exist and show signatures of a superdiffusive transport. Two classes of stochastic jump type processes are considered: those driven by Langevin equation with Lévy noise and those, named by us topological Lévy processes (occurring in systems with topological complexity like folde...
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We define and study holelike excitations (the Lieb II mode) in a weakly interacting Bose liquid subject to external confinement. These excitations are obtained by semiclassical quantization of gray solitons propagating on top of a Thomas-Fermi background. Radiation of phonons by an accelerated gray soliton leads to a finite lifetime of these excitations. It is shown that, for a large number of ...
متن کاملTwo - body problems with confining potentials
A formalism is presented that allows an asymptotically exact solution of non-relativistic and semi-relativistic two-body problems with infinitely rising confining potentials. We consider both linear and quadratic confinement. The additional shortrange terms are expanded in a Coulomb-Sturmian basis. Such kinds of Hamiltonians are frequently used in atomic, nuclear, and particle physics.
متن کاملThermalization of Random Motion in Weakly Confining Potentials
We show that in weakly confining conservative force fields, a subclass of diffusion-type (Smoluchowski) processes, admits a family of “heavy-tailed” non-Gaussian equilibrium probability density functions (pdfs), with none or a finite number of moments. These pdfs, in the standard Gibbs-Boltzmann form, can also be inferred directly from an extremum principle, set for Shannon entropy under a cons...
متن کاملModified magnetic quantum dot with electric confining potentials
The electronic properties of a modified magnetic quantum dot are studied. The modified magnetic quantum dot is a quantum structure that is formed by spatially inhomogeneous distributions of magnetic fields. Electrons are magnetically confined to the plane where the magnetic fields inside and outside the dot are different from each other. The energy spectrum exhibits quite different features dep...
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ژورنال
عنوان ژورنال: Physica A: Statistical Mechanics and its Applications
سال: 2010
ISSN: 0378-4371
DOI: 10.1016/j.physa.2009.11.021