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Now showing items 1-6 of 6

#### The emergence of self-organization in complex systems-Preface

(2018-12-19)

In this thesis, we present a mathematical study of three problems arising in the kinetic theory of quantum gases.
In the first part, we consider a Boltzmann equation that is used to describe the time evolution of the ...

#### The role of the environment in front propagation

(Ann. Phys. (Berl.), 2018-12-10)

The discovery of high-temperature superconductors in 1986 represented a major experimental breakthrough (Nobel Prize 1987), but their theoretical explanation is still a subject of much debate. These materials have many ...

#### Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency

(2018-08-15)

A Boltzmann equation, used to describe the Compton scattering in the non-relativistic limit is considered. A truncation of the very singular redistribution function is introduced and justified. The existence of weak solutions ...

#### Fractional relaxation with time-varying coefficient

(2018-03-27)

The existence of global solutions for a system of differential equations is proved, and some of their properties are described. The system involves a kinetic equation for quantum particles. It is a simplified version of ...

#### Velocity and energy distributions in microcanonical ensembles of hard spheres

(2018-03-21)

High-temperature superconductors have different properties than conventional superconductors, one of these important properties is non-isotropic symmetry of the order parameter. In this work we present a model that shows ...

#### Crossover from anomalous to normal diffusion: truncated power-law noise correlations and applications to dynamics in lipid bilayers

(Commun. Math. Phys., 2018-01-24)

We supplement the determinantal and Pfaffian bounds of Sims and Warzel (Commun Math Phys 347:903--931, 2016) for many-body localization of quasi-free fermions, by considering the high dimensional case and complex-time ...