Now showing items 1-20 of 108

• #### Non-cooperative Equilibria of Fermi Systems With Long Range Interactions ﻿

(Memoirs of the AMS, 2013-07)
We define a Banach space $\mathcal{M}_{1}$ of models for fermions or quantum spins in the lattice with long range interactions and explicit the structure of (generalized) equilibrium states for any \$\mathfrak{m}\in ...
• #### The M-Wright function as a generalization of the Gaussian density for fractional diffusion processes ﻿

(Fractional Calculus and Applied Analysis, 2013-12-31)
The leading role of a special function of the Wright-type, referred to as M-Wright or Mainardi function, within a parametric class of self-similar stochastic processes with stationary increments, is surveyed. This class ...
• #### Two-particle anomalous diffusion: Probability density functions and self-similar stochastic processes ﻿

(Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2013-12-31)
Two-particle dispersion is investigated in the context of anomalous diffusion. Two different modeling approaches related to time subordination are considered and unified in the framework of self-similar stochastic processes. ...
• #### Heat production of noninteracting fermions subjected to electric fields ﻿

(Communications on Pure and Applied Mathematics, 2014-07-21)
Electric resistance in conducting media is related to heat (or entropy) production in the presence of electric fields. In this paper, by using Araki's relative entropy for states, we mathematically define and analyze the ...
• #### Macroscopic conductivity of free fermions in disordered media ﻿

(Reviews in Mathematical Physics, 2014-12-31)
We conclude our analysis of the linear response of charge transport in lattice systems of free fermions subjected to a random potential by deriving general mathematical properties of its conductivity at the macroscopic ...
• #### Fractional relaxation with time-varying coefficient ﻿

(Fractional Calculus and Applied Analysis, 2014-12-31)
From the point of view of the general theory of the hyper-Bessel operators, we consider a particular operator that is suitable to generalize the standard process of relaxation by taking into account both memory effects of ...
• #### Front propagation in anomalous diffusive media governed by time-fractional diffusion ﻿

(Journal of Computational Physics, 2014-12-31)
In this paper, a multi-dimensional model is proposed to study the propagation of random fronts in media in which anomalous diffusion takes place. The front position is obtained as the weighted mean of fronts calculated by ...
• #### Self-similar stochastic models with stationary increments for symmetric space-time fractional diffusion ﻿

(MESA 2014 - 10th IEEE/ASME International Conference on Mechatronic and Embedded Systems and Applications, Conference Proceedings, 2014-12-31)
An approach to develop stochastic models for studying anomalous diffusion is proposed. In particular, in this approach the stochastic particle trajectory is based on the fractional Brownian motion but, for any realization, ...
• #### Short note on the emergence of fractional kinetics ﻿

(Physica A: Statistical Mechanics and its Applications, 2014-12-31)
In the present Short Note an idea is proposed to explain the emergence and the observation of processes in complex media that are driven by fractional non-Markovian master equations. Particle trajectories are assumed to ...
• #### Modelling wildland fire propagation by tracking random fronts ﻿

(Natural Hazards and Earth System Sciences, 2014-12-31)
Abstract. Wildland fire propagation is studied in the liter- ature by two alternative approaches, namely the reaction– diffusion equation and the level-set method. These two ap- proaches are considered alternatives to each ...
• #### From the 2nd Law of Thermodynamics to AC–Conductivity Measures of Interacting Fermions in Disordered Media ﻿

(Mathematical Models and Methods in Applied Sciences, 2015-05-20)
We study the dynamics of interacting lattice fermions with random hopping amplitudes and random static potentials, in presence of time-dependent electromagnetic fields. The interparticle interaction is short-range and ...
• #### D-Wave pairing driven by bipolaric modes related to giant electron-phonon anomalies in high-Tc superconductors ﻿

(Journal of Statistical Mechanics: Theory and Experiment, 2015-12-31)
Taking into account microscopic properties of most usual high-Tc superconductors, like cuprates, we define a class of microscopic model Hamiltonians for two fermions (electrons or holes) and one boson (bipolaron) on the ...
• #### Velocity and energy distributions in microcanonical ensembles of hard spheres ﻿

(Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 2015-12-31)
In a microcanonical ensemble (constant NVE, hard reflecting walls) and in a molecular dynamics ensemble (constant NVEPG, periodic boundary conditions) with a number N of smooth elastic hard spheres in a d-dimensional volume ...
• #### A renewal model for the emergence of anomalous solute crowding in liposomes ﻿

(BMC Systems Biology, 2015-12-31)
A fundamental evolutionary step in the onset of living cells is thought to be the spontaneous formation of lipid vesicles (liposomes) in the pre-biotic mixture. Even though it is well known that hydrophobic forces drive ...
• #### AC-Conductivity Measure from Heat Production of Free Fermions in Disordered Media ﻿

(Archive for Rational Mechanics and Analysis, 2015-12-31)
We extend (Bru et al. in J Math Phys 56:051901-1-51, 2015) in order to study the linear response of free fermions on the lattice within a (independently and identically distributed) random potential to a macroscopic electric ...
• #### Characterization of the Quasi-Stationary State of an Impurity Driven by Monochromatic Light II: Microscopic Foundations ﻿

(Annales Henri Poincare, 2015-12-31)
From quantum mechanical first principles only, we rigorously study the time-evolution of a N-level atom (impurity) interacting with an external monochromatic light source within an infinite system of free electrons at ...
• #### Scaling law of diffusivity generated by a noisy telegraph signal with fractal intermittency ﻿

(Chaos, Solitons and Fractals, 2015-12-31)
In many complex systems the non-linear cooperative dynamics determine the emergence of self-organized, metastable, structures that are associated with a birth-death process of cooperation. This is found to be described by ...
• #### Microscopic Conductivity of Lattice Fermions at Equilibrium. Part II: Interacting Particles ﻿

(Letters in Mathematical Physics, 2015-12-31)
We apply Lieb–Robinson bounds for multi-commutators we recently derived (Bru and de Siqueira Pedra, Lieb–Robinson bounds for multi-commutators and applications to response theory, 2015) to study the (possibly non-linear) ...
• #### The emergence of self-organization in complex systems-Preface ﻿

(Chaos, Solitons and Fractals, 2015-12-31)
[No abstract available]
• #### Microscopic conductivity of lattice fermions at equilibrium. I. Non-interacting particles ﻿

(Journal of Mathematical Physics, 2015-12-31)
We consider free lattice fermions subjected to a static bounded potential and a timeand space-dependent electric field. For any bounded convex region R âŠ‚ â„ (d (d â‰¥ 1) of space, electric fields Îµ within R drive currents. ...