956 citations
- European Theoretical Spectroscopy FacilityBE9 papers
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20 papers · 1 filter
Effective Action Approach for Quantum Phase Transitions in Bosonic Lattices
Barry Bradlyn, Francisco Ednilson A. dos Santos, Axel Pelster
Based on standard field-theoretic considerations, we develop an effective action approach for investigating quantum phase transitions in lattice Bose systems at arbitrary temperatu…
Fractional Diffusion Processes: Probability Distributions and Continuous Time Random Walk
Rudolf Gorenflo, Francesco Mainardi
A physical-mathematical approach to anomalous diffusion may be based on fractional diffusion equations and related random walk models. The fundamental solutions of these equations…
Continuous time random walk, Mittag-Leffler waiting time and fractional diffusion: mathematical aspects
Rudolf Gorenflo, Francesco Mainardi
We show the asymptotic long-time equivalence of a generic power law waiting time distribution to the Mittag-Leffler waiting time distribution, characteristic for a time fractional…
Discrete random walk models for space-time fractional diffusion
Rudolf Gorenflo, Francesco Mainardi, Daniele Moretti +2
A physical-mathematical approach to anomalous diffusion may be based on generalized diffusion equations (containing derivatives of fractional order in space or/and time) and relate…
Time-fractional diffusion of distributed order
Francesco Mainardi, Antonio Mura, Gianni Pagnini +1
The partial differential equation of Gaussian diffusion is generalized by using the time-fractional derivative of distributed order between 0 and 1, in both the Riemann-Liouville (…
The two forms of fractional relaxation of distributed order
Francesco Mainardi, Antonio Mura, Rudolf Gorenflo +1
The first-order differential equation of exponential relaxation can be generalized by using either the fractional derivative in the Riemann-Liouville (R-L) sense and in the Caputo…