1. Anomalous Diffusion

Workshop organized by: S. Abe and J.P. Boon

 

This workshop will bring together experts who have developed various theoretical approaches for the analysis of Anomalous Diffusion and experimentalists who have explored and measured diffusive phenomena and reaction-diffuusion processes in particular in biological systems.


Diffusion is an ubiquitous phenomenon observed in physical, chemical, biological, social, algorithmic systems where "objects" (particles, molecules, cells, individuals, agents, ...) move in a seemingly random sequence of steps in such a way that their mean squared displacement increases linearly in time: <r^2>~t. However there are many instances where the "objects" do not move freely: obstacles, time delays, interactions can modify their trajectories such that the mean squared displacement deviates from the linear law. So more generally, one observes that the characteristic spatial scale varies like  l~t^(γ/2) where for normal diffusion γ=1 while if γ<>1 one talks about anomalous diffusion: when 0<γ<1 the process is said to be sub-diffusive and when γ>1 it is super-diffusive. As a result, there has been considerable interest in developing stochastic models capable of generating such behavior. Diverse microscopic dynamics can give rise to "diffusion" at the macroscopic level, but the underlying mechanisms may be quite different; for instance the distinction should be made between tracer motion where experimentally one follows trajectories of distinguishable particles seeded in an active medium and molecular diffusion where the motion of tagged particles, while identical to the medium particles, is made observable by radioactive or  fluorescent markers.
One class of diffusion models involves the use of memory. Non-Markovian dynamics is the mechanism behind the fractional Brownian motion and the use of correlated noise in the generalized Langevin equation leads to the fractional Fokker-Planck equation describing the phenomenology of anomalous diffusion in large ensembles and for single trajectories. On the other hand a Markovian random walk can also give rise to anomalous diffusion in a nonlinear formulation of the diffusion equation. A description of sub-diffusion based on non-Markovian models gives the fractional Fokker-Planck equation leading to a stretched-exponential distribution while the nonlinear theory gives algebraic power-law distributions. Both approaches have also been extended to the description of nonlinear reaction-diffusion systems. While in most studies the theories have been substantiated by numerical simulations, explicit comparisons between the theoretical results and experimental data are much scarcer. Therefore, new analytic developments in connection with experimental observations will be of considerable interest.

News

SigmaPhi Awards

During the conference, six works selected out of all the oral and poster presentations have been awarded. The prizes have been supported by the following institutions: - European Phy...

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School of Statistical Physics

New Trends in StatPhys: Organized by G. Caldarelli and G. Kaniadakis

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EPS Young Researcher Grants

The Organizing Committee of the SigmaPhi 2017 International Conference is very please to inform that the EPS Young Researcher Grants have been assigned

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Elsevier lectures

The publishing company Elsevier sponsors two lectures

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Springer Nature Lectures

The publishing company Springer Nature sponsors three lectures

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EPS-SNP Meeting

The summer board meeting of the European Physical Society - Statistical and Nonlinear Physics Division (EPS-SNP) will be held during the SigmaPhi2017 Conference

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SigmaPhi2017 Europhysics Conference

The European Physical Society (EPS) has recognized the SigmaPhi2017 as Europhysics Conference.

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Workshops

1. Kappa Distributions and Statistical Mechanics

Workshop organized by: G. Livadiotis, P. Yoon and K. Dialynas

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2. Statistical Physics for the Digital Economy

Workshop organized by: T. Aste, G. Caldarelli, T. Di Matteo and G. Livan

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3. Quantum Matter

Workshop organized by: S. Kourtis, D. Ellinas and J. Pachos

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4. Statistical Physics of Environment, Climate and Ecosystems

Workshop organized by: P. Ditlevsen, D. Hristopulos and D. Valenti

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5. Complexity and self-organization in biology and physiology

Workshop organized by: P. Paradisi and R. Metzler

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6. Sociophysics and Econophysics

Workshop organized by: M.L. Bertotti and V. Constantoudis

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Special Sessions

A1. Stochastic Processes in Complex Environments

Special Session organized by: J. Talbot and C. Mejia-Monasterio

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A2. Kinetic Theory and its applications

Special Session organized by: G. Palasanzas and A. Rossani

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A3. Information Geometry

Special Session organized by: D. Johnston, H. Matsuzoe, G. Ruppeiner and T. Wada

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Scientific Sponsors 2017

 Statistical and Nonlinear

Physics Division 

Politecnico di Torino

Italy

 

 

 Department of Applied

Science and Technology

 

 ISC - CNR

Roma, Italy

 Technical University of

Crete Chania, Greece

 Aristotele University of

Thessaloniki, Greece

N.C.S.R. Demokritos

Athens, Greece

Italian National Institute

for Nuclear Physics

 

University of Cagliari

Italy

 

 

University of Leuven

Belgium

 

 

 

 

 Springer

 

 

 

 Entropy

 

 

 

 Elsevier

 

Chaos, Solitons

& Fractals

 

Modern Physics

Letters B

 

International Journal

of Modern Physics B