EPJ ST Special Issue: Nonextensive Statistical Mechanics, Superstatistics and Beyond: Theory and Applications in Astrophysical and Other Complex Systems
- Published on 07 September 2018
After more than 140 years of impressive success there is no reasonable doubt that the Boltzmann-Gibbs (BG) entropy is the correct one to be used for a wide and important class of physical systems, basically those whose (nonlinear) dynamics is strongly chaotic i.e., for classical systems with positive maximal Lyapunov exponent, which are mixing and ergodic. However, a plethora of physical complex systems exists for which such simplifying dynamical hypotheses are violated; typical examples are those for which the maximal Lyapunov exponent vanishes, leading to sub-exponential sensitivity to the initial conditions, which can of course occur in a variety of mathematical ways.
Corresponding anomalies are found in a variety of quantum systems as well. In order to statistically describe the dynamics of such systems, various generalised forms of statistical mechanics have been proposed such as those using the nonadditive entropies Sq (where q is a real number which, for q=1, recovers the BG entropy), kappa distributions (also known as q-Gaussians, where kappa is simply related to q), superstatistical approaches, among various others. In the last decades, these new generalised statistical mechanical formalisms have found a large variety of very successful applications, even beyond the realm of physics. This special issue aims to cover the most recent analytical, experimental, observational and computational aspects and examples where these new extended formalisms have found fruitful applications.
Topics include, but are not limited to:
- Generalised Central Limit theorems
- Generalised Large deviation theory
- Low-dimensional nonlinear conservative and dissipative dynamical systems near the edge of chaos
- Long-range-interacting many-body classical Hamiltonian systems
- Complex networks
- Area-law-like quantum systems
- Applications in astrophysics, space and other plasma physics, geophysics, high energy physics, cosmology, granular matter, cold atoms, econophysics, theoretical and structural chemistry, biophysics, social systems, power grids, image and time series processing, among others.
Guest Editors: Andrea Rapisarda, Constantino Tsallis, Christian Beck, George Livadiotis, Ugur Tirnakli, and Giorgio Benedek.
Call for papers:
The Guest Editors invite authors to submit their original research and short reviews on the theme of the Special Issue of the European Physical Journal -Special Topics. Articles should be submitted to the Editorial Office of EPJ: ST by selecting the "Nonextensive Statistical Mechanics, Superstatistics and Beyond" as a special issue at: https://articlestatus.edpsciences.org/is/epjst/home.phpAuthors submitting to the issue should follow submission guidelines here. Manuscripts should be prepared using the latex template of EPJ ST, which can be downloaded here.
- Published on 29 August 2018
The real-world scenario of an emergent collective behavior, either in a biological, neuronal, ecological or a social network, raises the challenge of quantifying the impact of diffusion on the rich set of mutual interactions. As well, it is also vital to quantify the dynamics of information spreading that manifests either as an abrupt, explosive phenomenon or as a cascading phenomenon across different degrees of freedom. In this context, multiplex networks arise as the most apt theoretical paradigm, highlighting an additional dimension of complexity in essential relations and thus providing a more inherent description for such systems.
Layered neuronal spiking and bursting, different stages of a dynamical response to an infection, epidemic spreading, competitive dynamics across different layers of a social networks, to name just some examples, are all affected by interplay of multiple tiles of composition, which embodies structural and functional correlations between different spatiotemporal regimes on a multilayer network.
Recent research has shown that layer-driven dynamics is the key in a wide variety of different dynamical processes, in turn giving rise to a novel set of critical phenomena, ranging from super-diffusive patterns to a first order percolation transition and multipartite synchronization manifolds involving multi-chimera states. Along these lines, the coevolution of the dynamics across different layers, bridging the gap between epidemic and awareness spreading, has also been shown to give rise to novel types of reaction-diffusion processes.
Taken together, there is thus a clear need to advance on these fascinating subjects with a dedicated special issue, not least also in connection to applications in real-world networks and systems interactions.
This special thus issue intends to collect original research articles on theory and experiment, as well as reviews on the recent trends concerning the diffusion dynamics associated with multilayer networks.
Topics include, but are not limited to:
- *Diffusion patterns in multilayer networks
- *Synchronization in multilayer networks
- *Multistability in multilayer networks
- *Selfsimilarity in multilayer networks
- *Chimera states in multilayer networks
- *Spontaneous symmetry breaking in multilayer networks
- *Epidemics transmission dynamics in multilayer networks
- *Awareness spreading in multilayer networks
- *Cooperation in multilayer networks
- *Reaction-diffusion in multilayer networks
- *Quantum multilayer networks
Call for papers:
The Guest Editors invite authors to submit their original research on diffusion dynamics and information spreading in multilayer networks, including the detailed review articles on this Topical Issue. Articles should be submitted to the Editorial Office of EPJ: ST by selecting the "Diffusion dynamics and information spreading in multilayer networks" as a special issue at: https://articlestatus.edpsciences.org/is/epjst/home.php
Submission deadline: 27th January 2019.
Vesna Berec (University of Belgrade) and Matjaz Perc (University of Maribor).
- Published on 06 March 2018
One of the tasks underpinning the recent development of a Statistical Mechanical theory for non-equilibrium systems concerns the understanding of the role of microscopic dynamics in giving rise to complex behaviors observed at the macroscopic level of description. A paradigmatic example is traditionally offered by turbulence, which, according to Kolmogorov’s theory, is characterized by an interplay between different physical scales in the form of an energy cascade from large to small scale eddies.
More recently, a great research activity pointed towards the understanding of the microscopic origin of a curious thermodynamic phenomenon, called “uphill diffusion”. Typically, textbooks talk about diffusion recalling that a species tends to move against the gradient of its concentration. This may no longer be the case if diffusion occurs in a multicomponent system, and the interaction among different species is responsible for the breaking of the basic tenet of the Fick’s law. More intriguing is the case of uphill diffusion taking place within a single component system in an inhomogeneous environment or in presence of a phase transition. This is a timely, and still open, research topic that recently witnessed a joint effort of theoretical and experimental work. Research in this direction spanned a broad range of models: from stochastic cellular automata equipped with Kac potentials to 2D Ising models with Kawasaki dynamics and inhomogeneous Zero Range models.
The investigation of microscopic models undergoing a stochastic dynamics proved also to be a useful tool in the investigation of the large scale behavior observed in traffic phenomena and pedestrian flows. Much of the research effort in this field regarded the development, from the details of the microscopic dynamics, of the so-called fundamental diagrams, expressing the relation between the particle flux and the particle density. Experimental data evidence the presence of complex behaviors in which the velocity decreases with the density, and different logistic regimes are identified. A recent modelling approach based on the study of lattice gas models subject to dynamical thresholds proved effective in recovering a wealth of experimental data. Remarkably, the presence of a dynamical threshold at the microscopic scale is still visible at the macroscopic scale, being ultimately responsible for the non-monotonic behavior of the fundamental diagram.
A crucial aspect of non-equilibrium statistical mechanics also concerns the study of hydrodynamic limit of particle systems. A recent line of investigation tackled, in particular, the derivation of macroscopic equations for inhomogeneous particle models and evidenced the onset of different macroscopic scenarios depending on the nature of the microscopic inhomogeneities.
This special issue aims at collecting original research articles on theory and experiments, as well as review reports on the recent trends of microscopic dynamics and its associated complex phenomena.
The topics include, but are not limited to:
- Microscopic entropy and microscopic complexity;
- Microscopic chaos: Chemical reactors, Plasmas, Brownian motion, chaotic transport theory etc.;
- Interacting particle systems: Monte Carlo simulations and hydrodynamic limits;
- Biological applications of nonequilibrium micrscopic dynamics;
- Stochastic processes and transport phenomena.
Call for papers:
We would like to invite the authors to submit their original research articles on microscopic dynamics in nonequilibrium processes. Detailed review articles on the topics are also welcome.
Submission deadline: 27th July 2018.
Articles should be submitted to the Editorial Office of EPJ ST https://articlestatus.edpsciences.org/is/epjst/home.php, and should be clearly identified as intended for the topical issue “Microscopic dynamics, chaos and transport in nonequilibrium processes” (use the pull down menu).
Santo Banerjee (Institute for Mathematical Research and Malaysia-Italy Centre of Excellence for Mathematical Science; University Putra Malaysia, Malaysia) and Matteo Colangeli (Department of Information Engineering, Computer Science and Mathematics, University of L’Aquila, Italy).
- Published on 23 January 2018
We are pleased to announce the publication of a collection of research articles on “Topological States of Matter: Theory and Applications”. This exclusive collection will provide a portal to the latest developments in this interdisciplinary field carried out by leading members of the community. The complete manuscript must report original research organized in the form of a mini review (10-15 pages) or a regular contribution (5-10 pages).
Deadline for submission: July 30th, 2018.