Dear Colleagues,

This Special Issue will present current research on entropy transformation in various fields, especially for complex open nonequilibrium systems.
The transformation of entropy (and information) in complex, especially nonequilibrium, systems is still an important problem in kinetic theory, hydrodynamics, nonlinear physics, biology, genetics, neuroscience, etc. Entropy, Lyapunov exponents, and other similar theoretical tools are used in the qualitative and quantitative analysis of the complexity of dynamics. Nonequilibrium and complex close-to-equilibrium processes (including nonequilibrium and particularly unstable flows) attract the attention of many researchers around the world.

The Special Issue focuses on, but is not limited to, research and applied work on complex processes in which significant entropy transformation occurs. The complexity of these systems can be estimated using various definitions of entropy and information, and by theoretically developing these notions. Dissipative structures (open nonequilibrium systems in terms of different authors) can demonstrate fundamentally new physical properties and relationships. Dissipative structures described by kinetic methods may be of particular interest.

Boltzmann’s kinetic theory, including the notion of statistical nonequilibrium entropy and the H-theorem, proposes an important new path in the study of complex systems and flows. Boltzmann and other kinetic equations can be used to simulate processes that differ significantly from nonequilibrium thermodynamics. At the same time, modern kinetic CFD (computational fluid dynamics) methods are able to adequately describe near-to-equilibrium and far-from-equilibrium flows.
The transformation of entropy, its extreme properties in open systems, and the conditions for decreasing entropy require special analysis. This is interesting from the perspective of the hypothesis of the strong nonequilibrium of biological structures. There is a significant difference in describing living systems when comparing the use of thermodynamic and statistical definitions of entropy. The formulation of the second law of thermodynamics based on statistical entropy is important because of the nonclassical heat transfer in some nonequilibrium flows.

Other research topics are also welcome, such as informational transformations associated with the structures of the genome and their role in the organization of complex biological organisms; descriptions of the structure of the brain, represented by neuron-like networks, using statistical and kinetic methods; and complexity theory in this and similar areas.
This Issue will accept unpublished original papers, short communications, and appropriate reviews that pertain (but are not restricted) to the following research areas:

• Development of the theoretical apparatus of entropy and its application for complex systems.
• Nonequilibrium processes and flows in different media.
• Comparison of the use of thermodynamic and kinetic approaches for entropy transformations.
• Dissipative structures and extremes of entropy generation.
• Methods for the description of nonequilibrium processes in biological systems.
• Complexity and transformation of information in genetics.
• Statistical modeling in complex neural networks.
• Entropy and information in many-particle systems.
• Transition between order and disorder including entropy and information transforms.

Prof. Dr. Vladimir Aristov
Guest Editor

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 100 words) can be sent to the Editorial Office for announcement on this website.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Entropy is an international peer-reviewed open access monthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

• Thermodynamical and statistical entropy
• Entropy transformation
• Thermodynamics of nonequilibrium processes
• Kinetic theory
• H-function, information and negentropy
• Dissipative structures
• Biology
• Genetics
• Complex networks