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Liquid Crystals: From Modified Phases to Applications 2014

ISBN: 9783906980850 9783906980867 Year: Pages: 320
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Added to DOAB on : 2015-10-22 06:24:45
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Liquid crystals can be found in both synthetic and natural materials, which include DNA, cellulose, soaps, and cholesteryl esters. Liquid crystal basic concepts are an inspiration for various branches of physics, chemistry, materials science, mathematics, biology, and engineering. These concepts enable the synthesis and characterization of new materials with low-molecular weight, as well as of polymeric and elastomeric materials. Fundamental theories and models of liquid crystals have gained great importance in many scientific communities. The concepts of orientational order and cooperative molecular behavior have entered the actual basic knowledge of the bio-sciences community, and have contributed to the understanding of muscle function, cell division and membranes, and morphogenesis.Recent trends in liquid crystal research include topics such as polymer-modified anisotropic fluids, dispersions of liquid crystals with various nano-sized particles, topological defects in soft materials, new lyotropic systems, liquid crystal functionality in living systems, and the synthesis of liquid crystal based functional materials (e.g., photonic materials, organic plastic conductors, semiconductors, materials in sensors, materials used in switchable GHz applications, and materials for data storage), along with the study of these materials’ properties and applications.

Kinetic Theory and Swarming Tools to Modeling Complex Systems—Symmetry problems in the Science of Living Systems

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ISBN: 9783039288793 / 9783039288809 Year: Pages: 118 DOI: 10.3390/books978-3-03928-880-9 Language: eng
Publisher: MDPI - Multidisciplinary Digital Publishing Institute
Subject: Technology (General) --- Economics
Added to DOAB on : 2020-06-09 16:38:57
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This MPDI book comprises a number of selected contributions to a Special Issue devoted to the modeling and simulation of living systems based on developments in kinetic mathematical tools. The focus is on a fascinating research field which cannot be tackled by the approach of the so-called hard sciences—specifically mathematics—without the invention of new methods in view of a new mathematical theory. The contents proposed by eight contributions witness the growing interest of scientists this field. The first contribution is an editorial paper which presents the motivations for studying the mathematics and physics of living systems within the framework an interdisciplinary approach, where mathematics and physics interact with specific fields of the class of systems object of modeling and simulations. The different contributions refer to economy, collective learning, cell motion, vehicular traffic, crowd dynamics, and social swarms. The key problem towards modeling consists in capturing the complexity features of living systems. All articles refer to large systems of interaction living entities and follow, towards modeling, a common rationale which consists firstly in representing the system by a probability distribution over the microscopic state of the said entities, secondly, in deriving a general mathematical structure deemed to provide the conceptual basis for the derivation of models and, finally, in implementing the said structure by models of interactions at the microscopic scale. Therefore, the modeling approach transfers the dynamics at the low scale to collective behaviors. Interactions are modeled by theoretical tools of stochastic game theory. Overall, the interested reader will find, in the contents, a forward look comprising various research perspectives and issues, followed by hints on to tackle these.

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