Viscoelastic Subdiffusive Flows
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Viscoelastic Subdiffusive Flows
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Author : Helen Wilson
language : en
Publisher: Springer Nature
Release Date : 2024-12-31
Viscoelastic Subdiffusive Flows written by Helen Wilson and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-12-31 with Technology & Engineering categories.
This book discusses the dynamical and rheological properties of high molecular weight entangled polymer melts, commonly known as viscoelastic subdiffusive fluids. Unlike dilute liquids, these materials exhibit molecular transport within a sublinear regime, meaning the timescale of diffusive transport is sublinear. The text emphasizes the potential of fractional calculus in modeling these fluids and introduces a novel fractional model to investigate regions of spatiotemporal instability in channel flows. At the microscale, the entanglement of polymer chains leads to localized, non-homogeneous regions with increased viscosity, which manifest as spatiotemporal macrostructures at the macroscale. To capture these macrostructures within the flow, direct numerical simulations are employed using a newly developed, physically realizable structure tensor, contributing to a deeper understanding of this complex class of fluids.
Advances In Chemical Physics Volume 150
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Author : Stuart A. Rice
language : en
Publisher: John Wiley & Sons
Release Date : 2012-02-08
Advances In Chemical Physics Volume 150 written by Stuart A. Rice and has been published by John Wiley & Sons this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-08 with Science categories.
The Advances in Chemical Physics series the cutting edge of research in chemical physics The Advances in Chemical Physics series provides the chemical physics and physical chemistry fields with a forum for critical, authoritative evaluations of advances in every area of the discipline. Filled with cutting-edge research reported in a cohesive manner not found elsewhere in the literature, each volume of the Advances in Chemical Physics series presents contributions from internationally renowned chemists and serves as the perfect supplement to any advanced graduate class devoted to the study of chemical physics. This volume explores: Multidimensional Incoherent Time-Resolved Spectroscopy and Complex Kinetics (Mark A. Berg) Complex Multiconfigurational Self-Consistent Field-Based Methods to Investigate Electron-Atom/Molecule Scattering Resonances (Kousik Samanta and Danny L. Yeager) Determination of Molecular Orientational Correlations in Disordered Systems from Diffraction Data (Szilvia Pothoczki, László Temleitner, and László Pusztai) Recent Advances in Studying Mechanical Properties of DNA (Reza Vafabakhsh, Kyung Suk Lee, and Taekjip Ha) Viscoelastic Subdiffusion: Generalized Langevin Equation Approach (Igor Goychuk) Efficient and Unbiased Sampling of Biomolecular Systems in the Canonical Ensemble: A Review of Self-Guided Langevin Dynamics (Xiongwu Wu, Ana Damjanovic, and Bernard R. Brooks)
Fractional Order Modeling Of Nuclear Reactor From Subdiffusive Neutron Transport To Control Oriented Models
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Author : Vishwesh Vyawahare
language : en
Publisher: Springer
Release Date : 2018-02-03
Fractional Order Modeling Of Nuclear Reactor From Subdiffusive Neutron Transport To Control Oriented Models written by Vishwesh Vyawahare and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-02-03 with Technology & Engineering categories.
This book addresses the topic of fractional-order modeling of nuclear reactors. Approaching neutron transport in the reactor core as anomalous diffusion, specifically subdiffusion, it starts with the development of fractional-order neutron telegraph equations. Using a systematic approach, the book then examines the development and analysis of various fractional-order models representing nuclear reactor dynamics, ultimately leading to the fractional-order linear and nonlinear control-oriented models. The book utilizes the mathematical tool of fractional calculus, the calculus of derivatives and integrals with arbitrary non-integer orders (real or complex), which has recently been found to provide a more compact and realistic representation to the dynamics of diverse physical systems. Including extensive simulation results and discussing important issues related to the fractional-order modeling of nuclear reactors, the book offers a valuable resource for students and researchers working in the areas of fractional-order modeling and control and nuclear reactor modeling.
Fractional Derivatives For Physicists And Engineers
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Author : Vladimir V. Uchaikin
language : en
Publisher: Springer Nature
Release Date : 2025-07-21
Fractional Derivatives For Physicists And Engineers written by Vladimir V. Uchaikin and has been published by Springer Nature this book supported file pdf, txt, epub, kindle and other format this book has been release on 2025-07-21 with Science categories.
This book brings new perspectives in front of the reader dealing with turbulence and semiconductors, plasma and thermodynamics, mechanics and quantum optics, nanophysics and astrophysics. The first derivative of a particle coordinate means its velocity, the second means its acceleration, but what does a fractional order derivative mean? Where does it come from, how does it work, where does it lead to? The two-volume book written on high didactic level answers these questions. The first volume (ISBN: 978-3-642-33910-3) contains a clear introduction into such a modern branch of analysis as fractional calculus. This second volume develops a wide panorama of applications of the fractional calculus to various physical problems. This book is addressed to students, engineers and physicists, specialists in theory of probability and statistics, in mathematical modeling and numerical simulations, to everybody who doesn't wish to stay apart from the new mathematical methods becoming more and more popular.
Fractional Calculus For Hydrology Soil Science And Geomechanics
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Author : Ninghu Su
language : en
Publisher: CRC Press
Release Date : 2020-11-02
Fractional Calculus For Hydrology Soil Science And Geomechanics written by Ninghu Su and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-11-02 with Science categories.
This book is an unique integrated treatise, on the concepts of fractional calculus as models with applications in hydrology, soil science and geomechanics. The models are primarily fractional partial differential equations (fPDEs), and in limited cases, fractional differential equations (fDEs). It develops and applies relevant fPDEs and fDEs mainly to water flow and solute transport in porous media and overland, and in some cases, to concurrent flow and energy transfer. It is an integrated resource with theory and applications for those interested in hydrology, hydraulics and fluid mechanics. The self-contained book summaries the fundamentals for porous media and essential mathematics with extensive references supporting the development of the model and applications.
Colloidal Active Matter
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Author : Francesc Sagués Mestre
language : en
Publisher: CRC Press
Release Date : 2022-10-07
Colloidal Active Matter written by Francesc Sagués Mestre and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2022-10-07 with Science categories.
What do bird flocks, bacterial swarms, cell tissues, and cytoskeletal fluids have in common? They are all examples of active matter. This book explores how scientists in various disciplines, from physics to biology, have collated a solid corpus of experimental designs and theories during the last two decades to decipher active systems. The book addresses, from a multidisciplinary viewpoint, the field of active matter at a colloidal scale. Concepts, experiments, and theoretical models are put side by side to fully illuminate the subtilities of active systems. A large variety of subjects, from microswimmers or driven colloids to self-organized active fluids, are analysed within a unified perspective. Generic collective effects of self-propelled or driven colloids, such as motility-induced flocking, and new paradigms, such as the celebrated concept of active nematics in reconstituted protein-based fluids, are discussed using well-known experimental scenarios and recognized theories. Topics are covered with rigor and in a self-consistent way, reaching both practitioners and newcomers to the field. The diversity of topics and conceptual challenges in active matter have long hampered the chance to explore the field with a general perspective. This monograph, the first single-authored title on active matter, is intended to fill this gap by bridging disparate experimental and theoretical interests from colloidal soft matter to cell biophysics.
Flow Dynamics
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Author : Michio Tokuyama
language : en
Publisher: American Institute of Physics
Release Date : 2006-05-25
Flow Dynamics written by Michio Tokuyama and has been published by American Institute of Physics this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-05-25 with Science categories.
This book provides up-to-date information on flow dynamics for experimental, theoretical, and computational researchers in a variety of fields, such as physics, chemistry, biology, engineering, polymer science, and computer science. The proceedings contain review articles by leading scientists as well as contributed papers by authors on the forefront of research. All manuscripts were peer-reviewed.
New Trends In The Physics And Mechanics Of Biological Systems
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Author : M. Ben Amar
language : en
Publisher:
Release Date : 2011
New Trends In The Physics And Mechanics Of Biological Systems written by M. Ben Amar and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011 with Mathematics categories.
"In July 2009, many experts in the mathematical modeling of biological sciences gathered in Les Houches for a 4-week summer school on the mechanics and physics of biological systems. The goal of the school was to present to students and researchers an integrated view of new trends and challenges in physical and mathematical aspects of biomechanics. While the scope for such a topic is very wide, they focused on problems where solid and fluid mechanics play a central role. The school covered both the general mathematical theory of mechanical biology in the context of continuum mechanics but also the specific modeling of particular systems in the biology of the cell, plants, microbes, and in physiology. These lecture notes are organized (as was the school) around five different main topics all connected by the common theme of continuum modeling for biological systems: Bio-fluidics, Bio-gels, Bio-mechanics, Bio-membranes, and Morphogenesis. These notes are not meant as a journal review of the topic but rather as a gentle tutorial introduction to the readers who want to understand the basic problematic in modeling biological systems from a mechanics perspective"--
New Trends In The Physics And Mechanics Of Biological Systems
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Author : Martine Ben Amar
language : en
Publisher: OUP Oxford
Release Date : 2011-05-26
New Trends In The Physics And Mechanics Of Biological Systems written by Martine Ben Amar and has been published by OUP Oxford this book supported file pdf, txt, epub, kindle and other format this book has been release on 2011-05-26 with Mathematics categories.
In July 2009, many experts in the mathematical modelling of biological sciences gathered in Les Houches for a 4-week summer school on the mechanics and physics of biological systems. The goal of the school was to present to students and researchers an integrated view of new trends and challenges in physical and mathematical aspects of biomechanics. While the scope for such a topic is very wide, we focused on problems where solid and fluid mechanics play a central role. The school covered both the general mathematical theory of mechanical biology in the context of continuum mechanics but also the specific modelling of particular systems in the biology of the cell, plants, microbes, and in physiology. These lecture notes are organised (as was the school) around five different main topics all connected by the common theme of continuum modelling for biological systems: Bio-fluidics, Bio-gels, Bio-mechanics, Bio-membranes, and Morphogenesis. These notes are not meant as a journal review of the topic but rather as a gentle tutorial introduction to the readers who want to understand the basic problematic in modelling biological systems from a mechanics perspective.
Proceedings Of The World Tribology Congress Iii 2005
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Author :
language : en
Publisher:
Release Date : 2005
Proceedings Of The World Tribology Congress Iii 2005 written by and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2005 with Lubrication and lubricants categories.