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1 Kulasiri, Don Stochastic Differential Equations for Chemical Transformations in White Noise Probability Space I13295 2024 eBook  
2 Campisi, Michele Lectures on the Mechanical Foundations of Thermodynamics I13288 2024 eBook  
3 Vacchini, Bassano Open Quantum Systems I13274 2024 eBook  
4 Dreizler, Reiner M Electrostatics and Magnetostatics I13272 2024 eBook  
5 Grebenkov, Denis Target Search Problems I13265 2024 eBook  
6 Qin, Yuming Prandtl Equations and Related Boundary Layer Equations I13249 2024 eBook  
7 Bambi, Cosimo Handbook of Quantum Gravity I13242 2024 eBook  
8 Ono, Seishiro Topology of Superconductors I13240 2024 eBook  
9 Wang, Yiqian Proceedings of the Vortex Workshop I13223 2024 eBook  
10 Ba??kal, Sibel Theory and Applications of the Poincar?? Group I13220 2024 eBook  
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TitleStochastic Differential Equations for Chemical Transformations in White Noise Probability Space : Wick Products and Computations
Author(s)Kulasiri, Don
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionXVI, 155 p. 43 illus., 41 illus. in color : online resource
Abstract NoteThis book highlights the applications of stochastic differential equations in white noise probability space to chemical reactions that occur in biology. These reactions operate in fluctuating environments and are often coupled with each other. The theory of stochastic differential equations based on white noise analysis provides a physically meaningful modelling framework. The Wick product-based calculus for stochastic variables is similar to regular calculus; therefore, there is no need for Ito calculus. Numerical examples are provided with novel ways to solve the equations. While the theory of white noise analysis is well developed by mathematicians over the past decades, applications in biophysics do not exist. This book provides a bridge between this kind of mathematics and biophysics
ISBN,Price9789819793921
Keyword(s)1. BIOINFORMATICS 2. BIOMATHEMATICS 3. Computational and Systems Biology 4. Computational Physics and Simulations 5. COMPUTER SIMULATION 6. DIFFERENTIAL EQUATIONS 7. EBOOK 8. EBOOK - SPRINGER 9. Mathematical and Computational Biology 10. MATHEMATICAL PHYSICS
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TitleLectures on the Mechanical Foundations of Thermodynamics
Author(s)Campisi, Michele
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXV, 114 p. 22 illus., 17 illus. in color : online resource
Abstract NoteThis book provides a modern pedagogical exposition of the mechanical approach to statistical mechanics initiated by Boltzmann with his early works (1866???1871). Despite the later contribution by Helmholtz, Boltzmann himself (1884???1887), Gibbs, P. Hertz, and Einstein, the mechanical approach remained almost unknown to the modern reader, in favour of the celebrated combinatorial approach, developed by Boltzmann himself during his probabilistic turn (1876???1884). The brief constitutes an ideal continuation of a graduate course of classical mechanics and requires knowledge of basic calculus in many dimensions (including differential forms), thermodynamics, and probability theory, besides Hamiltonian mechanics. The cornerstone of the whole presentation is the ergodic hypothesis. Special attention is devoted to Massieu potentials (the Legendre transforms of the entropy) which are most natural in statistical mechanics and also allow for a more direct treatment of the topic of ensemble equivalence. In this second edition, a chapter is added that addresses the long-debated question of how the second law of thermodynamics can be reconciled with mechanics, by taking advantage of modern methods of non-equilibrium statistical mechanics
ISBN,Price9783031570452
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. Mathematical Methods in Physics 4. MATHEMATICAL PHYSICS 5. STATISTICAL PHYSICS 6. THERMODYNAMICS
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TitleOpen Quantum Systems : Foundations and Theory
Author(s)Vacchini, Bassano
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXXIV, 420 p. 53 illus., 48 illus. in color : online resource
Abstract NoteThe proposed book is a bridge between the foundations of quantum mechanics and the theory of open quantum systems. The treatment of open quantum systems is a rapidly growing subject, of interest to an ever-increasing number of scientists. The main focus is on overcoming the idealization of perfect isolation of a quantum system, so as to allow for a more realistic treatment and to provide the relevant background for the development of quantum technologies. The book is addressed to students and researchers in the field of open quantum systems and more generally quantum mechanics, a wide community of physicists, mathematicians, and chemists. It is devised both to enter the field and to prepare a series of lectures or a one-semester course on the topic
ISBN,Price9783031582189
Keyword(s)1. Computational Physics and Simulations 2. COMPUTER SIMULATION 3. EBOOK 4. EBOOK - SPRINGER 5. Mathematical Methods in Physics 6. MATHEMATICAL PHYSICS 7. QUANTUM PHYSICS
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TitleElectrostatics and Magnetostatics
Author(s)Dreizler, Reiner M;L??dde, Cora S
PublicationBerlin, Heidelberg, 1. Imprint: Springer 2. Springer Berlin Heidelberg, 2024.
DescriptionXI, 360 p. 168 illus., 2 illus. in color : online resource
Abstract NoteThis textbook offers you a profound understanding of the core concepts in electrostatics and magnetostatics. Emphasis is placed on establishing strong mathematical fundamentals while also equipping you with problem-solving skills crucial for mastering these disciplines. It covers basic equations of electrostatics and solution of the Poisson equation as well as Magnetostatics. Reiner M. Dreizler, Professor emeritus of Theoretical Physics at Goethe University, Frankfurt/Main, works on many-body systems in quantum mechanics. Cora S. L??dde, Diplom-physicist, research associate at Goethe University, Frankfurt/Main, Germany, working on application-oriented programming, researches computer arithmetic
ISBN,Price9783662699331
Keyword(s)1. Classical and Quantum Gravity 2. CLASSICAL ELECTRODYNAMICS 3. EBOOK 4. EBOOK - SPRINGER 5. ELECTRODYNAMICS 6. GRAVITATION 7. MATHEMATICAL PHYSICS 8. Theoretical, Mathematical and Computational Physics
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TitleTarget Search Problems
Author(s)Grebenkov, Denis;Metzler, Ralf;Oshanin, Gleb
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionIX, 750 p. 150 illus., 135 illus. in color : online resource
Abstract NoteThis book presents cutting-edge research addressing the mathematical models used to tackle various target search problems manifested in a wide range of disciplines. Leading international experts from around the world describe a variety of different approaches to this truly multidisciplinary topic. Recent years have witnessed a substantial and still growing interest in understanding general target problems. This encompasses a wide range of different situations in which some "agents" perform a deterministic or stochastic motion to search for a certain immobile or mobile "target". Such problems arise in many disciplines: to name but a few, computer science, the evolution of stock markets, biochemistry, bio-medicine, evolutionary games, as well as diverse areas of physics. This book with its up-to-date collection of chapters authored by leading experts in these and other fields, provides a comprehensive and complete picture in broadly accessible language. The book will naturally serve as a source of inspiration for further research, as well as facilitating a cross-fertilization of approaches, ideas, and research directions
ISBN,Price9783031678028
Keyword(s)1. BIOPHYSICS 2. COMPLEX SYSTEMS 3. EBOOK 4. EBOOK - SPRINGER 5. MATHEMATICAL PHYSICS 6. STATISTICAL PHYSICS 7. SYSTEM THEORY 8. Theoretical, Mathematical and Computational Physics 9. THERMODYNAMICS
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TitlePrandtl Equations and Related Boundary Layer Equations
Author(s)Qin, Yuming;Dong, Xiaolei;Wang, Xiuqing
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionX, 373 p : online resource
Abstract NoteThis book aims to present some recent results on Prandtl equations and MHD boundary layer equations. This book is essentially divided into two parts. Chapter 1 as the first part systematically surveys the results till 2020 on Prandtl equations and MHD boundary layer equations. Chapter 2 to 6 are the main part of the book, which presents the local and the global well-posedness of solutions to the Prandtl equations and MHD boundary layer equations. In detail, Chapter 2 is concerned with global well-posedness of solutions to the 2D Prandtl-Hartmann equations in an analytic framework. Chapter 3 investigates the local existence of solutions to the 2D Prandtl equations in a weighted Sobolev space. Chapter 4 studies the local well-posedness of solutions to the 2D mixed Prandtl equations in a Sobolev space without monotonicity and lower bound. Chapter 5 is concerned with global existence of solutions to the 2D magnetic Prandtl equations in the Prandtl-Hartmann regime. Chapter 6 proves the local existence of solutions to the 3D Prandtl equations with a special structure. Mathematicians and physicists who are interested in fluid dynamics will find this book helpful
ISBN,Price9789819745654
Keyword(s)1. DIFFERENTIAL EQUATIONS 2. EBOOK 3. EBOOK - SPRINGER 4. FLUIDS 5. INTEGRAL EQUATIONS 6. Mathematical Methods in Physics 7. MATHEMATICAL PHYSICS 8. Soft condensed matter
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TitleHandbook of Quantum Gravity
Author(s)Bambi, Cosimo;Modesto, Leonardo;Shapiro, Ilya
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
Description472 illus., 315 illus. in color. eReference : online resource
Abstract NoteThe search for a theory of quantum gravity is one of the most important and fascinating problems in modern theoretical physics. While we do not have yet a complete theory of quantum gravity, significant advancements have been done in the past decades. In this handbook, every section is dedicated to a specific approach towards a theory of quantum gravity and is edited by the leading experts in the field. This book represents both a valuable resource for graduate students and an important reference for researchers in quantum gravity
ISBN,Price9789819976812
Keyword(s)1. Classical and Quantum Gravity 2. EBOOK 3. EBOOK - SPRINGER 4. Elementary particles (Physics) 5. Elementary Particles, Quantum Field Theory 6. GRAVITATION 7. MATHEMATICAL PHYSICS 8. QUANTUM FIELD THEORY
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TitleTopology of Superconductors : Theory of Symmetry Indicators, Classifications of Superconducting Nodes, and High-Throughput Investigations
Author(s)Ono, Seishiro
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionXIII, 126 p. 30 illus., 29 illus. in color : online resource
Abstract NoteThis book develops a symmetry-based approach to superconductors, which enables us to efficiently diagnose topological and nodal superconductivity. Superconductivity has fascinated physicists since its first discovery. In particular, unconventional superconductivity, which arises from unusual attractive interactions between electrons, has been intensively studied for the last few decades. More recently, it turns out that topological nature of superconductivity is closely related to how electrons pair up. After reviewing the basic concepts of the symmetry-based analysis of band topology, the first part of this book discusses a generalization of symmetry-based indicators???an efficient way to diagnose topological insulating phases without full information on wave functions???to superconducting phases. The second part of this book develops a novel scheme to extensively classify superconducting nodes???geometry of gapless regions in the Bogoliubov quasiparticle spectrum???based on band topology.Finally, combining these two parts, this book proposes a systematic scheme to predict topological and nodal properties of the superconducting phase by considering various possible pairing symmetries
ISBN,Price9789819773992
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. MATHEMATICAL PHYSICS 4. Quantum Fluids and Solids 5. QUANTUM STATISTICS 6. SUPERCONDUCTIVITY 7. SUPERCONDUCTORS 8. Theoretical, Mathematical and Computational Physics 9. Topological insulators 10. Topological Material
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TitleProceedings of the Vortex Workshop : VW2023, December 11-13, San Diego, USA
Author(s)Wang, Yiqian;Liu, Chaoqun;Li, Yan
PublicationSingapore, 1. Imprint: Springer 2. Springer Nature Singapore, 2024.
DescriptionXXI, 246 p. 175 illus., 150 illus. in color : online resource
Abstract NoteWritten by the leading experts in the field, this book results from Vortex Workshop 2023 which took place in San Diego, the USA, on December 11???13. Vortex is ubiquitous in the universe such as tornado, hurricane, airplane tip vortex, and even star vortex in Galaxy. Vortices are also building blocks, muscles, and sinews of turbulent flows. A vortex is intuitively recognized as a rotational/swirling motion of fluids but until recently had no rigidly mathematical definition. In 1858, Helmholtz first defined vortex as composed of so-called vortex filaments, which are infinitesimal vorticity tubes, which is called as the first generation of vortex definition and identification, or G1. Although G1 has been accepted by the fluid dynamics community and almost all textbooks for over a century, we can find many immediate counterexamples, for example, in the laminar boundary layer, where the vorticity (shear) is very large near the wall, but not rotation (no vortex) exists. To solve these contradictions, many vortex criteria methods have been developed during the past 4 decades. More popular methods are represented by the Q, ???, criteria methods. These methods have achieved part of success in vortex identification, which are called the second generation of vortex identification or G2. However, G2 has several critical drawbacks. First, they are all scalars which have no rotation axis directions, but vortex is a vector. It is hard or impossible to use a scalar to represent a vector. Second, like vorticity, these criteria methods are all contaminated by shear in different degrees. Third, they are all very sensitive on threshold selections. The recently developed Liutex is called the third generation of vortex definition and identification, or G3, which is a uniquely defined vector
ISBN,Price9789819786084
Keyword(s)1. Aerospace engineering 2. Aerospace Technology and Astronautics 3. ASTRONAUTICS 4. CONTINUUM MECHANICS 5. EBOOK 6. EBOOK - SPRINGER 7. Engineering Fluid Dynamics 8. FLUID MECHANICS 9. FLUIDS 10. MATHEMATICAL PHYSICS 11. Soft condensed matter
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10.    
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TitleTheory and Applications of the Poincar?? Group
Author(s)Ba??kal, Sibel;Kim, Young Suh;Noz, Marilyn E
PublicationCham, 1. Imprint: Springer 2. Springer Nature Switzerland, 2024.
DescriptionXVIII, 486 p. 52 illus., 40 illus. in color : online resource
Abstract NoteThis book is intended mainly as a teaching tool directed toward those who desire a deeper understanding of group theory in terms of examples applicable to the physical world and/or of the physical world in terms of the symmetry properties which can best be formulated in terms of group theory. Both advanced students and scholars interested in the relationship between group theory and physics will find it instructive. In particular, those engaged in high-energy physics and foundations of quantum mechanics will find this book rich in illustrative examples of relativistic quantum mechanics. This new edition contains four new chapters, two of which are consistent with Dirac's aim to combine the important developments in physics in the twentieth century, namely quantum mechanics and special relativity. Moreover, these new chapters also discuss various aspects of classical and quantum optics that are now understood to be interrelated. Most of the original chapters have been updated, either with new material added or in some instances reinterpretation of the original. The order of the chapters has been rearranged to create a more cohesive presentation. The original purpose of the first edition, namely to present examples to which physics students and researchers can relate, has not been altered
ISBN,Price9783031643767
Keyword(s)1. EBOOK 2. EBOOK - SPRINGER 3. GROUP THEORY 4. Group Theory and Generalizations 5. MATHEMATICAL PHYSICS 6. Theoretical, Mathematical and Computational Physics
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