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Author: A. Stasiak
Publisher: World Scientific
ISBN: 981279607X
Category : Crafts & Hobbies
Languages : en
Pages : 426
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Book Description
In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.
Author: A. Stasiak
Publisher: World Scientific
ISBN: 981279607X
Category : Crafts & Hobbies
Languages : en
Pages : 426
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Book Description
In this book, experts in different fields of mathematics, physics, chemistry and biology present unique forms of knots which satisfy certain preassigned criteria relevant to a given field. They discuss the shapes of knotted magnetic flux lines, the forms of knotted arrangements of bistable chemical systems, the trajectories of knotted solitons, and the shapes of knots which can be tied using the shortest piece of elastic rope with a constant diameter.
Author: Sergei K. Nechaev
Publisher: World Scientific
ISBN: 9810225199
Category : Mathematics
Languages : en
Pages : 206
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Book Description
In this book, the author announces the class of problems called ?entropy of knots? and gives an overview of modern physical applications of existing topological invariants.He constructs statistical models on knot diagrams and braids using the representations of Jones-Kauffman and Alexander invariants and puts forward the question of limit distribution of these invariants for randomly generated knots. The relation of powers of corresponding algebraic invariants to the Lyapunov exponents of the products of noncommutative matrices is described. Also the problem of conditional joint limit distributions for ?brownian bridges? on braids is discussed. Special cases of noncommutative groups PSL(2, R), PSL(2, Z) and braid groups are considered in detail.In this volume, the author also discusses the application of conformal methods for explicit construction of topological invariants for random walks on multiconnected manifolds. The construction of these topological invariants and the monodromy properties of correlation function of some conformal theories are also discussed.The author also considers the physical applications of ?knot entropy? problem in various physical systems, focussing on polymer
Author: Jorge Alberto Calvo
Publisher: World Scientific
ISBN: 9812561870
Category : Mathematics
Languages : en
Pages : 640
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Book Description
The physical properties of knotted and linked configurations in space have long been of interest to mathematicians. More recently, these properties have become significant to biologists, physicists, and engineers among others. Their depth of importance and breadth of application are now widely appreciated and valuable progress continues to be made each year.This volume presents several contributions from researchers using computers to study problems that would otherwise be intractable. While computations have long been used to analyze problems, formulate conjectures, and search for special structures in knot theory, increased computational power has made them a staple in many facets of the field. The volume also includes contributions concentrating on models researchers use to understand knotting, linking, and entanglement in physical and biological systems. Topics include properties of knot invariants, knot tabulation, studies of hyperbolic structures, knot energies, the exploration of spaces of knots, knotted umbilical cords, studies of knots in DNA and proteins, and the structure of tight knots. Together, the chapters explore four major themes: physical knot theory, knot theory in the life sciences, computational knot theory, and geometric knot theory.
Author: Thomas M. Nordlund
Publisher: CRC Press
ISBN: 1439891133
Category : Medical
Languages : en
Pages : 578
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Book Description
Quantitative Understanding of Biosystems: An Introduction to Biophysics focuses on the behavior and properties of microscopic structures that underlie living systems. It clearly describes the biological physics of macromolecules, subcellular structures, and whole cells, including interactions with light.Providing broad coverage of physics, chemistr
Author: Robert W. Ghrist
Publisher: Springer
ISBN: 354068347X
Category : Mathematics
Languages : en
Pages : 218
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Book Description
The closed orbits of three-dimensional flows form knots and links. This book develops the tools - template theory and symbolic dynamics - needed for studying knotted orbits. This theory is applied to the problems of understanding local and global bifurcations, as well as the embedding data of orbits in Morse-smale, Smale, and integrable Hamiltonian flows. The necesssary background theory is sketched; however, some familiarity with low-dimensional topology and differential equations is assumed.
Author: R. Bruinsma
Publisher: Springer Science & Business Media
ISBN: 146152458X
Category : Science
Languages : en
Pages : 241
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Book Description
A humoristic view of the physics of soft matter, which nevertheless has a ring of truth to it, is that it is an ill-defined subject which deals with ill-condensed matter by ill-defined methods. Although, since the Nobel prize was awarded to Pierre-Gilles de Gennes, this subject can be no longer shrugged-away as "sludge physics" by the physics community, it is still not viewed universally as "main stream" physics. While, at first glance, this may be considered as another example of inertia, a case of the "establishment" against the "newcomer", the roots of this prejudice are much deeper and can be traced back to Roger Bacon's conception about the objectivity of science. All of us would agree with the weaker form of this idea which simply says that the final results of our work should be phrased in an observer-independent way and be communicable to anybody who made the effort to learn this language. There exists, however, a stronger form of this idea according to which the above criteria of "objectivity" and "communicability" apply also to the process of scientific inquiry. The fact that major progress in the physics of soft matter was made in apparent violation of this approach, by applying intuition to problems which appeared to defy rigorous analysis, may explain why many physicists feel somewhat ill-at-ease with this subject.
Author: Roger Gregory
Publisher: CRC Press
ISBN: 1040286224
Category : Science
Languages : en
Pages : 594
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Book Description
This work covers advances in the interactions of proteins with their solvent environment and provides fundamental physical information useful for the application of proteins in biotechnology and industrial processes. It discusses in detail structure, dynamic and thermodynamic aspects of protein hydration, as well as proteins in aqueous and organic solvents as they relate to protein function, stability and folding.
Author: E. J. Janse Van Rensburg
Publisher: Oxford University Press (UK)
ISBN: 0199666571
Category : Mathematics
Languages : en
Pages : 641
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Book Description
This monograph examines the self-avoiding walk, a classical model in statistical mechanics, probability theory and mathematical physics, paying close attention to recent developments in the field, such as models in the hexagonal lattice and the Monte Carlo methods.
Author: Arkadii Arinstein
Publisher: CRC Press
ISBN: 9814745286
Category : Science
Languages : en
Pages : 209
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Book Description
Discussing the electrospinning process, the book covers in great depth the current research interest in nanoscience and nanotechnology, especially electrospinning of polymer nanofibers. The main distinction of the proposed book from others devoted to the electrospinning process is in the consideration of the problem in question from the physical point of view. Focusing on physical aspects, the book contains physical basics regarding the unique features of electrospun polymer nanofibers and the electrospinning resulting in fabrication of these nanofibers.
Author: David Reid
Publisher: Springer Science & Business Media
ISBN: 1461303117
Category : Technology & Engineering
Languages : en
Pages : 521
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Book Description
Water is recognized as being a critically important determinant of the properties of many foods. It is therefore appropriate to devote a meeting to the topic. The first such meeting was organized by the late Ron Duckworth, and held in 1974 at the University of Strathclyde in Scotland. As a result of this first meeting, the organization known as International Symposium on the Properties of Water (ISOPOW) was born, and since that first ISOPOW meeting there have been five international meetings. At each meeting, participants from academia and from industry have shared state of the science information pertinent to the role of water in foods. Each meeting has served as a review of the current state of knowledge. ISOPOW 6 is the first of these meetings where Ron Duckworth's presence has not been felt, though he clearly attended the meeting in spirit. A lively group of academics and industrial scientists assembled in Santa Rosa, California, to discuss the current state of the science. As meeting chairperson, I must acknowledge the tremendous contributions made by the organizing committee, by the session chairpersons and by the central committee. Without all their help, nothing could have been achieved. Most important to the success of the meeting, however, was the very active participation of all attendees. In all seven sessions, the papers were excellent and their discussion was very spirited.
