The Statistical Mechanics of Interacting Walks, Polygons, Animals and Vesicles PDF Download
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Author: E. J. Janse van Rensburg
Publisher: OUP Oxford
ISBN: 0191644668
Category : Mathematics
Languages : en
Pages : 641
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Book Description
The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model. This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
Author: E. J. Janse van Rensburg
Publisher: OUP Oxford
ISBN: 0191644668
Category : Mathematics
Languages : en
Pages : 641
Get Book Here
Book Description
The self-avoiding walk is a classical model in statistical mechanics, probability theory and mathematical physics. It is also a simple model of polymer entropy which is useful in modelling phase behaviour in polymers. This monograph provides an authoritative examination of interacting self-avoiding walks, presenting aspects of the thermodynamic limit, phase behaviour, scaling and critical exponents for lattice polygons, lattice animals and surfaces. It also includes a comprehensive account of constructive methods in models of adsorbing, collapsing, and pulled walks, animals and networks, and for models of walks in confined geometries. Additional topics include scaling, knotting in lattice polygons, generating function methods for directed models of walks and polygons, and an introduction to the Edwards model. This essential second edition includes recent breakthroughs in the field, as well as maintaining the older but still relevant topics. New chapters include an expanded presentation of directed models, an exploration of methods and results for the hexagonal lattice, and a chapter devoted to the Monte Carlo methods.
Author: John R Parks
Publisher: Springer Science & Business Media
ISBN: 3642683304
Category : Technology & Engineering
Languages : en
Pages : 338
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Book Description
Geoffrey R. Dolby, PhD One of the principal characteristics of a scientific theory is that it be falsifiable. It must contain predictions about the real world which can be put to experimental test. Another very important characteristic of a good theory is that it should take full cognisance of the literature of the discipline in which it is embedded, and that it should be able to explain, at least as well as its competitors, those experimental results which workers in the discipline accept without dispute. Readers of John Parks' book will be left in no doubt that his theory of the feeding and growth of animals meets both of the above criteria. The author's knowledge of the literature of animal science and the seriousness of his attempt to incorporate the results of much previous work into the framework of the present theory result in a rich and imaginative integration of diverse material concerned with the growth and feeding of animals through time, a theory which is made more precise through the judicious use of mathematics. The presentation is such that the key concepts are introduced gradually and readers not accustomed to a mathematical treatment will find that they can appreciate the ideas without undue trauma. The key concepts are clearly illustrated by means of a generous set of figures. The crux of the theory comprises three differential Eqs. (7. 1-7.
Author: A. J. Guttmann
Publisher: Springer
ISBN: 1402099274
Category : Science
Languages : en
Pages : 500
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Book Description
The problem of counting the number of self-avoiding polygons on a square grid, - therbytheirperimeterortheirenclosedarea,is aproblemthatis soeasytostate that, at ?rst sight, it seems surprising that it hasn’t been solved. It is however perhaps the simplest member of a large class of such problems that have resisted all attempts at their exact solution. These are all problems that are easy to state and look as if they should be solvable. They include percolation, in its various forms, the Ising model of ferromagnetism, polyomino enumeration, Potts models and many others. These models are of intrinsic interest to mathematicians and mathematical physicists, but can also be applied to many other areas, including economics, the social sciences, the biological sciences and even to traf?c models. It is the widespread applicab- ity of these models to interesting phenomena that makes them so deserving of our attention. Here however we restrict our attention to the mathematical aspects. Here we are concerned with collecting together most of what is known about polygons, and the closely related problems of polyominoes. We describe what is known, taking care to distinguish between what has been proved, and what is c- tainlytrue,but has notbeenproved. Theearlierchaptersfocusonwhatis knownand on why the problems have not been solved, culminating in a proof of unsolvability, in a certain sense. The next chapters describe a range of numerical and theoretical methods and tools for extracting as much information about the problem as possible, in some cases permittingexactconjecturesto be made.
Author: R. McNeill Alexander
Publisher: Princeton University Press
ISBN: 1400849519
Category : Science
Languages : en
Pages : 385
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Book Description
How can geckoes walk on the ceiling and basilisk lizards run over water? What are the aerodynamic effects that enable small insects to fly? What are the relative merits of squids' jet-propelled swimming and fishes' tail-powered swimming? Why do horses change gait as they increase speed? What determines our own vertical leap? Recent technical advances have greatly increased researchers' ability to answer these questions with certainty and in detail. This text provides an up-to-date overview of how animals run, walk, jump, crawl, swim, soar, hover, and fly. Excluding only the tiny creatures that use cilia, it covers all animals that power their movements with muscle--from roundworms to whales, clams to elephants, and gnats to albatrosses. The introduction sets out the general rules governing all modes of animal locomotion and considers the performance criteria--such as speed, endurance, and economy--that have shaped their selection. It introduces energetics and optimality as basic principles. The text then tackles each of the major modes by which animals move on land, in water, and through air. It explains the mechanisms involved and the physical and biological forces shaping those mechanisms, paying particular attention to energy costs. Focusing on general principles but extensively discussing a wide variety of individual cases, this is a superb synthesis of current knowledge about animal locomotion. It will be enormously useful to advanced undergraduates, graduate students, and a range of professional biologists, physicists, and engineers.
Author: Luigi Boitani
Publisher: Columbia University Press
ISBN: 0231113412
Category : Nature
Languages : en
Pages : 477
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Book Description
This book provides an analysis of frequently used research techniques in animal ecology, identifying their limitations and misuses, as well as possible solutions to avoid such pitfalls. The contributors provide an overarching account of central theoretical and methodological controversies. The editors have forged comprehensive presentations of key topics in animal ecology, such as territory and home range estimates, habitation evaluation, population viability analysis, GIS mapping, and measuring the dynamics of societies.
Author:
Publisher:
ISBN:
Category :
Languages : en
Pages : 338
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Book Description
Author: Andy Dousis
Publisher: Center for Responsive Schools, Inc.
ISBN: 1892989379
Category : Education
Languages : en
Pages : 257
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Book Description
Bring joy and energy to math learning without adding to your already-packed schedule! Here are 150 fun and engaging math activities suitable for kindergartners to 5th graders, with math-themed ideas for all four Morning Meeting components: greeting, group activity, sharing, and morning message. Use these games, songs, chants, hands-on experiments, and more to inspire students' interest in math and help them practice skills. Each activity includes easy how-to steps; relevant NCTM content and process standards; specific math skills addressed; materials needed (all require few or no materials); tips on preparing students for success; math vocabulary to emphasize; and variations and extensions.
Author: Khadg Singh Valdiya
Publisher: Orient Blackswan
ISBN: 9788125027355
Category : Technology & Engineering
Languages : en
Pages : 318
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Book Description
This book is a collection of twenty one papers presented during the symposium on Coping with Natural Hazards at University of Pune on 5 and 6 October 2001. This very successful symposium, organised by the National Academy of Sciences, outlined the strategies our country should adopt to be prepared to face hazards like earthquakes, floods, landslides, avalanches, cyclones, droughts and desertification. It contains papers by pre-eminent scientists and leading lights like Professors M G K Menon, P K Das, D R Sikka and R K Bhandari and many others. Each paper has been critically reviewed by atleast two experts in their respective fields.
Author: Lawrence A. Kapustka
Publisher: John Wiley & Sons
ISBN: 0470593016
Category : Technology & Engineering
Languages : en
Pages : 431
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Book Description
An important guide to assessing and managing the environment from a landscape perspective Ecological relationships are nested within the landscape. Identifying the relevant spatial and temporal scales is critical for an effective understanding of ecological functions that human societies depend upon. Moreover, human encroachment into natural areas, or changes in climate, can alter spatial relationships, which in turn can negatively affect vital plant and wildlife patterns—and weaken economic structures needed to sustain human societies. This book is the first to combine multiple disciplines into one cohesive strategy to study these crucial connections, and looks toward building a social paradigm that embraces the dynamics of ecological systems. This book: Integrates landscape ecology, environmental risk assessment, valuation of ecological goods and services, and environmental management decision processes into one single source Includes chapters on quantitative measures, Bayesian modeling,¿economic analysis, and sustainable landscapes Covers marine, forest, agricultural, and pharmaceutical risk assessment Has a chapter on predicting climate change risk to ecosystems Has a companion ftp site with color graphics, animations, and risk assessment tools With material that is accessible across all knowledge levels, Environmental Risk Assessment and Management from a Landscape Perspective moves beyond looking solely at chemical contaminants to diagnose environmental threats, and aims to accomplish practical risk assessment in a manner that supports long-term sustainable management.
Author: Jennifer L. Horwath Burnham
Publisher: Geological Society of America
ISBN: 0813724902
Category : Science
Languages : en
Pages : 216
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Book Description
Papers mostly from Geological Society of America Annual Meetings and field trips held in Houston, Texas, October 4-9, 2008.
