stochastic processes in physics and chemistry north holland personal library

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Stochastic Processes In Physics And Chemistry

Author : N.G. Van Kampen
ISBN : 0080475361
Genre : Science
File Size : 85. 75 MB
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The third edition of Van Kampen's standard work has been revised and updated. The main difference with the second edition is that the contrived application of the quantum master equation in section 6 of chapter XVII has been replaced with a satisfactory treatment of quantum fluctuations. Apart from that throughout the text corrections have been made and a number of references to later developments have been included. From the recent textbooks the following are the most relevant. C.W.Gardiner, Quantum Optics (Springer, Berlin 1991) D.T. Gillespie, Markov Processes (Academic Press, San Diego 1992) W.T. Coffey, Yu.P.Kalmykov, and J.T.Waldron, The Langevin Equation (2nd edition, World Scientific, 2004) * Comprehensive coverage of fluctuations and stochastic methods for describing them * A must for students and researchers in applied mathematics, physics and physical chemistry

Handbook Of Stochastic Methods For Physics Chemistry And The Natural Sciences

Author : Crispin W. Gardiner
ISBN : 3540208828
Genre : Mathematics
File Size : 21. 61 MB
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This valuable and highly-praised reference collects and explains, in simple language and reasonably deductive form, those formulas and methods and their applications used in modern Statistical Physics, including the foundations of Markov systems, stochastic differential equations, Fokker-Planck equations, approximation methods, chemical master equations, and quantum-mechanical Markov processes. The practical orientation and broad coverage appeal to researchers and academics working in theoretical physics, physical chemistry, and related fields. In the third edition of this classic the chapter on quantum Marcov processes has been replaced by a chapter on numerical treatment of stochastic differential equations to make the book even more valuable for practitioners. From the reviews: "Extremely well written and informative... clear, complete, and fairly rigorous treatment of a larger number of very basic concepts in stochastic theory." (Journal of Quantum Electronics) "A first class book." (Optica Acta) "Ideal for people who need a clear introduction to stochastic mathematics and their applications in physical sciencesa ] an excellent self study and reference book." ( "This well-established volume takes a supreme position [among the many books on the subject].. This extremely valuable contribution to the field of applied stochastic methods can be recommended to graduate students, researchers, and university teachers." (Optimization)

Chemical Kinetics Stochastic Processes And Irreversible Thermodynamics

Author : Moisés Santillán
ISBN : 9783319066899
Genre : Mathematics
File Size : 70. 56 MB
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This book brings theories in nonlinear dynamics, stochastic processes, irreversible thermodynamics, physical chemistry and biochemistry together in an introductory but formal and comprehensive manner. Coupled with examples, the theories are developed stepwise, starting with the simplest concepts and building upon them into a more general framework. Furthermore, each new mathematical derivation is immediately applied to one or more biological systems. The last chapters focus on applying mathematical and physical techniques to study systems such as: gene regulatory networks and molecular motors. The target audience of this book are mainly final year undergraduate and graduate students with a solid mathematical background (physicists, mathematicians and engineers), as well as with basic notions of biochemistry and cellular biology. This book can also be useful to students with a biological background who are interested in mathematical modeling and have a working knowledge of calculus, differential equations and a basic understanding of probability theory.

Stochastic Processes Multiscale Modeling And Numerical Methods For Computational Cellular Biology

Author : David Holcman
ISBN : 9783319626277
Genre : Mathematics
File Size : 84. 78 MB
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This book focuses on the modeling and mathematical analysis of stochastic dynamical systems along with their simulations. The collected chapters will review fundamental and current topics and approaches to dynamical systems in cellular biology. This text aims to develop improved mathematical and computational methods with which to study biological processes. At the scale of a single cell, stochasticity becomes important due to low copy numbers of biological molecules, such as mRNA and proteins that take part in biochemical reactions driving cellular processes. When trying to describe such biological processes, the traditional deterministic models are often inadequate, precisely because of these low copy numbers. This book presents stochastic models, which are necessary to account for small particle numbers and extrinsic noise sources. The complexity of these models depend upon whether the biochemical reactions are diffusion-limited or reaction-limited. In the former case, one needs to adopt the framework of stochastic reaction-diffusion models, while in the latter, one can describe the processes by adopting the framework of Markov jump processes and stochastic differential equations. Stochastic Processes, Multiscale Modeling, and Numerical Methods for Computational Cellular Biology will appeal to graduate students and researchers in the fields of applied mathematics, biophysics, and cellular biology.

An Introduction To Stochastic Processes In Physics

Author : Don S. Lemons
ISBN : 080186867X
Genre : Mathematics
File Size : 69. 49 MB
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"Students will love this book. It tells them without fuss how to do simple and useful numerical calculations, with just enough background to understand what they are doing... a refreshingly brief and unconvoluted work." -- American Journal of Physics

Non Equilibrium Energy Transformation Processes

Author : Viktor Holubec
ISBN : 9783319070919
Genre : Science
File Size : 73. 63 MB
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Various experimental techniques have been advanced in recent years to measure non-equilibrium energy transformations on the microscopic scale of single molecules. In general, the systems studied in the corresponding experiments are exposed to strong thermal fluctuations and thus the relevant energetic variables such as work and heat become stochastic. This thesis addresses challenging theoretical problems in this active field of current research: 1) Exact analytical solutions of work and heat distributions for isothermal non-equilibrium processes in suitable models are obtained; 2) Corresponding solutions for cyclic processes involving two different heat reservoirs are found; 3) Optimization of periodic driving protocols for such cyclic processes with respect to maximal output power, efficiency and minimal power fluctuations is studied. The exact solutions for work and heat distributions provide a reference for theoretical investigations of more complicated models, giving insight into the structure of the tail of work distributions and serving as valuable test cases for simulations of the underlying stochastic processes.

Molecular Relaxation In Liquids

Author : Biman Bagchi
ISBN : 9780199863327
Genre : Science
File Size : 66. 11 MB
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The book captures recent and exciting developments in molecular relaxation in liquids.

Nonequilibrium Statistical Mechanics

Author : Robert Zwanzig
ISBN : 9780195140187
Genre : Science
File Size : 75. 49 MB
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This is a presentation of the main ideas and methods of modern nonequilibrium statistical mechanics. It is the perfect introduction for anyone in chemistry or physics who needs an update or background in this time-dependent field. Topics covered include fluctuation-dissipation theorem; linear response theory; time correlation functions, and projection operators. Theoretical models are illustrated by real-world examples and numerous applications such as chemical reaction rates and spectral line shapes are covered. The mathematical treatments are detailed and easily understandable and the appendices include useful mathematical methods like the Laplace transforms, Gaussian random variables and phenomenological transport equations.

Stochastic Processes For Physicists

Author : Kurt Jacobs
ISBN : 9781139486798
Genre : Science
File Size : 49. 36 MB
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Stochastic processes are an essential part of numerous branches of physics, as well as in biology, chemistry, and finance. This textbook provides a solid understanding of stochastic processes and stochastic calculus in physics, without the need for measure theory. In avoiding measure theory, this textbook gives readers the tools necessary to use stochastic methods in research with a minimum of mathematical background. Coverage of the more exotic Levy processes is included, as is a concise account of numerical methods for simulating stochastic systems driven by Gaussian noise. The book concludes with a non-technical introduction to the concepts and jargon of measure-theoretic probability theory. With over 70 exercises, this textbook is an easily accessible introduction to stochastic processes and their applications, as well as methods for numerical simulation, for graduate students and researchers in physics.

Advances In Systems Biology

Author : Igor I. Goryanin
ISBN : 9781441972095
Genre : Science
File Size : 67. 62 MB
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The International Society for Systems Biology (ISSB) is a society aimed at advancing world-wide systems biology research by providing a forum for scientific discussions and various academic services. The ISSB helps coordinate researchers to form alliances for meeting the unique needs of multidisciplinary and international systems biology research. The annual International Conference on Systems Biology (ICSB) serves as the main meeting for the society and is one of the largest academic and commercial gatherings under the broad heading of ‘Systems Biology’.

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