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A Kinetic View Of Statistical Physics

Author: Pavel L. Krapivsky
Publisher: Cambridge University Press
ISBN: 1139493345
Size: 64.54 MB
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Aimed at graduate students, this book explores some of the core phenomena in non-equilibrium statistical physics. It focuses on the development and application of theoretical methods to help students develop their problem-solving skills. The book begins with microscopic transport processes: diffusion, collision-driven phenomena, and exclusion. It then presents the kinetics of aggregation, fragmentation and adsorption, where the basic phenomenology and solution techniques are emphasized. The following chapters cover kinetic spin systems, both from a discrete and a continuum perspective, the role of disorder in non-equilibrium processes, hysteresis from the non-equilibrium perspective, the kinetics of chemical reactions, and the properties of complex networks. The book contains 200 exercises to test students' understanding of the subject. A link to a website hosted by the authors, containing supplementary material including solutions to some of the exercises, can be found at www.cambridge.org/9780521851039.

Statistische Mechanik

Author: Franz Schwabl
Publisher: Springer-Verlag
ISBN: 3540310975
Size: 31.28 MB
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"Das Buch eignet sich ausgezeichnet als Grundlage oder Ergänzungslektüre für eine theoretische Vorlesung ab dem 5. Semester. Es deckt praktisch alle ... üblichen Inhalte ab, geht aber teilweise auch wesentlich darüber hinaus ... Zusammenfassend kann dieses Buch sowohl als Begleittext zu einer Vorlesung wie auch als Nachschlagewerk wärmstens empfohlen werden." (Physikalische Blätter) "... Die Fülle des behandelten Stoffes ist beeindruckend ... kann Studenten der ... Chemie, ... Physik und verwandter Disziplinen nachdrücklich empfohlen werden. Aber auch als Lehr- und Nachschlagewerk ist es geeignet." (Zeitschrift für Physikalische Chemie)

A Guide To First Passage Processes

Author: Sidney Redner
Publisher: Cambridge University Press
ISBN: 0521652480
Size: 76.61 MB
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The basic theory presented in a way which emphasizes intuition, problem-solving and the connections with other fields.

The Structure And Dynamics Of Cities

Author: Marc Barthelemy
Publisher: Cambridge University Press
ISBN: 131679721X
Size: 35.78 MB
Format: PDF
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With over half of the world's population now living in urban areas, the ability to model and understand the structure and dynamics of cities is becoming increasingly valuable. Combining new data with tools and concepts from statistical physics and urban economics, this book presents a modern and interdisciplinary perspective on cities and urban systems. Both empirical observations and theoretical approaches are critically reviewed, with particular emphasis placed on derivations of classical models and results, along with analysis of their limits and validity. Key aspects of cities are thoroughly analyzed, including mobility patterns, the impact of multimodality, the coupling between different transportation modes, the evolution of infrastructure networks, spatial and social organisation, and interactions between cities. Drawing upon knowledge and methods from areas of mathematics, physics, economics and geography, the resulting quantitative description of cities will be of interest to all those studying and researching how to model these complex systems.

Critical Dynamics

Author: Uwe C. Täuber
Publisher: Cambridge University Press
ISBN: 1139867202
Size: 53.76 MB
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Introducing a unified framework for describing and understanding complex interacting systems common in physics, chemistry, biology, ecology, and the social sciences, this comprehensive overview of dynamic critical phenomena covers the description of systems at thermal equilibrium, quantum systems, and non-equilibrium systems. Powerful mathematical techniques for dealing with complex dynamic systems are carefully introduced, including field-theoretic tools and the perturbative dynamical renormalization group approach, rapidly building up a mathematical toolbox of relevant skills. Heuristic and qualitative arguments outlining the essential theory behind each type of system are introduced at the start of each chapter, alongside real-world numerical and experimental data, firmly linking new mathematical techniques to their practical applications. Each chapter is supported by carefully tailored problems for solution, and comprehensive suggestions for further reading, making this an excellent introduction to critical dynamics for graduate students and researchers across many disciplines within physical and life sciences.

Statistical Physics Of Biomolecules

Author: Daniel M. Zuckerman
Publisher: CRC Press
ISBN: 1420073796
Size: 12.36 MB
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From the hydrophobic effect to protein-ligand binding, statistical physics is relevant in almost all areas of molecular biophysics and biochemistry, making it essential for modern students of molecular behavior. But traditional presentations of this material are often difficult to penetrate. Statistical Physics of Biomolecules: An Introduction brings "down to earth" some of the most intimidating but important theories of molecular biophysics. With an accessible writing style, the book unifies statistical, dynamic, and thermodynamic descriptions of molecular behavior using probability ideas as a common basis. Numerous examples illustrate how the twin perspectives of dynamics and equilibrium deepen our understanding of essential ideas such as entropy, free energy, and the meaning of rate constants. The author builds on the general principles with specific discussions of water, binding phenomena, and protein conformational changes/folding. The same probabilistic framework used in the introductory chapters is also applied to non-equilibrium phenomena and to computations in later chapters. The book emphasizes basic concepts rather than cataloguing a broad range of phenomena. Focuses on what students need to know now Students build a foundational understanding by initially focusing on probability theory, low-dimensional models, and the simplest molecular systems. The basics are then directly developed for biophysical phenomena, such as water behavior, protein binding, and conformational changes. The book’s accessible development of equilibrium and dynamical statistical physics makes this a valuable text for students with limited physics and chemistry backgrounds.

Statistical Physics

Author: A. Isihara
Publisher: Academic Press
ISBN: 1483274101
Size: 75.21 MB
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Statistical Physics provides an introduction to the basic principles of statistical mechanics. Statistical mechanics is one of the fundamental branches of theoretical physics and chemistry, and deals with many systems such as gases, liquids, solids, and even molecules which have many atoms. The book consists of three parts. Part I gives the principles, with elementary applications to noninteracting systems. It begins with kinetic theory and discusses classical and quantum systems in equilibrium and nonequilibrium. In Part II, classical statistical mechanics is developed for interacting systems in equilibrium and nonequilibrium. Finally, in Part III, quantum statistics is presented to an extent which enables the reader to proceed to advanced many-body theories. This book is written for a one-year graduate course in statistical mechanics or a half-year course followed by a half-year course on related subjects, such as special topics and applications or elementary many-body theories. Efforts are made such that discussions of each subject start with an elementary level and end at an advanced level.