modeling thermodynamic distance curvature and fluctuations a geometric approach understanding complex systems

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Modeling Thermodynamic Distance Curvature And Fluctuations

Author : Viorel Badescu
ISBN : 9783319337890
Genre : Technology & Engineering
File Size : 35. 39 MB
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This textbook aims to briefly outline the main directions in which the geometrization of thermodynamics has been developed in the last decades. The textbook is accessible to people trained in thermal sciences but not necessarily with solid formation in mathematics. For this, in the first chapters a summary of the main mathematical concepts is made. In some sense, this makes the textbook self-consistent. The rest of the textbook consists of a collection of results previously obtained in this young branch of thermodynamics. The manner of presentation used throughout the textbook is adapted for ease of access of readers with education in natural and technical sciences.

Perspectives And Challenges In Statistical Physics And Complex Systems For The Next Decade

Author : Gandhimohan M Viswanathan
ISBN : 9789814590150
Genre : Science
File Size : 34. 70 MB
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Statistical Physics (SP) has followed an unusual evolutionary path in science. Originally aiming to provide a fundamental basis for another important branch of Physics, namely Thermodynamics, SP gradually became an independent field of research in its own right. But despite more than a century of steady progress, there are still plenty of challenges and open questions in the SP realm. In fact, the area is still rapidly evolving, in contrast to other branches of science, which already have well defined scopes and borderlines of applicability. This difference is due to the steadily expanding number of applications, as well as ongoing improvements and revisions of concepts and methods in SP. Such particular aspects of SP lend further significance and timeliness to this book about perspectives and trends within the field. Here, the aim is to present the state-of-the-art vision of expert researchers who study SP and Complex Systems. Although a comprehensive treatment is well beyond what can be treated in a single volume, the book provides a snapshot of the field today, as well as a glimpse of where the field may be heading during the next decade. The book is aimed at graduate and advanced undergraduate physics students, as well as researchers who work with SP, Complex Systems, Computational Physics, Biological Physics and related topics. It addresses questions such as: What insights can be gained from recent advances in the study of traditional problems in SP? How can SP help us understand problems that arise in the biological sciences and in the study of complex systems? How can new problems be formulated using the ‘language’ of SP? In this way, it attempts to document partial progress in answering these and related questions. The book also commemorates the occasion of the 70th anniversary in 2011 of two important physicists and friends who dedicated their lives to the understanding of nature in general and to the development of Statistical Physics and the science of Complexity in particular: Liacir Lucena and H Eugene Stanley. Contents:Further Advances in the Analysis of Traditional Problems in Statistical Physics:Comparing Methods and Monte Carlo Algorithms at Phase Transition Regimes: A General Overview (C E Fiore)Density of States of the Ising Model in the Field (B D Stošić)A Renormalization Group Study of the Three-Color Ashkin-Teller Model on a Wheatstone Hierarchical Lattice (R Teodoro, C G Bezerra, A M Mariz, F A da Costa and J M de Araújo)Applying Virial Theorem in Continuous Potential of Two Scales (N M Barraz Jr and M C Barbosa)Elementary Statistical Models for Nematic Transitions in Liquid-Crystalline Systems (D B Liarte & S R Salinas)Phase Diagram and Layer-Thinning Transitions in Free-Standing Liquid Crystal Films (M S S Pereira, I N de Oliveira and M L Lyra)On Some Experimental Reasons for an Inhomogeneous Structure of Ambient Water on the Nanometer Length Scale (F Mallamace, C Corsaro and C Vasi)Polyamorphism and Polymorphism of a Confined Water Monolayer: Liquid-Liquid Critical Point, Liquid-Crystal and Crystal-Crystal Phase Transitions (V Bianco, O Vilanova and G Franzese)New Insights into Traditional Problems in Statistical Physics:Topological and Geometrical Aspects of Phase Transitions (F A N Santos, J A Rehn and M D Coutinho-Filho)Pacman Percolation and the Glass Transition (R Pastore, M P Ciamarra and A Coniglio)Exact Solution for a Diffusive Process on a Backbone Structure: Green Function Approach and External Force (E K Lenzi, L R da Silva, A A Tateishi, M K Lenzi and H V Ribeiro)Multifractal Surfaces: Lucena and Stanley Approaches (G Corso and D A Moreira)Applications to Biological Problems:Nanoelectronics of a DNA Molecule (E L Albuquerque, U L Fulco, E W S Caetano, V N Freire, M L Lyra and F A B F Moura)Magic Trees in Mammalians Respiration or When Evolution Selected Clever Physical Systems (B Sapoval and M Filoche)Social Distancing Strategies Against Disease Spreading (L D Valdez, C Buono, P A Macri and L A Braunstein)Non-Traditional Problems Related to Complex Systems:Thermodynamics and Kinetic Theory of Granular Materials (G M Kremer)Continuous and First-Order Jamming Transition in Crossing Pedestrian Traffic Flows (H J Hilhorst, J Cividini and C Appert-Rolland)Multiplicative Processes in Visual Cognition (H F Credidio, E N Teixeira, S D S Reis, A A Moreira and J S Andrade Jr)Search Strategy: Hedging Your Bet (M F Shlesinger) Readership: Advanced undergraduates, graduate students, researchers, academics and professionals in statistical physics, complex systems and nonlinear science. Key Features:This is the only book which brings together topics as diverse as water, random searches, percolation, and trafficNo similar titles with such diversity of themes available in the marketMost of the contributors are already well known in their fieldsKeywords:Statistical Physics;Complex Systems

Statistical Mechanics

Author : James Sethna
ISBN : 9780191566219
Genre : Science
File Size : 89. 96 MB
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A Guide To Monte Carlo Simulations In Statistical Physics

Author : David P. Landau
ISBN : 9781316062630
Genre : Science
File Size : 22. 24 MB
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Dealing with all aspects of Monte Carlo simulation of complex physical systems encountered in condensed-matter physics and statistical mechanics, this book provides an introduction to computer simulations in physics. This fourth edition contains extensive new material describing numerous powerful algorithms not covered in previous editions, in some cases representing new developments that have only recently appeared. Older methodologies whose impact was previously unclear or unappreciated are also introduced, in addition to many small revisions that bring the text and cited literature up to date. This edition also introduces the use of petascale computing facilities in the Monte Carlo arena. Throughout the book there are many applications, examples, recipes, case studies, and exercises to help the reader understand the material. It is ideal for graduate students and researchers, both in academia and industry, who want to learn techniques that have become a third tool of physical science, complementing experiment and analytical theory.

Intermolecular And Surface Forces

Author : Jacob N. Israelachvili
ISBN : 0080923631
Genre : Science
File Size : 56. 99 MB
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This reference describes the role of various intermolecular and interparticle forces in determining the properties of simple systems such as gases, liquids and solids, with a special focus on more complex colloidal, polymeric and biological systems. The book provides a thorough foundation in theories and concepts of intermolecular forces, allowing researchers and students to recognize which forces are important in any particular system, as well as how to control these forces. This third edition is expanded into three sections and contains five new chapters over the previous edition. · starts from the basics and builds up to more complex systems · covers all aspects of intermolecular and interparticle forces both at the fundamental and applied levels · multidisciplinary approach: bringing together and unifying phenomena from different fields · This new edition has an expanded Part III and new chapters on non-equilibrium (dynamic) interactions, and tribology (friction forces)

Mechanics And Electrodynamics

Author : L D Landau
ISBN : 9781483285290
Genre : Science
File Size : 22. 17 MB
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Largely a condensed amalgamation of two previous books by the same authors - Mechanics and The Classical Theory of Fields - omitting the rather more advanced topics such as general relativity.

Rock Fragmentation By Blasting

Author : Jose A. Sanchidrian
ISBN : 9781482288698
Genre : Technology & Engineering
File Size : 57. 97 MB
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This volume contains the papers presented at the 9th International Symposium on Rock Fragmentation by Blasting, held in Granada, Spain, 13-17 August 2009. A state-of-the-art collection of articles on developments in rock blasting and explosives engineering, with contributions on rock characterization, explosives and initiation systems, blast design and monitoring, fragmentation assessment, numerical modeling, vibrations from blasting, environmental and economical aspects of rock blasting, and more. Containing unique knowledge, case studies, ideas and insights, this volume is must-have literature for researchers and practitioners in the field of explosives and blasting.

Differential And Riemannian Geometry

Author : Detlef Laugwitz
ISBN : 9781483263984
Genre : Mathematics
File Size : 68. 54 MB
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Differential and Riemannian Geometry focuses on the methodologies, calculations, applications, and approaches involved in differential and Riemannian geometry. The book first offers information on local differential geometry of space curves and surfaces and tensor calculus and Riemannian geometry. Discussions focus on tensor algebra and analysis, concept of a differentiable manifold, geometry of a space with affine connection, intrinsic geometry of surfaces, curvature of surfaces, and surfaces and curves on surfaces. The manuscript then examines further development and applications of Riemannian geometry and selections from differential geometry in the large, including curves and surfaces in the large, spaces of constant curvature and non-Euclidean geometry, Riemannian spaces and analytical dynamics, and metric differential geometry and characterizations of Riemannian geometry. The publication elaborates on prerequisite theorems of analysis, as well as the existence and uniqueness theorem for ordinary first-order differential equations and systems of equations and integrability theory for systems of first-order partial differential equations. The book is a valuable reference for researchers interested in differential and Riemannian geometry.

Dynamics Of Complex Systems

Author : Yaneer Bar-yam
ISBN : 0813341213
Genre : Science
File Size : 44. 1 MB
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The study of complex systems in a unified framework has become recognized in recent years as a new scientific discipline, the ultimate in the interdisciplinary fields. Breaking down the barriers between physics, chemistry, and biology and the so-called soft sciences of psychology, sociology, economics and anthropology, this text explores the universal physical and mathematical principles that govern the emergence of complex systems from simple components. Dynamics of Complex Systems is the first text describing the modern unified study of complex systems. It is designed for upper-undergraduate/beginning graduate level students, and covers a broad range of applications in a broad array of disciplines. A central goal of this text is to develop models and modeling techniques that are useful when applied to all complex systems. This is done by adopting both analytic tools, including statistical mechanics and stochastic dynamics, and computer simulation techniques, such as cellular automata and Monte Carlo. In four sets of paired, self-contained chapters, Yaneer Bar-Yam discusses complex systems in the context of neural networks, protein folding, living organisms, and finally, human civilization itself. He explores fundamental questions about the structure, dynamics, evolution, development and quantitative complexity that apply to all complex systems. In the first chapter, mathematical foundations such as iterative maps and chaos, probability theory and random walks, thermodynamics, information and computation theory, fractals and scaling, are reviewed to enable the text to be read by students and researchers with a variety of backgrounds.

Physics Briefs

Author :
ISBN : UOM:39015027837122
Genre : Physics
File Size : 56. 95 MB
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