statistical physics an advanced approach with applications graduate texts in physics

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Statistical Physics

Author : Josef Honerkamp
ISBN : 9783642286841
Genre : Science
File Size : 44. 95 MB
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The application of statistical methods to physics is essential. This unique book on statistical physics offers an advanced approach with numerous applications to the modern problems students are confronted with. Therefore the text contains more concepts and methods in statistics than the student would need for statistical mechanics alone. Methods from mathematical statistics and stochastics for the analysis of data are discussed as well. The book is divided into two parts, focusing first on the modeling of statistical systems and then on the analysis of these systems. Problems with hints for solution help the students to deepen their knowledge. The third edition has been updated and enlarged with new sections deepening the knowledge about data analysis. Moreover, a customized set of problems with solutions is accessible on the Web at extras.springer.com.

Statistical Physics

Author : J. Honerkamp
ISBN : 3540639780
Genre : Statistical physics
File Size : 53. 21 MB
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"Statistical Physics" offers an advanced treatment with numerous applications to modern problems of relevance to researchers and students. Supplementing the concepts and methods employed in statistical mechanics, the book also covers the fundamentals of probability and statistics, mathematical statistics, and stochastic methods for the analysis of data. 81 illus.

Author : Daniel V. Schroeder
ISBN : 9786035031912
Genre : Science
File Size : 57. 47 MB
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للفيزياء الحرارية أهمية كبيرة في فهم العالم الذي نعيش فيه، إذ إن لكل جسم من حولنا هويته الحرارية الخاصة به التي تمنحه خواص فيزيائية مختلفة. إن كتاب (الفيزياء الحرارية) وضع ليوضح علاقة حرارة المواد بما حولها، ويجيب عن كثير من الأسئلة التي يمكن أن تخطر ببالنا. وينقسم كتاب (الفيزياء الحرارية) إلى أربعة أقسام رئيسة، حيث يناقش القسم الأول الأساسيات من مثل القانونين الأول والثاني، والطاقة في الفيزياء الحرارية والتفاعلات والدلالات كالبارامغناطيسية والاتزان الميكانيكي والضغط واتزان وانتشار الجهد الميكانيكي، ويتمحور القسم الثاني حول الثرموديناميكا، والمكائن الحرارية والثلاجات ومكائن الاحتراق الداخلي والماكينة البخارية والطاقة الحرة وتحولاتها. القسم الثالث والأخير من الكتاب يتناول ميكانيكا الإحصاء، كإحصاء بولتزمان والإحصاء الكمّي، وأنظمة الجسيمات المتفاعلة. ويختتم الكتاب بملحقين: الأول عن عناصر ميكانيكا الكمّ والثاني عن النتائج الرياضية. الكتاب يحتوي على تطبيقات في مجالات متعددة، كالكيمياء والجيولوجيا وعلوم الحياة وعلوم البيئة وعلم التعدين وفيزياء الجوامد وفيزياء الفلك، وغيرها مما يساعد على استيعاب أكبر لمفاهيم الفيزياء الحرارية وأسسها. العبيكان للنشر

Supermathematics And Its Applications In Statistical Physics

Author : Franz Wegner
ISBN : 9783662491706
Genre : Science
File Size : 73. 1 MB
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This text presents the mathematical concepts of Grassmann variables and the method of supersymmetry to a broad audience of physicists interested in applying these tools to disordered and critical systems, as well as related topics in statistical physics. Based on many courses and seminars held by the author, one of the pioneers in this field, the reader is given a systematic and tutorial introduction to the subject matter. The algebra and analysis of Grassmann variables is presented in part I. The mathematics of these variables is applied to a random matrix model, path integrals for fermions, dimer models and the Ising model in two dimensions. Supermathematics - the use of commuting and anticommuting variables on an equal footing - is the subject of part II. The properties of supervectors and supermatrices, which contain both commuting and Grassmann components, are treated in great detail, including the derivation of integral theorems. In part III, supersymmetric physical models are considered. While supersymmetry was first introduced in elementary particle physics as exact symmetry between bosons and fermions, the formal introduction of anticommuting spacetime components, can be extended to problems of statistical physics, and, since it connects states with equal energies, has also found its way into quantum mechanics. Several models are considered in the applications, after which the representation of the random matrix model by the nonlinear sigma-model, the determination of the density of states and the level correlation are derived. Eventually, the mobility edge behavior is discussed and a short account of the ten symmetry classes of disorder, two-dimensional disordered models, and superbosonization is given.

Methods Of Quantum Field Theory In Statistical Physics

Author : A. A. Abrikosov
ISBN : 9780486140155
Genre : Science
File Size : 32. 74 MB
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This comprehensive introduction to the many-body theory was written by three renowned physicists and acclaimed by American Scientist as "a classic text on field theoretic methods in statistical physics."

Elementary Statistical Physics

Author : Charles Kittel
ISBN : 9780486138909
Genre : Science
File Size : 74. 62 MB
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Graduate-level text covers properties of the Fermi-Dirac and Bose-Einstein distributions; the interrelated subjects of fluctuations, thermal noise, and Brownian movement; and the thermodynamics of irreversible processes. 1958 edition.

Statistical Physics For Biological Matter

Author : Wokyung Sung
ISBN : 9789402415841
Genre : Science
File Size : 31. 66 MB
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This book aims to cover a broad range of topics in statistical physics, including statistical mechanics (equilibrium and non-equilibrium), soft matter and fluid physics, for applications to biological phenomena at both cellular and macromolecular levels. It is intended to be a graduate level textbook, but can also be addressed to the interested senior level undergraduate. The book is written also for those involved in research on biological systems or soft matter based on physics, particularly on statistical physics. Typical statistical physics courses cover ideal gases (classical and quantum) and interacting units of simple structures. In contrast, even simple biological fluids are solutions of macromolecules, the structures of which are very complex. The goal of this book to fill this wide gap by providing appropriate content as well as by explaining the theoretical method that typifies good modeling, namely, the method of coarse-grained descriptions that extract the most salient features emerging at mesoscopic scales. The major topics covered in this book include thermodynamics, equilibrium statistical mechanics, soft matter physics of polymers and membranes, non-equilibrium statistical physics covering stochastic processes, transport phenomena and hydrodynamics. Generic methods and theories are described with detailed derivations, followed by applications and examples in biology. The book aims to help the readers build, systematically and coherently through basic principles, their own understanding of nonspecific concepts and theoretical methods, which they may be able to apply to a broader class of biological problems.

The Statistical Foundations Of Entropy

Author : Ramshaw John D
ISBN : 9789813234147
Genre : Science
File Size : 56. 34 MB
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This book presents an innovative unified approach to the statistical foundations of entropy and the fundamentals of equilibrium statistical mechanics. These intimately related subjects are often developed in a fragmented historical manner which obscures the essential simplicity of their logical structure. In contrast, this book critically reassesses and systematically reorganizes the basic concepts into a simpler sequential framework which reveals more clearly their logical relationships. The inherent indistinguishability of identical particles is emphasized, and the resulting unification of classical and quantum statistics is discussed in detail. The discussion is focused entirely on fundamental concepts, so applications are omitted. The book is written at the advanced undergraduate or beginning graduate level, and will be useful as a concise supplement to conventional books and courses in statistical mechanics, thermal physics, and thermodynamics. It is also suitable for self-study by those seeking a deeper and more detailed analysis of the fundamentals. Contents: IntroductionFundamentalsThe Hypothesis of Equal a priori ProbabilitiesConstraintsThe Principle of Maximum EntropyThermodynamic SystemsThe Canonical and Grand Canonical Probability DistributionsMany-Particle SystemsIdentical Particles Are Inherently Indistinguishable Readership: Advanced undergraduate and graduate students, and researchers in statistical physics. Keywords: Entropy;Statistical Mechanics;Statistical Physics;Thermal Physics;Thermodynamics;Information Theory;Probability;Statistics;Fluctuations;Uncertainty;Maximum Entropy;MaxEnt;Indistinguishability;Canonical;Grand Canonical;Boltzmann Distribution;Fermi-Dirac;Bose-Einstein;Gibbs;Boltzmann;JaynesReview: Key Features: The sequential logical structure of the treatment, in which each level naturally follows from and builds upon the previous levels; concepts are not introduced until they are neededDespite brevity (made possible by omitting applications), the fundamental concepts are discussed in greater depth, detail, and generality than is usual in much larger and more expensive booksDiscusses and explains in detail the inherent indistinguishability of identical particles in both classical and quantum mechanics, correcting the misconception to the contrary widespread in most other books, thus unifying classical and quantum statistics within a single general framework

Statistical Mechanics

Author : Shang-Keng Ma
ISBN : 9971966077
Genre : Science
File Size : 60. 85 MB
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This is a unique and exciting graduate and advanced undergraduate text written by a highly respected physicist who had made significant contributions to the subject. This book conveys to the reader that statistical mechanics is a growing and lively subject. It deals with many modern topics from a physics standpoint in a very physical way. Particular emphasis is given to the fundamental assumption of statistical mechanics S=1n and its logical foundation. Calculational rules are derived without resorting to abstract ensemble theory.

Introduction To Statistical Physics

Author : Kerson Huang
ISBN : 0748409416
Genre : Mathematics
File Size : 67. 62 MB
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Statistical physics is a core component of most undergraduate (and some post-graduate) physics degree courses. It is primarily concerned with the behavior of matter in bulk-from boiling water to the superconductivity of metals. Ultimately, it seeks to uncover the laws governing random processes, such as the snow on your TV screen. This essential new textbook guides the reader quickly and critically through a statistical view of the physical world, including a wide range of physical applications to illustrate the methodology. It moves from basic examples to more advanced topics, such as broken symmetry and the Bose-Einstein equation. To accompany the text, the author, a renowned expert in the field, has written a Solutions Manual/Instructor's Guide, available free of charge to lecturers who adopt this book for their courses. Introduction to Statistical Physics will appeal to students and researchers in physics, applied mathematics and statistics.

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