This textbook introduces thermodynamics with a modern approach, starting from four fundamental physical facts (the atomic nature of matter, the indistinguishability of atoms and molecules of the same species, the uncertainty principle, and the existence of equilibrium states) and analyzing the behavior of complex systems with the tools of information theory, in particular with Shannon's measure of information (or SMI), which can be defined on any probability distribution. SMI is defined and its properties and time evolution are illustrated, and it is shown that the entropy is a particular type of SMI, i.e. the SMI related to the phase-space distribution for a macroscopic system at equilibrium. The connection to SMI allows the reader to understand what entropy is and why isolated systems follow the Second Law of Thermodynamics. The Second Llaw is also formulated for other systems, not thermally isolated and even open with respect to the transfer of particles. All the fundamental aspects of thermodynamics are derived and illustrated with several examples in the first part of the book. The second part addresses important applications of thermodynamics, covering phase transitions, mixtures and solutions (including the Kirkwood-Buff approach and solvation thermodynamics), chemical equilibrium, and the outstanding properties of water.This textbook is unique in two aspects. First, thermodynamics is introduced with a novel approach, based on information theory applied to macroscopic systems at equilibrium. It is shown that entropy is a particular case of Shannon's measure of information (SMI), and the properties and time evolution of the SMI are used to explain the Second Law of Thermodynamics. This represents a real breakthrough, as classical thermodynamics cannot explain entropy, nor clarify why systems should obey the Second Law. Second, this textbook offers the reader the possibility to get in touch with important and advanced applications of thermodynamics, to address the topics discussed in the second part of the book. Although they may go beyond the content of a typical introductory course on thermodynamics, some of them can be important in the curriculum chosen by the student. At the same time, they are of appealing interest to more advanced scholars.

In these lectures we summarize certain results on models in statistical physics and quantum field theory and especially emphasize the deep relation ship between these subjects. From a physical point of view, we study phase transitions of realistic systems; from a more mathematical point of view, we describe field theoretical models defined on a euclidean space-time lattice, for which the lattice constant serves as a cutoff. The connection between these two approaches is obtained by identifying partition functions for spin models with discretized functional integrals. After an introduction to critical phenomena, we present methods which prove the existence or nonexistence of phase transitions for the Ising and Heisenberg models in various dimensions. As an example of a solvable system we discuss the two-dimensional Ising model. Topological excitations determine sectors of field theoretical models. In order to illustrate this, we first discuss soliton solutions of completely integrable classical models. Afterwards we dis cuss sectors for the external field problem and for the Schwinger model. Then we put gauge models on a lattice, give a survey of some rigorous results and discuss the phase structure of some lattice gauge models. Since great interest has recently been shown in string models, we give a short introduction to both the classical mechanics of strings and the bosonic and fermionic models. The formulation of the continuum limit for lattice systems leads to a discussion of the renormalization group, which we apply to various models."

Thermodynamics is fundamental to university and college curricula in chemistry, physics, engineering and many life sciences around the world. It is also notoriously difficult for students to understand, learn and apply. What makes this book different, and special, is the clarity of the text. The writing style is fluid, natural and lucid, and everything is explained in a logical and transparent manner. Thermodynamics is a deep, and important, branch of science, and this book does not make it "easy". But it does make it intelligible. This book introduces a new, 'Fourth Law' of Thermodynamics' based on the notion of Gibbs free energy, which underpins almost every application of thermodynamics and which the authors claim is worthy of recognition as a 'law'. The last four chapters bring thermodynamics into the twenty-first century, dealing with bioenergetics (how living systems capture and use free energy), macromolecule assembly (how proteins fold), and macromolecular aggregation (how, for example, virus capsids assemble). This is of great current relevance to students of biochemistry, biochemical engineering and pharmacy, and is covered in very few other texts on thermodynamics. The book also contains many novel and effective examples, such as the explanation of why friction is irreversible, the proof of the depression of the freezing point, and the explanation of the biochemical standard state.

The marvellous complexity of the Universe emerges from several deep laws and a handful of fundamental constants that fix its shape, scale, and destiny. There is a deep structure to the world which at the same time is simple, elegant, and beautiful. Where did these laws and these constants come from? And why are the laws so fruitful when written in the language of mathematics? Peter Atkins considers the minimum effort needed to equip the Universe with its laws and its constants. He explores the origin of the conservation of energy, of electromagnetism, of classical and quantum mechanics, and of thermodynamics, showing how all these laws spring from deep symmetries. The revolutionary result is a short but immensely rich weaving together of the fundamental ideas of physics. With his characteristic wit, erudition, and economy, Atkins sketches out how the laws of Nature can spring from very little. Or arguably from nothing at all.

Mussen Sie sich schnell ein solides Grundwissen in Thermodynamik aneignen? Dann ist dies genau das richtige Buch fur Sie. Wilhelm Kulisch erklart Ihnen die mathematischen Grundlagen, die Sie fur die Thermodynamik brauchen, Zustandsgrossen,-anderungen und -gleichungen sowie die Hauptsatze der Thermodynamik und vieles mehr. Ein Eingangstest soll Ihnen dabei helfen, Ihre individuellen Schwachen aufzudecken, um sie dann gezielt beheben zu konnen. Mit zahlreichen Beispielen und Ubungsaufgaben konnen Sie Ihr neu erworbenes Wissen dann festigen und uberprufen. Dabei kommt der Autor schnell auf den Punkt und erklart dieses manchmal etwas sperrige Thema so verstandlich wie moglich.

This book discusses the merging of nanoscale electronics and electrochemistry and how this can potentially modernize the way electronic devices are currently engineered or constructed. It introduces the electrochemical capacitance as a fundamental missing concept that solves the puzzle between molecular electronics and electrochemistry at the nanoscale. The electrochemical capacitance, as a fundamental principle, is deduced from first principles quantum mechanics. The text also confirmed that faradaic and non-faradaic processes are only different physical approximations of the same sort of energetic phenomenon.The book comprises three chapters. Chapter one introduces the concepts of chemical capacitance, relaxation resistance, and the quantum resistive-capacitive circuit and demonstrates how these elements are translated to the electrochemistry context. In chapter two, the chemical capacitance, the fundamental concept and missing part of the puzzle that unity electronics and electrochemistry, is deduced from first principles of quantum mechanics. In chapter three, the concepts are practically used in different contexts that include molecular diagnostics, molecular conductance and super-capacitive phenomena is explained using the introduced basic principles.

Nicolae Vlad Burnete beschreibt ein neues Verbrennungsverfahren im Dieselmotor, wobei eine Diesel-Voreinspritzung zu den erforderlichen Selbstzundungsbedingungen einer Ethanol-Haupteinspritzung fuhrt. Seine Ergebnisse zeigen, dass die Schadstoffemissionen aufgrund einer geringeren Maximaltemperatur erheblich verringert werden koennen, wahrend der Motorwirkungsgrad aufgrund einer erhoehten Effizienz der Verbrennung gleichzeitig erhoeht wird. Dieses essential ist ein geeigneter Beitrag fur eine grundsatzliche Umstrukturierung der Fahrzeugantriebe, weil nicht hauptsachlich die katalytische Nachbehandlung, sondern grundsatzlich die Prozesse im Brennraum das hoechste Potenzial dafur bieten.

This textbook covers the fundamentals of physical chemistry, explaining the concepts in an accessible way and guiding the readers in a step-by-step manner. The contents are broadly divided into two sections: the classical physico-chemical topics (thermodynamics, kinetics, electrochemistry, transport, and catalysis), and the fabric of matter and its interactions with radiation. Particular care has been taken in the presentation of the algebraic parts of physico-chemical concepts, so that the readers can easily follow the explanations and re-work relevant discussion and derivations with pen and paper. The book is accompanied by a rich mathematical appendix. Each chapter includes a selection of (numerical) exercises and problems, so that students can practice and apply the learned topics. An appendix with solutions allows for controlling the learning success. Carefully prepared illustrative color images make this book a great support for teaching physical chemistry to undergraduate students.This textbook mainly addresses undergraduate students in life sciences, biochemistry or engineering, offering them a comprehensive and comprehensible introduction for their studies of physical chemistry. It will also appeal to undergraduate chemistry students as an accessible introduction for their physical chemistry studies.

Based on the author's own work and results obtained by renowned cosmologists, this short book provides a concise introduction to the relatively new research field of cosmological thermodynamics. Starting with a brief overview of basic cosmology and thermodynamics, the text gives an interesting account of the application of horizon thermodynamics to the homogeneous and isotropic Friedmann-Lemaitre-Robertson-Walker (FLRW) model, the inhomogeneous (Lemaitre-Tolman-Bondi) LTB model, and the gravitationally induced adiabatic particle creation scenario which is considered to be a viable alternative to the concordance Lambda-CDM model of the Universe. Both seasoned and new researchers in this field will appreciate the lucid presentation and the rich bibliography.

This book offers a survey of the historic development of selected areas of chemistry and chemical physics, discussing in detail the European, American and Russian approaches to the development of chemistry. Other key topics include the kinetics and non-linear thermodynamics of chemical reactions and mathematical modeling, which have found new applications in the theory of dynamical systems. The first observations of the periodicity of chemical reactions were lost in the mist of time. In the second half of the 19th century, the phenomenon of chemical periodicity was studied in relation to electrochemistry, solutions and colloids. Discovered in the late 19th century, Liesegang rings are still enigmatic and remain attractive for researchers. However, the discovery of the Belousov-Zhabotinsky reaction marked the successful culmination of the efforts to find a true chemical oscillatory reaction. The book investigates chemical phenomena that were neglected in the past, but have been rediscovered, placing them into a new conceptual framework. For example, it notes that William Bray, who discovered the first oscillatory homogeneous reaction in 1921, was influenced by the first bio-mathematicians who predicted chemical oscillations in homogeneous systems.

This book provides deep insight into the physical quantity known as chemical activity. The author probes deep into classical thermodynamics in Part I, and then into statistical thermodynamics in Part II, to provide the necessary background. The treatment has been streamlined by placing some background material in appendices. Chemical Activity is of interest not only to those in chemical thermodynamics, but also to chemical engineers working with mass transfer and its applications - for example, separation methods.

The first comprehensive graduate-level introduction to stochastic thermodynamics Stochastic thermodynamics is a well-defined subfield of statistical physics that aims to interpret thermodynamic concepts for systems ranging in size from a few to hundreds of nanometers, the behavior of which is inherently random due to thermal fluctuations. This growing field therefore describes the nonequilibrium dynamics of small systems, such as artificial nanodevices and biological molecular machines, which are of increasing scientific and technological relevance. This textbook provides an up-to-date pedagogical introduction to stochastic thermodynamics, guiding readers from basic concepts in statistical physics, probability theory, and thermodynamics to the most recent developments in the field. Gradually building up to more advanced material, the authors consistently prioritize simplicity and clarity over exhaustiveness and focus on the development of readers' physical insight over mathematical formalism. This approach allows the reader to grow as the book proceeds, helping interested young scientists to enter the field with less effort and to contribute to its ongoing vibrant development. Chapters provide exercises to complement and reinforce learning. Appropriate for graduate students in physics and biophysics, as well as researchers, Stochastic Thermodynamics serves as an excellent initiation to this rapidly evolving field. Emphasizes a pedagogical approach to the subject Highlights connections with the thermodynamics of information Pays special attention to molecular biophysics applications Privileges physical intuition over mathematical formalism Solutions manual available on request for instructors adopting the book in a course

Lehrt das WISSEN um die grundlegenden Gesetze und Phanomene Studierende lernen, die Konzepte und Grundlagen zu VERSTEHEN Lehrt das ANWENDEN der Thermodynamik, Kinetik und Elektrochemie auf chemische Fragestellungen

The Heat Equation is one of the three classical linear partial differential equations of second order that form the basis of any elementary introduction to the area of PDEs, and only recently has it come to be fairly well understood. In this monograph, aimed at research students and academics in mathematics and engineering, as well as engineering specialists, Professor Vazquez provides a systematic and comprehensive presentation of the mathematical theory of the nonlinear heat equation usually called the Porous Medium Equation (PME). This equation appears in a number of physical applications, such as to describe processes involving fluid flow, heat transfer or diffusion. Other applications have been proposed in mathematical biology, lubrication, boundary layer theory, and other fields. Each chapter contains a detailed introduction and is supplied with a section of notes, providing comments, historical notes or recommended reading, and exercises for the reader.