Classical and statistical thermodynamics carter download

Though an acquaintance with probability and statistics is helpful, it is not necessary. Providing a thorough, yet concise treatment of the phenomenological basis of thermal physics followed by a presentation of the statistical theory, this book presupposes no exposure to statistics or quantum mechanics. It covers several important topics, including a mathematically sound presentation of classical thermodynamics; the kinetic theory of gases including transport processes; and thorough, modern treatment of the thermodynamics of magnetism.

It includes up-to-date examples of applications of the statistical theory, such as Bose-Einstein condensation, population inversions, and white dwarf stars.

And, it also includes a chapter on the connection between thermodynamics and information theory. Standard International units are used throughout.

An important reference book for every professional whose work requires and understanding of thermodynamics: from engineers to industrial designers. Get BOOK. Classical and Statistical Thermodynamics. Author : Ashley H. Download instructor resources. Additional order info. Buy this product.

K educators : This link is for individuals purchasing with credit cards or PayPal only. This book provides a solid introduction to the classical and statistical theories of thermodynamics. Enables students to develop a genuine understanding of the fundamental concepts of the theory. Gives an accessible elucidation of the distribution functions for both classical and quantum gases. Emphasizes the unique properties of the paramagnetic materials, maintaining both rigor and clarity.

Informs students of recent research topics such as laser cooling, Bose-Einstein condensation, and white dwarf stars. The Nature of Thermodynamics. What Is Thermodynamics? The Kilomile. Limits of the Continuum. More Definitions. Temperature and the Zeroth Law of Thermodynamics. Temperature Scales.

Equation of State of an Ideal Gas. Van der Waals' Equation for a Real Gas. P-v-T Surfaces for Real Substances. Expansivity and Compressibility. An Application. Configuration Work. Dissipative Work. Adiabatic Work and Internal Energy. Units of Heat. The Mechanical Equivalent of Heat. Summary of the First Law. Some Calculations of Work. Heat Capacity. Mayer's Equation. Enthalpy and hats of Transformation.

Relationships Involving Enthalpy. Comparison of u and h. Work Done in an Adiabatic Process. The Gay-Lussac-Joule Experiment. The Joule-Thomson Experiment. Heat Engines and the Carnot Cycle. The Mathematical Concept of Entropy. Irreversible Processes. Carnot's Theorem. The Clausius Inequality and the Second Law. Entropy and Available Energy. Absolute Temperature. Combined First and Second Laws. Entropy Changes in Reversible Processes.

Temperature-Entropy Diagrams. Entropy Change of the Surroundings for a Reversible Process. Entropy Change for an Ideal Gas. We constrain our solution using Lagrange multipliers forming the function:. In order to maximize the expression above we apply Fermat's theorem stationary points , according to which local extrema, if exist, must be at critical points partial derivatives vanish :.

Boltzmann realized that this is just an expression of the Euler-integrated fundamental equation of thermodynamics. Identifying E as the internal energy, the Euler-integrated fundamental equation states that :. In the above discussion, the Boltzmann distribution function was obtained via directly analysing the multiplicities of a system. Alternatively, one can make use of the canonical ensemble. In a canonical ensemble, a system is in thermal contact with a reservoir.

While energy is free to flow between the system and the reservoir, the reservoir is thought to have infinitely large heat capacity as to maintain constant temperature, T , for the combined system. By assumption, the combined system of the system we are interested in and the reservoir is isolated, so all microstates are equally probable.

For the second equality we have used the conservation of energy. Z is constant provided that the temperature T is invariant. Z is sometimes called the Boltzmann sum over states or "Zustandssumme" in the original German. If we index the summation via the energy eigenvalues instead of all possible states, degeneracy must be taken into account.

Posted by: shizukoshizukoknorre Statistical distribution used in many-particle mechanics Maxwell—Boltzmann statistics can be used to derive the Maxwell—Boltzmann distribution of particle speeds in an ideal gas.

They may be distinguished from each other on this basis, and the degeneracy will be the number of possible ways that they can be so distinguished. The Principles of Statistical Mechanics. Dover Publications.