Statistical Physics: A Prelude and Fugue for Engineers
This book, provides a general introduction to the ideas and methods of statistical mechanics with the principal aim of meeting the needs of Master’s students in chemical, mechanical, and materials science engineering. Extensive introductory information is presented on many general physics topics in which students in engineering are inadequately trained, ranging from the Hamiltonian formulation of classical mechanics to basic quantum mechanics, electromagnetic fields in matter, intermolecular forces, and transport phenomena. Since engineers should be able to apply physical concepts, the book also focuses on the practical applications of statistical physics to material science and to cutting-edge technologies, with brief but informative sections on, for example, interfacial properties, disperse systems, nucleation, magnetic materials, superfluidity, and ultralow temperature technologies. The book adopts a graded approach to learning, the opening four basic-level chapters being followed by advanced “starred” sections in which special topics are discussed. Its relatively informal style, including the use of musical metaphors to guide the reader through the text, will aid self-learning.
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2 Overture in B major
3 Easy rhythms and melodies
4 Fluid chords
5 A crescendo of scales
6 Outdoor music
7 Fuzzy and cool melodies
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actually approximation atoms average behavior Boltzmann bosons called canonical charge chemical potential classical colloidal condensate condition consider constant correlation critical point defined degrees of freedom density depends discussed effect electrons entropy equation equilibrium evaluate exchange external field fact factor Fermi Fermi gas fermions ferromagnetic finite fluctuations fluid forces free energy given grand potential heat capacity Hence ideal gas instance integral interactions internal energy investigate Ising model isotherm kinetic lattice liquid macroscopic magnetic field mean–field means microstates molecular molecules momentum motion namely number of particles obtained order parameter paramagnetic partition function pressure probability distribution properties quantity quantum mechanics reservoir result scattering simple solid solution solvent spin statistical mechanics statistical physics superfluid surface temperature term thermal thermodynamic total number transition vanishes variable velocity vibrational volume wavefunction write