Problems and Solutions on Thermodynamics and Statistical Mechanics

10.1142/12684 ◽  
2022 ◽  
Author(s):  
Swee Cheng Lim ◽  
Choy Heng Lai ◽  
Leong Chuan Kwek
Entropy ◽  
2018 ◽  
Vol 20 (6) ◽  
pp. 392 ◽  
Author(s):  
Andrea Puglisi ◽  
Alessandro Sarracino ◽  
Angelo Vulpiani

Author(s):  
Wayne C. Myrvold

Probability concepts permeate physics. This is obvious in statistical mechanics, in which probabilities appear explicitly. But even in cases when predictions are made with near-certainty, there is are implicit probabilistic assumptions in play, as it is assumed that molecular fluctuations can be neglected. How are we to understand these probabilistic concepts? This book offers a fresh look at these familiar topics, urging readers to see them in a new light. It argues that the traditional choices between probabilities as objective chances or degrees of belief is too limiting, and introduces a new concept, called epistemic chances, that combines physical and epistemic considerations. Thinking of probabilities in this way solves some of the puzzles associated with the use of probability and statistical mechanics. The book includes some history of discussions of probability, from the eighteenth to the twentieth century, and introductions to conceptual issues in thermodynamics and statistical mechanics. It should be of interest to philosophers interested in probability, and to physicists and philosophers of physics interested in understanding how probabilistic concepts apply to the physical world.


Author(s):  
Daniel L. Stein ◽  
Charles M. Newman

This chapter introduces the basic concepts and language that will be needed later on: order, symmetry, invariance, broken symmetry, Hamiltonian, condensed matter, order parameter, ground state, and several thermodynamic terms. It also presents the necessary concepts from thermodynamics and statistical mechanics that will be needed later. It boils down the latter to its most elemental and essential ingredient: that of temperature as controlling the relative probabilities of configurations of different energies. For much of statistical mechanics, all else is commentary. This is sufficient to present an intuitive understanding of why and how matter organizes itself into different phases as temperature varies, and leads to the all-important concept of a phase transition.


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