Statistical Mechanics, Kinetic Theory, and Stochastic Processes

Physics Today ◽  
1973 ◽  
Vol 26 (12) ◽  
pp. 57-59 ◽  
Author(s):  
C. V. Heer ◽  
E. A. Mason
2017 ◽  
Vol 31 (15) ◽  
pp. 1750117
Author(s):  
Marco A. S. Trindade

In this work, we prove a weak law and a strong law of large numbers through the concept of [Formula: see text]-product for dependent random variables, in the context of nonextensive statistical mechanics. Applications for the consistency of estimators are presented and connections with stochastic processes are discussed.


Author(s):  
Olivier Darrigol ◽  
Jürgen Renn

This article traces the history of statistical mechanics, beginning with a discussion of mechanical models of thermal phenomena. In particular, it considers how several circumstances, including the establishment of thermodynamics in the mid-nineteenth century, led to a focus on the model of heat as a motion of particles. It then describes the concept of heat as fluid and the kinetic theory before turning to gas theory and how it served as a bridge between mechanics and thermodynamics. It also explores gases as particles in motion, the Maxwell–Boltzmann distribution, the problem of specific heats, challenges to the second law of thermodynamics, and the probabilistic interpretation of entropy. Finally, it examines how the results of the kinetic theory assumed a new meaning as cornerstones of a more broadly conceived statistical physics, along with Josiah Willard Gibbs and Albert Einstein’s development of statistical mechanics as a synthetic framework.


Physics Today ◽  
1954 ◽  
Vol 7 (4) ◽  
pp. 26-26
Author(s):  
Francis Weston Sears ◽  
Abraham S. Friedman

Author(s):  
Lawrence Sklar

Thermodynamics began as the science that elucidated the law-like order present in the behaviour of heat and in its transformations to and from mechanical work. It became of interest to philosophers of science when the nature of heat was discovered to be that of the hidden energy of motion of the microscopic constituents of matter. Attempts at accounting for the phenomenological laws of heat that make up thermodynamics on the basis of the so-called kinetic theory of heat gave rise to the first fundamental introduction into physics of probabilistic concepts and of probabilistic explanation. This led to so-called statistical mechanics. Some of the issues of thermodynamics with importance to philosophers are: the meaning of the probabilistic claims made in statistical mechanics; the nature of the probabilistic explanations it proffers for the observed macroscopic phenomena; the structure of the alleged reduction of thermodynamic theory to the theory of the dynamics of the underlying microscopic constituents of matter; the place of cosmological posits in explaining the behaviour of local systems; and the alleged reducibility of our very notion of the asymmetry of time to thermodynamic asymmetries of systems in time.


2009 ◽  
Vol 07 (03) ◽  
pp. 697-700
Author(s):  
WAYNE LAWTON

This book provides a concise introduction to quantum mechanics for students versed in mathematics and mechanics. Dr Strocchi imparts a holistic perspective of the quantum landscape by focussing on three concepts: the algebra of observables, basic quantum systems, and stochastic processes. After mastering these concepts, readers are prepared to study specific quantum theories of information, statistical mechanics, and fields.


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