Fundamentals of Statistical and Thermal Physics, Volume 10This book is devoted to a discussion of some of the basic physical concepts and methods useful in the description of situations involving systems which consist of very many particulars. It attempts, in particular, to introduce the reader to the disciplines of thermodynamics, statistical mechanics, and kinetic theory from a unified and modern point of view. The presentation emphasizes the essential unity of the subject matter and develops physical insight by stressing the microscopic content of the theory. |
From inside the book
Results 1-3 of 21
Page 248
... EQUIPARTITION THEOREM 7.5 Proof of the theorem In classical statistical mechanics there exists a very useful general result which we shall now establish . As usual , the energy of a system is a function of some f generalized coordinates ...
... EQUIPARTITION THEOREM 7.5 Proof of the theorem In classical statistical mechanics there exists a very useful general result which we shall now establish . As usual , the energy of a system is a function of some f generalized coordinates ...
Page 250
... equipartition theorem is valid only in classical statistical mechanics . In the correct quantum - mechanical descrip- tion a system has a set of possible energy levels , as indicated in Fig . 7.5.1 , where Eo is the ground - state ...
... equipartition theorem is valid only in classical statistical mechanics . In the correct quantum - mechanical descrip- tion a system has a set of possible energy levels , as indicated in Fig . 7.5.1 , where Eo is the ground - state ...
Page 590
... equipartition theorem . * One can , however , regard the current I as a macroscopic parameter of the system and consider the free energy F of the circuit as a function of I. Then the probability P ( I ) dI that this current has a value ...
... equipartition theorem . * One can , however , regard the current I as a macroscopic parameter of the system and consider the free energy F of the circuit as a function of I. Then the probability P ( I ) dI that this current has a value ...
Contents
Introduction to statistical methods | 1 |
GENERAL DISCUSSION OF THE RANDOM WALK | 24 |
Statistical description of systems of particles | 47 |
Copyright | |
32 other sections not shown
Other editions - View all
Common terms and phrases
accessible amount approximation assume atoms becomes calculate called classical collision condition Consider consisting constant container corresponding course d³v defined denote depends derivatives described direction discussion distribution electrons energy ensemble entropy equal equation equilibrium evaluated example expression external field final follows force function given gives heat Hence ideal illustrated increase independent integral interaction interest internal involving liquid macroscopic magnetic mass maximum mean mean energy measured mechanics method molecules momentum Note obtains parameter particles particular partition phase physical position possible pressure probability problem properties quantity quantum quantum mechanics range relation relative remain reservoir respect result satisfy shows simply situation solid specific statistical steps sufficiently Suppose temperature theory thermal Thermodynamics tion unit variables velocity volume write written yields