Journal of Mathematical Physics
   
 
 
 
Previous Article
Group-Theoretical Models of Local-Field Theories
Local fields on a finite, discrete, space-time model are introduced as a guide for axiomatic discussion of quantum field theory.
Next Article
Asymptotic Properties of the Electromagnetic Field
From the integral form of the general solution for the retarded electromagnetic field of a localized charge-current distribution, the asymptotic field is shown to have the behavior Fµ = Nµ...

On the Derivation of Statistical Thermodynamics from Purely Phenomenological Principles

J. Math. Phys. 5, 164 (1964); doi:10.1063/1.1704105

Issue Date: February 1964

You are not logged in to this journal. Log in

Benoit Mandelbrot
Harvard University, Cambridge, Massachusetts
I.B.M. Research Center, Yorktown Heights, New York

Szilard pointed out in 1925 that it is possible to base the foundations of statistical thermodynamics upon ``phenomenological'' principles, analogous to those of the non-statistical ``classical'' theory. This approach is discussed and developed. ©1964 The American Institute of Physics
BUY THIS ARTICLE   (US$28)
Download PDF (714 kB) View Cart

PUBLICATION DATA

ISSN:
0022-2488 (print)   1089-7658 (online)
Publisher:
AIP is a member of CrossRef AIP

REFERENCES (7)

For access to fully linked references, you need to log in. For access to fully linked references, you need to Log in.
  1. L. Szilard, Z. Physik 32, 753 (1925).
  2. Do not confuse this reference with Z. Physik, 53, 840 (1929).
  3. B. Mandelbrot, Ann. Math. Stat. 33, 1021 (1962).
  4. For an early announcement of this result, see Compt. Rend. 243, 1835 (1956).
  5. L. Tisza and P. M. Quay, Ann. Physics 25, 48 (1963).
  6. C. R. Rao, Advanced Statistical Methods in Biometric Research, (John Wiley & Sons, Inc., New York, 1952). R. B. Hoag and A. T. Craig, Introduction to Mathematical Statistics (The Macmillan Company, New York, 1959).
  7. P. Ehrenfest, Collected Scientific Papers (Interscience Publishers, Inc., New York, 1959).
  8. L. Rosenfeld, Physica 27, 67 (1961).
  9. A. I. Khinchin, Mathematical Foundations of Statistical Mechanics (Dover Publications, Inc., New York, 1949).

CITING ARTICLES

For access to citing articles, you need to log in.
For access to citing articles, you need to Log in.