Experiments in statistical mechanics

American Journal of Physics

Volumn 68, Issue 12, 2000, Pages 1073-1083

  Prentis, Jeffrey J ^a  

^a UNIVERSITY OF MICHIGAN DEARBORN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0034367481     PISSN: 00029505     EISSN: None     Source Type: Journal    
DOI: 10.1119/1.1315604     Document Type: Article

References (24)

1. J. Perrin, Atoms (Ox Bow, Woodbridge, CT, 1990), pp. 109-133.
2. A. Einstein, Investigations on the Theory of the Brownian Movement (Dover, New York, 1956), pp. 1-18.
3. Cenco Brownian Movement Apparatus, No. 7127OU, Central Scientific Company, 3300 Cenco Parkway, Franklin Park, IL 60131.
4. H. Kruglak, "Boltzmann's constant: A laboratory experiment," Am. J. Phys. 57, 216-217 (1989).
5. M. Zeilik, "Modeling Energy Outflow in Stars," Phys. Teach. 37, 236-237 (1999).
6. M. Horne, P. Farago, and J. Oliver, "An experiment to measure Boltzmann's constant," Am. J. Phys. 41, 344-348 (1973).
7. Molecular Motion Model, No. SF-8663, Pasco Scientific, 10101 Foothills Blvd., Roseville, CA 95747-7100. Molecular Motion Demonstrator, No. 31365, Central Scientific Company, 3300 Cenco Parkway, Franklin Park, IL 60131.
8. H. Unruh and K. M. Unruh, "Experimental determination of the Maxwell velocity distribution," Am. J. Phys. 45, 685-686 (1977).
9. B. G. Eaton, R. G. Finstad, and P. D. Lane, "Kinetic theory simulator for laboratory use," Am. J. Phys. 47, 132-135 (1979).
10. M. D. Sturge and S. B. Toh, "An experiment to demonstrate the canonical distribution," Am. J. Phys. 67, 1129-1131 (1999).
11. P. Ehrenfest and T. Ehrenfest, The Conceptual Foundations of the Statistical Approach in Mechanics (Dover, New York, 1990), pp. 21-26; Shang-keng Ma, Statistical Mechanics (World Scientific, Philadelphia, 1985), pp. 440-445; C. J. Thompson, Mathematical Statistical Mechanics (Macmillan, New York, 1972), pp. 214-217.
12. P. Ehrenfest and T. Ehrenfest, The Conceptual Foundations of the Statistical Approach in Mechanics (Dover, New York, 1990), pp. 21-26; Shang-keng Ma, Statistical Mechanics (World Scientific, Philadelphia, 1985), pp. 440-445; C. J. Thompson, Mathematical Statistical Mechanics (Macmillan, New York, 1972), pp. 214-217.
13. P. Ehrenfest and T. Ehrenfest, The Conceptual Foundations of the Statistical Approach in Mechanics (Dover, New York, 1990), pp. 21-26; Shang-keng Ma, Statistical Mechanics (World Scientific, Philadelphia, 1985), pp. 440-445; C. J. Thompson, Mathematical Statistical Mechanics (Macmillan, New York, 1972), pp. 214-217.
14. ™, distributed by Hart Enterprises Inc., 211 E. McLoughlin Blvd., Vancouver, WA 98663.
15. Motion Sensor, No. CI-6742, Pasco Scientific, 10101 Foothills Blvd., Roseville, CA 95747-7100.
16. R). Further experiments are required to test this hypothesis.
17. F. Reif, Fundamentals of Statistical and Thermal Physics (McGraw-Hill, New York, 1965), p. 54.
18. K. Stowe, Introduction to Statistical Mechanics and Thermodynamics (Wiley, New York, 1984), pp. 13-17.
19. R), this energy effect (or momentum phase-space effect) is less important because the wall spends most of the time at values of x for which the energy is approximately constant, independent of these (most probable) values of x.
20. See Ref. 15, p. 205.
21. 0).
22. See Ref. 15, pp. 248-250.
23. We have constructed a "variable-entropy" Boltzmann machine whose upper level can be adjusted to form regions of different shapes and sizes. The upper level consists of a large board, approximately twice the length of the lower board. A series of nails mounted along the perimeter of the upper board allows the operator to stretch elastic bands between different nails, thereby changing the geometry of the upper level.
24. See Ref. 15, pp. 548-553.