Free energy wells for small gas bubbles in soft deformable materials

Journal of Chemical Physics

Volumn 132, Issue 16, 2010, Pages

  Goldman, Saul ^a  

^a UNIVERSITY OF GUELPH   (Canada)

Author keywords

[No Author keywords available]

Indexed keywords

BUBBLE PRESSURE; DECOMPRESSION SICKNESS; DEFORMABLE MATERIAL; ELASTIC FREE ENERGY; GAS BUBBLE; RIGID MATERIAL; SHEAR MODULUS; SHEAR RESISTANCES; SINGLE BUBBLES; SOFT MATERIAL; THERMODYNAMIC EXPRESSION;

AVIATION MEDICINE; DISSOLUTION; FREE ENERGY; GIBBS FREE ENERGY; INERT GASES; OCCUPATIONAL DISEASES; PLASMAS; THERMODYNAMICS; WELLS;

MATERIALS;

EID: 77952380146     PISSN: 00219606     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3394940     Document Type: Article

References (49)

1. S. Goldman, J. Chem. Phys. JCPSA6 0021-9606 131, 184502 (2009). 10.1063/1.3259973
2. S. Goldman, J. Phys. Chem. B JPCBFK 1089-5647 112, 16701 (2008). 10.1021/jp807204y
3. R. D. Vann, in Bove and Davis' Diving Medicine, 2nd ed., edited by, A. A. Bove, and, J. C. Davis, (Saunders, Philadelphia, PA, 1990), Chap..
4. R. D. Vann, in Bove and Davis' Diving Medicine, 4th ed., edited by, A. A. Bove, (Saunders, Philadelphia, PA, 2004), Chaps. and.
5. M. B. Strauss, S. S. Miller, A. J. Lewis, J. E. Bozanic, and I. V. Aksenov, Undersea Hyperbaric Med. UHMEE7 1066-2936 35, 241 (2008).
6. B. A. Hills, Decompression Sickness (Wiley, New York, 1977), Vol. 1, Chaps. and.
7. B. A. Hills and B. P. James, Undersea Biomed. Res. ZZZZZZ 0093-5387 9, 185 (1982).
8. M. P. Spencer, J. Appl. Physiol. JAPYAA 0021-8987 40, 229 (1976).
9. R. Y. Nishi, A. O. Brubakk, O. S. Eftedal, in Bennett and Elliott's Physiology and Medicine of Diving, 5th ed., edited by, A. O. Brubakk, and, T. S. Neuman, (Saunders, Edinburgh, 2003), Chap..
10. E. A. Guggenheim, Thermodynamics: An Advanced Treatment for Chemists and Physicists (North-Holland Physics, Amsterdam, The Netherlands, 1967), Chap..
11. L. D. Landua and E. M. Lifshits, Theory of Elasticity (Pergamon, Oxford, 1959), Chap..
12. I. S. Sokolnikoff, Mathematical Theory of Elasticity, 2nd ed. (Krieger, Malabar, FL, 1983).
13. I. M. Lifshits and V. V. Slyosov, J. Phys. Chem. Solids JPCSAW 0022-3697 19, 35 (1961). 10.1016/0022-3697(61)90054-3
14. M. A. Fradkin, J. Phys.: Condens. Matter JCOMEL 0953-8984 9, 7925 (1997). 10.1088/0953-8984/9/38/002
15. D. A. McQuarrie, Statistical Mechanics (Harper and Row, New York, 1976).
16. D. A. McQaurrie and J. Simon, Physical Chemistry: A Molecular Approach (University Science Books, Sausalito, California, 1997), Chap..
17. J. W. Gibbs, Trans. Conn. Acad. Arts Sci. TCAAAL 0069-8989 3, 343 (1878)
18. Collected Works, Vol. 1, (Yale University Press, New Haven, 1948).
19. I. I. Frenkel, Kinetic Theory of Liquids (Dover, New York, 1955), Chap., pp. 164-166.
20. T. L. Hill, An Introduction To Statistical Thermodynamics (Addison-Wesley, Reading, MA, 1960), Chap..
21. D. G. Truhlar, B. C. Garrett and S. J. Klippenstein, J. Phys. Chem. JPCHAX 0022-3654 100, 12771 (1996). 10.1021/jp953748q
22. F. F. Abraham, Homogeneous Nucleation Theory. Advances in Theoretical Chemistry. Supplement 1, edited by, H. Eyring, and, D. Henderson, (Academic, New York, 1974). Chaps. and.
23. P. G. Debenedetti, Metastable Liquids (Princeton University Press, Princeton, NJ, 1996), Chap. and Appendix 2, particularly Sec. A.2.3.
24. J. W. Tester and M. Modell, Thermodynamics and Its Applications, 3rd ed. (Prentice Hall, Englewood Cliffs, NJ, 1997), Chap., particularly Eqs. (19-8), (19-19), and associated text.
25. H. Reiss, Methods of Thermodynamics (Blaisdell, New York, 1965).
26. H. B. Callen, Thermodynamics (Wiley, New York, 1960).
27. H. Reiss and M. Shugard, J. Chem. Phys. JCPSA6 0021-9606 65, 5280 (1976). 10.1063/1.433028
28. G. Wilemsky, J. Chem. Phys. JCPSA6 0021-9606 80, 1370 (1984). 10.1063/1.446822
29. G. Wilemsky, J. Phys. Chem. JPCHAX 0022-3654 91, 2492 (1987). 10.1021/j100294a011
30. W. H. Press, P. B. Flannery, S. A. Teukolsky, and W. T. Vetterling, Numerical Recipes: The Art of Scientific Computing (FORTRAN Version) (Cambridge University Press, Cambridge, 1989), p. 246.
31. elas.
32. A. N. Gent and D. A. Tompkins, J. Polym. Sci., Part A-2 JPLPAY 0098-1273 7, 1483 (1969). 10.1002/pol.1969.160070904
33. A. N. Gent and D. A. Tompkins, J. Appl. Phys. JAPIAU 0021-8979 40, 2520 (1969). 10.1063/1.1658026
34. C. A. Ward, P. Tikuisis, and R. D. Venter, J. Appl. Phys. JAPIAU 0021-8979 53, 6076 (1982). 10.1063/1.331559
35. E. N. Harvey, D. K. Barnes, W. D. McElroy, A. H. Whitely, D. C. Pease, and K. W. Cooper, J. Cell. Comp. Physiol. JCCPAY 0095-9898 24, 1 (1944). 10.1002/jcp.1030240102
36. P. K. Weathersby, L. D. Homer, and E. T. Flynn, J. Appl. Physiol. JAPYAA 0021-8987 53, 940 (1982). 10.1063/1.330564 (Pubitemid 12476815)
37. E. D. Thalmann, E. C. Parker, S. S. Survanshi, and P. K. Weathersby, Undersea Hyperbaric Med. UHMEE7 1066-2936 24, 255 (1997).
38. S. Goldman, J. Appl. Physiol. JAPYAA 0021-8987 103, 484 (2007). 10.1152/japplphysiol.00315.2006 (Pubitemid 47204964)
39. D. E. Yount, in Mechanics and Physics of Bubbles in Liquids, edited by, L. van Wijngaarden, (Martinus Nijhoff, The Hague, 1982).
40. D. E. Yount, J. Acoust. Soc. Am. JASMAN 0001-4966 65, 1429 (1979). 10.1121/1.382930
41. D. E. Yount, Aviat., Space Environ. Med. ASEMCG 0095-6562 50, 44 (1979).
42. D. E. Yount and T. K. Kunkle, J. Appl. Physiol. JAPYAA 0021-8987 46, 4484 (1975). 10.1063/1.321381
43. D. E. Yount, T. D. Kunkle, J. S. D'Arrigo, F. W. Ingle, C. M. Yeung, and E. L. Beckman, Aviat., Space Environ. Med. ASEMCG 0095-6562 48, 185 (1977).
44. B. R. Weinke, Comput. Biol. Med. CBMDAW 0010-4825 22, 389 (1992). 10.1016/0010-4825(92)90039-P
45. B. R. Wienke, Int. J. Bio-Med. Comput. IJBCBT 0020-7101 26, 237 (1990). 10.1016/0020-7101(90)90048-Y
46. N. Gaskins, R. D. Vann, E. Hobbs, M. Swingle, S. Lee, and D. Needham, Undersea Hyperbaric Med. UHMEE7 1066-2936 28, 56 (2001).
47. K. G. Ikels, J. Appl. Physiol. JAPYAA 0021-8987 28, 524 (1970).
48. A. T. J. Hayward, Br. J. Appl. Phys. BJAPAJ 0508-3443 18, 641 (1967). 10.1088/0508-3443/18/5/314
49. A. H. Cottrel, The Mechanical Properties of Matter (Wiley, New York, 1964).