Abstract
Nonequilibrium systems that undergo symmetry breaking transitions are extremely sensitive to small interactions. From the macroscopic equations it is shown that, the effect of an interaction of energy ΔE is characterized by the factor (ΔE/kT)I/n, n=2 or 3 depending on the transition. The fractional exponent indicates an amplified response. When fluctuations are taken into consideration calculations show extreme sensitivity of the system. In fact it seems possible that chemical systems, of sufficient size, over sufficiently long time, can become so sensitive as to respond to the parity violating effects of the weak-neutral-current interaction between the electron and the nucleone.
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References
D. К. Kondepudi and I. Prigogine: Physica 107A, 1 (1981).
J. Pantaloni, et. al.: J. Physique Lettres, 42, L-147 (1981).
D. Ruelle; Arch. Rat. Mech. Anal. 51, 136 (1973).
D. H. Sattinger: Group Theoretic Methods in Bifurcation Theory, Lecture Notes in Mathematics, Vol. 762 (Springer-Verlag, Berlin 1979).
D. K. Kondepudi: Instabilities, Bifurcation and Fluctuations in Chemical Systems, L. E. Reichl and W. C Schieve, eds. (Univ. of Texas Press, Austin 1982).
D. K. Kondepudi: Ph.D. Dissertation, Univ. of Texas (1979).
G. Nicolis and I. Prigogine: Self-Organization in Nonequilibrium Systems, (Wiley, New York 1977).
F. C. Frank: Biochem. Biophys. Acta. (Amst) 11, 459 (1953).
F. F. Seelig: J. Theor. Biol. 31, 355 (1971)
P. Decker: J. Mol. Evol. 4, 49 (1974)
L. L. Morozov, V. V. Kuz’min and V. I. Goldanskii: Origins of Life 13, 69 (1983).
N. G. Van Kampen: Stochastic Processes in Physics and Chemistry (North-Holland, Amsterdam, 1983) Chapts, VII and VIII.
D. K. Kondepudi and G. Nelson; Phys. Rev. Lett. 50, 1023 (1983).
D. K. Kondepudi and G. Nelson: Physica A (1984) to appear.
T. P. Emmons, J. M. Reeves and E. N. Forston: Phys. Rev. Lett. 51, 2089 (1983).
B. Ya Zel’dovich, D. B. Saakyan and I. I. Sobel’man: Pis’ma Zh Eskp. Theor. Fiz. 25, 106 (1977) (JETP Lett. 25, 94 (1977)).
R. A. Hegstrom, D. W. Rein and P. G. H. Sanders: J. Chem. Phys. 73, 2329 (1980).
C. A. Mead and A. Moscowitz: J. Am. Chem. Soc. 102, 7301 (1980).
A. Peres: J. Am. Chem. Soc. 102, 7389 (1980).
D. K. Kondepudi and G. Nelson: “Chiral Symmetry Breaking in Nonequilibrium Chemical Systems: Time Scales for Chiral Selection” Preprint (Jan. 1984).
S. F, Mason and G, E. Tranter: J. Chem. Soc. Chem. Comm. 117 (1983).
D. K. Kondepudi: Physica 115A, 552 (1982).
N. Kopell and L. N. Howard: Science 180, 1171 (1973).
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Kondepudi, D.K. (1984). Nonequilibrium Sensitivity. In: Horsthemke, W., Kondepudi, D.K. (eds) Fluctuations and Sensitivity in Nonequilibrium Systems. Springer Proceedings in Physics, vol 1. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46508-6_22
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DOI: https://doi.org/10.1007/978-3-642-46508-6_22
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