×
Turner, Jack S.

Finite fluctuations and multiple steady states far from equilibrium. (English) Zbl 0278.92004

Bull. Math. Biol. 36, 205-213 (1974).
Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page
scan of Zbl 0278.92004

Cited in 2 Documents

MSC:

92D25 Population dynamics (general)
Cite Review PDF
Full Text: DOI

References:

[1] Babloyantz, A. and G. Nicolis. 1972. ”Chemical Instabilities and Multiple Steady State Transitions in Monod-Jacob Type Models.”J. Theor. Biology,34, 185–192. · doi:10.1016/0022-5193(72)90062-8
[2] Blumenthal, R., J.-P. Changeux and R. Lefever. 1970. ”Membrane Excitability and Dissipative Instabilities.”J. Membrane Biol.,2, 351–374. · doi:10.1007/BF01869870
[3] Edelstein, B. B. 1970. ”Biochemical Model with Multiple Steady States and Hysteresis.”J. Theor. Biology,29, 57–62. · doi:10.1016/0022-5193(70)90118-9
[4] Glansdorff, P. and I. Prigogine. 1971.Thermodynamics Theory of Structure, Stability and Fluctuations. London: Wiley-Interscience. · Zbl 0246.73005
[5] Kobatake, Y. 1970. ”Transition Between Two Steady States in a Porous Charged Membrane.”Physica,48, 301–312. · doi:10.1016/0031-8914(70)90030-3
[6] Lefever, R. 1968. ”Dissipative Structures in Chemical Systems.”J. Chem. Phys.,49, 4977–4978. · doi:10.1063/1.1669986
[7] McQuarrie, D. A. 1967.Stochastic Approach to Chemical Kinetics. London: Methuen. Vol. 8 of Suppl. Rev. Ser. in Appl. Prob. · Zbl 0231.60090
[8] Nicolis, G. and A. Babloyantz. 1969. ”Fluctuations in Open Systems.”J. Chem. Phys.,51, 2632–2637. · doi:10.1063/1.1672388
[9] – 1972. ”Fluctuations Around Nonequilibrium States in Open Nonlinear Systems”.J. Stat. Phys.,6, 195–222. · doi:10.1007/BF01023688
[10] Prigogine, I. and G. Nicolis. 1971. ”Fluctuations in Nonequilibrium Systems.”Proc. Nat. Acad. Sci.,68, 2102–1207. · Zbl 0316.60057 · doi:10.1073/pnas.68.9.2102
[11] —- and A. Babloyantz. 1972. ”Thermodynamics of Evolution.”Physics Today,25, (11), 23–28; (12), 38–44. · Zbl 0237.35012 · doi:10.1063/1.3071090
[12] Turner, J. S. 1974. ”Finite Fluctuations, Nonlinear Thermodynamics, and Far-from-Equilibrium Transitions Between Multiple Steady States.” InMembranes, Dissipative Structures and Evolution. G. Nicolis and R. Lefever, Eds. Adv. Chem. Phys. (in press).
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.