Abstract
The phase transition behaviour of an amplifier with positive feedback is experimentally studied. The results are interpreted using catastrophe theory language. Zero (in Gilmore’s classification), first and second-order transitions are demonstrated by driving the system along appropriate trajectories in control parameter space and the cusp and the spinodal are mapped. The fluctuations of the order parameter are investigated and their relationship to system response time established. Quench experiments analogous to those familiar in condensed matter have also been performed and with similar results.
Similar content being viewed by others
References
Arecchi F T 1979 inPattern formation by dynamic systems and pattern recognition (Ed) H Haken (Berlin: Springer Verlag) p 28
Billotet C and Binder K 1979Z. Phys. B32 195
Bonifacio R and Lugiato L A 1979 inPattern formation by dynamic systems and pattern recognition (Ed) H Haken (Berlin: Springer Verlag) p 16
Davenport W B and Root W L 1958An introduction to the theory of random signals and noise (New York: McGraw Hill)
de Fontaine D 1979Solid State Phys. 34 73
Eigen M 1971Naturwissenschaften 33a 465
Gilmore R 1981Catastrophe theory for scientists and engineers (New York: John Wiley)
Glansdorf P and Prigogine I 1971Thermodynamic theory of structure, stability and fluctuations (New York: Wiley)
Grey P R and Meyer R G 1977Analysis and design of analog integrated circuits (New York: Wiley)
Haken H 1978Synergetics—An introduction (Berlin: Springer Verlag)
Horn P M, Carruthers T and Long M T 1976Phys. Rev. A34 833
IFF Bulletin 1974 (Julich: IFF)
Jakeman E 1970J. Phys. A3 201
Kabashima S, Itsumi M, Kawakubo T and Nagashima T 1975J. Phys. Soc. Jpn. 39 1183
Kabashima S, Kogure S, Kawakubo T and Okade T 1979J. Appl. Phys. 50 6296
Kabashima S, Yamazaki H and Kawakubo T 1976J. Phys. Soc. Jpn. 40 921
Kawakubo T and Kabashima S 1974J. Phys. Soc. Jpn. 37 1199
Keizer J 1981J. Chem. Phys. 74 1350
Landau L D and Lifshitz E M 1959Statistical physics (Oxford: Pergamon Press)
Landauer R 1962J. Appl. Phys. 33 2209
Lebowitz J L, Marro J and Kalos M H 1982Acta Metall. 30 297
Neelakantan K and Venkataraman G 1982Acta Metall. 31 77
Nicolis G 1980 inSystems far from equilibrium (Ed) L Garrido (Berlin: Springer Verlag) p 91
Nicolis G and Prigogine I 1977Self organization in nonequilibrium systems (New York: Wiley)
Pacault A and Vidal C (Eds) 1979Synergetics (Berlin: Springer Verlag)
Patashinskii A Z and Pokrovski V I 1979Fluctuation theory of phase transitions (Oxford: Pergamon Press)
Prigogine I and Nicolis G 1971Q. Rev. Biophys. 4 107
Shenoy S R and Agarwal G S 1981Phys. Rev. B23 1977
Suzuki M 1979 inSynergetics (Eds) A Pacault and C Vidal (Berlin: Springer Verlag) p 94
Swinney H L and Gollub J P 1981Hydrodynamic instabilities and the transition to turbulence (Berlin: Springer Verlag)
Venkataraman G 1979Trans. Indian Inst. Metals 32 435
Venkataraman G and Balakrishnan V 1978Phys. News 2 1
Thomas H 1968 inTheory of condensed matter (Vienna: IAEA) p 357
Author information
Authors and Affiliations
Rights and permissions
About this article
Cite this article
Neelakantan, K., Venkataraman, G. Phase transitions of a feedback amplifier. Pramana - J. Phys 22, 387–405 (1984). https://doi.org/10.1007/BF02847106
Received:
Revised:
Issue Date:
DOI: https://doi.org/10.1007/BF02847106