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A critical phenomenon approach of biogenesis

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  • Tsallis, Constantino
  • Ferreira, Ricardo

Abstract

A fundamental prebiotic stage of the origin of life is the formation, from a random assembly of oligomers, of information-containing self-replicating polymers. By adopting a growth mechanism (already used by Anderson and others) essentially based in the complementarity of the Crick and Watson base-pairs, we show that this stage may have occurred as a critical phenomenon. Within a simple real-space renormalization group framework we calculate the relevant critical lines, which are different for different sequences of base-pairs. The picture incorporates in a natural way Darwinian-like evolution, is consistent with reasonable nucleotide ratios (A + T)(C + G) and suggest that polymers like ADN double-chains are more primitive than proteins.

Suggested Citation

  • Tsallis, Constantino & Ferreira, Ricardo, 1986. "A critical phenomenon approach of biogenesis," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 140(1), pages 336-348.
    • Handle: RePEc:eee:phsmap:v:140:y:1986:i:1:p:336-348
    DOI: 10.1016/0378-4371(86)90240-2
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    1. Schuster Leo, 1977. "Der Beitrag der schweizerischen Raiffeisenkassen im Rahmen des schweizerischen Geld- und Kreditwesens," Zeitschrift für das gesamte Genossenschaftswesen, De Gruyter, vol. 27(1), pages 388-393, June.
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    Cited by:

    1. Anisimov, M.A & Gorodetskii, E.E & Kulikov, V.D & Povodyrev, A.A & Sengers, J.V, 1995. "A general isomorphism approach to thermodynamic and transport properties of binary fluid mixtures near critical points," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 220(3), pages 277-324.
    2. Chame, Anna & Tsallis, Constantino, 1990. "Criticality of the discrete N-vector ferromagnet in a cubic lattice with a free surface," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 165(1), pages 41-63.
    3. Silva, Ladário da & Mundim, Kleber Carlos & Tsallis, Constantino, 1998. "Effect of cross-links on the autocatalytic polymerization of RNA-like chains," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 259(3), pages 415-429.
    4. Branco, N.S., 1996. "Blume-Emery-Griffiths model on the square lattice with repulsive biquadratic coupling," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 232(1), pages 477-486.

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