What is special about autocatalysis ? Peter Schuster Institut fr - - PowerPoint PPT Presentation

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What is special about autocatalysis ? Peter Schuster Institut fr - - PowerPoint PPT Presentation

Sep 26, 2023 18 likes •271 views

What is special about autocatalysis ? Peter Schuster Institut fr Theoretische Chemie, Universitt Wien, Austria and The Santa Fe Institute, Santa Fe, New Mexico, USA Institutsseminar TBI Wien, 27.06.2018 Web-Page for further information:

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What is special about autocatalysis ?

Peter Schuster

Institut für Theoretische Chemie, Universität Wien, Austria and The Santa Fe Institute, Santa Fe, New Mexico, USA

Institutsseminar TBI Wien, 27.06.2018

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Web-Page for further information: http://www.tbi.univie.ac.at/~pks

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Fluctuations in the dimerization reaction 2A  C parameters: k = 1 [N-1t-1], A0 = 6

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parameters: k = 1 [N-1t-1], A0 = 40 Fluctuations in the dimerization reaction 2A  C

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Fluctuations in the autocatalytic reaction A+X  2X

  • E. Arslan, L.J. Laurenzi. Kinetis of autocatalysis in small systems. J.Chem.Phys. 128:e015101, 2008
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Fluctuations in the autocatalytic reaction A+X  2X parameters: k = 1 [N-1t-1], A0 = 20, X0 = 1

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Sources of stochasticity in autocatalytic reactions

  • 1. Thermal fluctuations
  • 2. Multiple (quasi)stationary states
  • 3. Stochastic delay
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Autocatalysis A+X  2X in the flow reactor: N=1000, X(0)=1

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Autocatalysis A+X  2X in the flow reactor: N=1000, X(0)=2

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Autocatalysis A+X  2X in the flow reactor: N=1000, X(0)=3

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Autocatalysis A+X  2X in the flow reactor: N=1000, X(0)=4

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Autocatalysis A+X  2X in the flow reactor: N=1000, X(0)=5

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Autocatalysis A+X  2X in the flow reactor: N=1000, X(0)=20

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Sources of stochasticity in autocatalytic reactions

  • 1. Thermal fluctuations
  • 2. Multiple (quasi)stationary states
  • 3. Stochastic delay
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Definition of the stochastic delay 

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Thank you for your attention!

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Web-Page for further information: http://www.tbi.univie.ac.at/~pks

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