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SUMMARY:Thermodynamic bound on cross-correlations for biological informati
 on processing - Sosuke Ito (University of Tokyo)
DTSTART:20230704T113000Z
DTEND:20230704T120000Z
UID:TALK201121@talks.cam.ac.uk
DESCRIPTION:Co-Authors: Naruo Ohga (the University of Tokyo) and Artemy Ko
 lchinsky (the University of Tokyo)\nIn biological information processing\,
  the cross-correlation between an input a(t) and an output b(t) in a stead
 y state\, represented as C &tau\; ab = ⟨a(t)b(t +&tau\;)⟩\, is a funda
 mental measure of information transmission. In an equilibrium state\, such
  cross-correlations exhibit symmetry C &tau\; ab = C &tau\; ba as a conseq
 uence of Onsager reciprocity known as microscopic reversibility [1].\nBiol
 ogical information processing is frequently conducted in a non-equilibrium
  steady state with a thermodynamic driving force Fc such as a chemical pot
 ential difference in a cycle c. Such a driving force can be seen in variou
 s biological processes\, including sensory adaptation\, membrane transport
 s\, and biological clocks. Several studies in stochastic thermodynamics in
 dicate that non-equilibrium driving could enhance biological information p
 rocessing. When a driving force is applied\, these cross-correlations beco
 me asymmetric C &tau\; ab \, C &tau\; ba in non-equilibrium steady states\
 , potentially affecting information transmission performance.\nHere\, we h
 ave introduced a novel stochastic-thermodynamic bound on the asymmetry of 
 cross[1]correlations\, serving as an extension of microscopic reversibilit
 y for non-equilibrium steady states [2]. This bound was geometrically deri
 ved using the isoperimetric inequality in the a-b plane. This bound states
  that the maximal driving force maxc Fc restricts the degree of asymmetry 
 in the cross-correlations |&chi\;ab| = lim&tau\;&rarr\;0 |C &tau\; ba &min
 us\; C &tau\; ab|/|2 &radic\; (C &tau\; aa &minus\; C 0 aa)(C &tau\; bb &m
 inus\; C 0 bb)|. Furthermore\, as an application\, we also prove the therm
 odynamic bound on the coherence of noisy oscillations\, which was previous
 ly conjectured numerically [3].\nReferences\n[1] H. B. G. Casimir\, Rev. M
 od. Phys. 17\, 343 (1945).\n[2] N. Ohga\, S. Ito\, & A. Kolchinsky\, to ap
 pear in Physical Review Letters (2023). [arXiv:2303.13116]\n[3] A. C. Bara
 to\, & U. Seifert\, Phys. Rev. E\, 95\, 062409 (2017).
LOCATION:Seminar Room 1\, Newton Institute
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