Stochastic Thermodynamics and Thermodynamics of Information

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ProbStochProcPicture


Starting date: Friday, 20 April 2018
When: all fridays, 11:00-13:00
Where: SISSA, First Floor, Room 138
Number of lectures: 6

Programme

1. Motivation:

  • Entropy and information, from Boltzmann to Gibbs to Shannon
  • Information devices as non-equilibrium statistical systems

2. Stochastic thermodynamics:

  • Basic structure
  • Relation with ordinary thermodynamics and statistical mechanics

3. Prerequisites:

  • Equilibrium thermodynamics
  • Equilibrium statistical mechanics
  • Basics of information theory:
    – Shannon entropy
    – Kullback-Leibler divergence
    – Mutual and conditional information
  • Basics of large-deviation theory

4. Basic concepts of stochastic thermodynamics:

  • Systems in stochastic thermodynamics
  • Work and heat in stochastic thermodynamics
  • Mesoscopic and calorimetric heat
  • Fluctuating entropy
  • Multiple baths

5. Fluctuation relations:

  • Irreversibility and entropy production
  • Fluctuation relations: Integral and detailed
  • Jarzynski and Crooks relations and their use
  • Hatano-Sasa relation

6. Thermodynamics of information:

  • Thermodynamical computation systems
  • Reversibility:
    – In thermodynamics
    – In computation
    – In stochastic thermodynamics
  • Entropy balance in computation and feedback
  • Speed-accuracy tradeoffs

7. Experimental Maxwell demons:

  • Sagawa-Ueda-Sano Maxwell staircase
  • Landauer principle
  • Sensing

8. Ramifications:

  • Analogy between work extraction, gambling and population dynamics
  • Statistical physics of adaptation
  • Historical (retrospective) fitness

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