lördag 9 november 2024

CNP talk on 2nd Law

Outline of talk Nov 9 at 10 am EST at Chapell Natural Philosophy Society Saturday Session.

Questions: 

  • Why are certain systems actually irreversible when basic physics is formally reversible?
  • Why is there an Arrow of Time?
  • Why is Entropy S never decreasing?
  • What is Entropy?
  • Boltzmann Statistics S = k log W with W number of microstates
  • Statistics is not physics. Statistics is something done by Insurance Companies.
  • Classical 2nd Law: TdS = Q > 0

Answers from Computational Thermodynamics:

  • New 2nd Law: Q = Turbulent Dissipation = Loss > 0
  • Turbulent Dissipation: Large scale kinetic energy K transformed to small scale K = Heat Energy E from increasing gradients created by reorganizing convection (instability).
  • Irreversible because small scale K cannot be organized to large scale K because of finite precision.
  • Competition: Increase Difference vs Decrease Difference.
  • dE + W = Q with W = pdV work < 0 in compression 
  • dK - W = - Q
  • Classical: Q=TdS not needed. Q > 0 and dS > 0 same thing.
  • Summary: Finite Precision Computation + Instability
  • Applications: Joule experiment. Newtonian cosmology. Life: anabolism vs metabolism.
  • Reality = formal laws of physics + finite precision computation = Computational Euler Equations.

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