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Dynamical systems and thermodynamics

  1. Oct 1, 2015 #1

    JRR

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    Is there a mathematical way to show that a dissipative (or general?) dynamical system obeys the laws of thermodynamics?

    I am looking for books/sites/references, thanks for any reply.
     
  2. jcsd
  3. Oct 1, 2015 #2

    russ_watters

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    Staff: Mentor

    Probably. Can you be more specific/detailed?
     
  4. Oct 1, 2015 #3

    JRR

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    Thanks for your reply.
    The system would typically be the development of stress versus time, or alternatively stress versus strain for a given strain rate.
    The simplest form I could think of is this (two variants, as described above):

    15zqbg8.png

    Where σ is the stress, t is time, ε is strain and kt and kε are constants.
     
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