Weak invariants in dissipative systems: action principle and Noether charge for kinetic theory

@article{Abe2020WeakII,
  title={Weak invariants in dissipative systems: action principle and Noether charge for kinetic theory},
  author={Sumiyoshi Abe},
  journal={Philosophical Transactions of the Royal Society A},
  year={2020},
  volume={378}
}
  • S. Abe
  • Published 31 August 2019
  • Mathematics, Physics, Medicine
  • Philosophical Transactions of the Royal Society A
In non-equilibrium classical thermostatistics, the state of a system may be described by not only dynamical/thermodynamical variables but also a kinetic distribution function. This ‘double structure’ bears some analogy with that in quantum thermodynamics, where both dynamical variables and the Hilbert space are involved. Recently, the concept of weak invariants has repeatedly been discussed in the context of quantum thermodynamics. A weak invariant is defined in such a way that its value… 
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