# 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} }

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…

## 4 Citations

Variational principles and nonequilibrium thermodynamics

- Physics, MedicinePhilosophical Transactions of the Royal Society A
- 2020

It is argued that, instead of searching for variational principles for dissipative systems, there is another viable programme: the second law alone can be an effective tool to construct evolution equations for both dissipative and non-dissipative processes.

Nonequilibrium thermodynamics: emergent and fundamental

- Physics, MathematicsPhilosophical Transactions of the Royal Society A
- 2020

The fundamental aspects of a second law based framework and a hierarchy of dissipative and ideal theories at all are studied.

Quantum Weak Invariants: Dynamical Evolution of Fluctuations and Correlations

- Physics, MedicineEntropy
- 2020

A formula is presented for time evolution of the covariance matrix associated with the weak invariants in cases where the system density matrix obeys the Gorini–Kossakowski–Lindblad–Sudarshan equation.

SnSe2 realizes soliton rain and harmonic soliton molecules in erbium-doped fiber lasers

- Physics, Materials ScienceNanotechnology
- 2020

The strong nonlinear fiber laser based on SnSe2 provides a good platform for study the pulsation, explosion, rainfall and other phenomena.

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