TY - JOUR

T1 - The H-theorem for the entropy of waves

AU - Kawamori, Eiichirou

N1 - Funding Information:
This work was supported by Grants-in-Aid MOST 107-2112-M-006-012-MY3 from the Ministry of Science and Technology, Taiwan .
Publisher Copyright:
© 2021 Elsevier B.V.

PY - 2021/6/4

Y1 - 2021/6/4

N2 - In a previous study I defined the nonequilibrium entropy of classical waves in terms of the density matrix of the wave amplitude (the square root of the wave action density). In the present work, I derive the H-theorem for this entropy for weak nonlinear waves whose equations of motion are written in a symplectic form. This formulation enables us to define the Helmholtz free energy of waves in classical plasmas.

AB - In a previous study I defined the nonequilibrium entropy of classical waves in terms of the density matrix of the wave amplitude (the square root of the wave action density). In the present work, I derive the H-theorem for this entropy for weak nonlinear waves whose equations of motion are written in a symplectic form. This formulation enables us to define the Helmholtz free energy of waves in classical plasmas.

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U2 - 10.1016/j.physleta.2021.127315

DO - 10.1016/j.physleta.2021.127315

M3 - Article

AN - SCOPUS:85103336712

VL - 400

JO - Physics Letters, Section A: General, Atomic and Solid State Physics

JF - Physics Letters, Section A: General, Atomic and Solid State Physics

SN - 0375-9601

M1 - 127315

ER -