Reciprocal Relations in Irreversible Processes. I.¶
Onsager, L. (1931). Reciprocal Relations in Irreversible Processes. I. Physical Review, 37, 405-426.
Cited by¶
7 citations across 7 artifacts.
Each citation links to the sentence it supports in the citing article.
Primes¶
- Damping
- Structural tension: Damping dissipates energy, driving the Second Law of thermodynamics
This sourceEstablishes the Onsager reciprocal relations linking irreversible fluxes to forces, founding non-equilibrium thermodynamics and connecting dissipation to entropy production. Note the bib annotation's 'fluctuation–dissipation' phrasing is loose — Onsager's result is the reciprocity of transport coefficients, not the FDT proper.
Supported in partVerified against the publisher's abstract
Onsager's 1931 abstract supplies the dissipation-function and reciprocity of irreversible processes, but never states that damping drives the Second Law or that entropy rises as work becomes heat.
“The reciprocal relations can be expressed in terms of a potential, the dissipation-function. Lord Rayleigh's "principle of the least dissipation of energy" is generalized to include the case of anisotropic heat conduction.”
- Structural tension: Damping dissipates energy, driving the Second Law of thermodynamics
- Detailed balance
- Diffusion
- Onsager's
This sourceDerives, from microscopic reversibility, reciprocal relations linking fluxes to thermodynamic forces in coupled irreversible processes (heat conduction, diffusion, electrokinetics).
- Onsager's
- Entropy (Thermodynamic Sense)
- as the information-theoretic analog, Landauer bound linking information erasure to entropy production); in non-equilibrium systems (entropy production rate via Onsager relations
This sourceEstablishes the Onsager reciprocal relations for near-equilibrium (linear-response) transport, linking fluxes to thermodynamic forces.
Supported in partVerified against the publisher's abstract
Onsager's 1931 abstract states reciprocal relations for coupled irreversible processes and a dissipation-function potential — the framework behind entropy-production rates — but never names entropy production itself.
“The reciprocal relations can be expressed in terms of a potential, the dissipation-function.”
- as the information-theoretic analog, Landauer bound linking information erasure to entropy production); in non-equilibrium systems (entropy production rate via Onsager relations
- Equilibrium
- . Engineering and control Set-point regulation in control systems; PID controllers driving outputs toward a desired equilibrium. Near-equilibrium reciprocal relations
This sourceDerives, from microscopic reversibility, the symmetry of the matrix of linear transport coefficients near equilibrium (L_αβ = L_βα), founding linear non-equilibrium thermodynamics (Nobel Prize, 1968). NOTE: the 'enable efficient design of control and regulation systems' embellishment over-reaches — see prose flag.
Supported in partVerified against the publisher's abstract
Onsager's abstract derives reciprocal relations for coupled irreversible processes from microscopic reversibility, but states neither the near-equilibrium restriction nor any control-design use.
“A general class of such relations will be derived by a new theoretical treatment from the principle of microscopic reversibility.”
- . Engineering and control Set-point regulation in control systems; PID controllers driving outputs toward a desired equilibrium. Near-equilibrium reciprocal relations
- Irreversibility
- Near-equilibrium irreversible processes are quantified via Onsager's reciprocal relations
This sourceEstablishes near-equilibrium response theory (linear response, fluctuation-dissipation) and shows how systems near equilibrium satisfy kinetic relations linking fluxes to forces; extends thermodynamic thinking to weakly non-equilibrium regimes by linearizing around equilibrium.
Supported in partVerified against the publisher's abstract
Onsager's own abstract backs reciprocal relations for coupled irreversible processes expressed via a dissipation-function, but it does not state the near-equilibrium restriction the claim asserts.
“The reciprocal relations can be expressed in terms of a potential, the dissipation-function.”
- Near-equilibrium irreversible processes are quantified via Onsager's reciprocal relations
- Thermodynamic Equilibrium
- Non-equilibrium thermodynamics (Onsager, Prigogine)
This sourceEstablishes near-equilibrium response theory (linear response, fluctuation-dissipation) and shows how systems near equilibrium satisfy kinetic relations linking fluxes to forces; extends thermodynamic thinking to weakly non-equilibrium regimes by linearizing around equilibrium.
Supported in partVerified against the publisher's abstract
Onsager's 1931 abstract supplies the linear near-equilibrium reciprocal relations for irreversible processes - the Onsager half of the heading - but says nothing about Prigogine or far-from-equilibrium theory.
“A general class of such relations will be derived by a new theoretical treatment from the principle of microscopic reversibility.”
- Non-equilibrium thermodynamics (Onsager, Prigogine)
Verification¶
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Links previously used in the corpus¶
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