Physical Transformation AtlasPTA
Pathway · p-1043a15e01 · candidate

Temperature gradient → Electrical work

Temperature gradientThermomagnetic convectionFluid flowStreaming potentialIonic currentElectrical work

Epistemic state of the route

known constituent relations
5 / 5 established or replicated · weakest constituent replicated
constituent maturity floor
K4 · experimentally observed
search for this exact route
Exact composition search: reviewed 2026-09-21 — partial; No physical demonstration of temperature gradient → thermomagnetic convection → streaming potential → electrical output was found, and no retrieved title combines a thermomagnetic flow with an electrokinetic response. Inconclusive until the Semantic Scholar and Google Scholar runs exist and the two unread chase hits are read.
recorded-pathway overlap
shares relations, in order, with Thermomagnetic fluid engine · 2/5 relations shared
route-level evidence
0 sources for the complete composition · 7 cited by the constituent steps
boundaries and interfaces
BOUNDARY compatible · no region transition

Explorematrix context · physics checks · steps · route evidence · constituent evidence · cite

Matrix context

D = disequilibrium row · C = coupling family column. A cell reads the state of the atlas for that pair.

D.01 × C.06 · Temperature gradient × Thermomagneticfamily: ThermomagneticD.01 × C.23 · Temperature gradient × Electrokineticfamily: Electrokinetic

Typed bounds on this route

Every limit the atlas holds for this route, as constraint records: reached through bounded_by claims on the route's own entities. Hard bounds (an upper bound or a formula) decide the thermodynamic-bound check above; benchmarks, constitutive relations and resource limits are listed and never decisive. No prose limit exists anywhere (pass 42).

  • Carnot limit · formula-bound · hard, applies to this route
    η ≤ 1 − T_c/T_h for any heat engine between reservoirs at T_h and T_c
  • Onsager–Casimir reciprocity · constitutive-relation · listed, never decisive
    L_ij(B) = ε_i ε_j L_ji(−B): the cross-coefficients of coupled linear transport are equal up to the time-reversal parities ε of the variables and reversal of the magnetic field; L_ij = L_ji is the zero-field, even-parity case

Steps

  1. 01
    thermal → kinetic · loss to thermal
    • a ferrofluid whose magnetisation decreases with temperature, in a non-uniform magnetic field aligned with the temperature gradient
    liquid · magnetic field required · temperature gradient required
    refs [1] [2]
  2. 02
    kinetic → kinetic
    The circulating flow carries a directed momentum flux that can load a blade: Zhou et al. 2009 drove a rotor with it (recorded as pathway:thermomagnetic-fluid-engine).
    refs [1] [3]
  3. 03
    kinetic → electrical · loss to thermal
    • the produced liquid flow passes a charged surface or through a charged channel; the charged boundary is a condition of the step
    • not something the upstream flow provides
    aqueous medium required · bulk flow required · charged surface required
    refs [4] [5]
  4. 04
    electrical → electrical
    refs [5] [6]
  5. 05
    Ionic current —converts into→ Electrical workestablishedclaim record
    electrical → electrical · loss to thermal
    • electrodes exchange the ionic current for an electronic current through the external load
    refs [7]

Evidence for the complete composition · 0

No source on record for this exact composition. The sources below support the individual steps, not the route as a whole.

Evidence for the constituent relations · 7

  1. [1]
    R. E. Rosensweig. Ferrohydrodynamics (1985)
    Cambridge University Press · book, no DOI · record
  2. [2]
    S. A. Suslov. Peculiarities of Convective Heat and Mass Transfer in Magnetic Nanofluids (2023)
    ASME Journal of Heat and Mass Transfer 145(3), 030801 (online December 2022) · doi:10.1115/1.4055343 · crossref ✓ 2026-09-20 · record
  3. [3]
    L. Zhou et al.. A new miniaturized engine based on thermomagnetic effect of magnetic fluids (2009)
    Frontiers of Energy and Power Engineering in China 3, 160–166 · doi:10.1007/s11708-009-0018-9 · record
  4. [4]
    J. Yin, et al.. Generating electricity by moving a droplet of ionic liquid along graphene (2014)
    Nature Nanotechnology 9, 378–383 · doi:10.1038/nnano.2014.56 · crossref ✓ 2026-09-19 · record
  5. [5]
    J. Yang et al.. Electrokinetic microchannel battery by means of electrokinetic and microfluidic phenomena (2003)
    Journal of Micromechanics and Microengineering 13, 963 · doi:10.1088/0960-1317/13/6/320 · crossref ✓ 2026-09-19 · record
  6. [6]
    R. J. Hunter. Zeta Potential in Colloid Science: Principles and Applications (1981)
    Academic Press · doi:10.1016/C2013-0-07389-6 · crossref ✓ 2026-09-19 · record
  7. [7]
    A. J. Bard, L. R. Faulkner. Electrochemical Methods: Fundamentals and Applications (2nd ed.) (2001)
    Wiley · book, no DOI · record

Cite this route

Physical Transformation Atlas (2026). route p-1043a15e01: Temperature gradient → Thermomagnetic convection → Fluid flow → Streaming potential → Ionic current → Electrical work. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/1043a15e01

Ids and matrix addresses are stable across revisions; the revision hash identifies the exact canonical files the record was compiled from and is meta.data_hash in every /api export. Reuse terms: see the license field in any export.