Physical Transformation AtlasPTA
Pathway · p-03960ce720 · extends a recorded pathway

Nuclear binding-energy difference → Electrical work

Nuclear binding-energy differenceNuclear fusionTemperature gradientMarangoni effectMechanical motionElectromagnetic inductionCharge carriersElectrical work

Epistemic state of the route

known constituent relations
5 / 7 established or replicated · weakest constituent demonstrated
constituent maturity floor
K4 · experimentally observed
search for this exact route
Not assessed — complete composition not searched.
recorded-pathway overlap
shares relations, in order, with Thermocapillary micromotor · 2/7 relations shared
route-level evidence
0 sources for the complete composition · 11 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.20 × C.27 · Nuclear binding-energy difference × Nuclear heatfamily: Nuclear heatD.20 × C.34 · Nuclear binding-energy difference × Marangonifamily: MarangoniD.20 × C.14 · Nuclear binding-energy difference × Electromagnetic inductionfamily: Electromagnetic induction

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

Steps

  1. 01
    nuclear → kinetic · loss to radiative
    • for a power-producing D–T thermonuclear plasma: ion temperatures of order 10 keV and a sufficient density–confinement product (Lawson); these are power-balance conditions, not prerequisites for an individual fusion reaction
    plasma · above ~700 K
    Fusion reactions and target-level fusion energy release are experimentally demonstrated (target gain > 1 at NIF, 2022–2024); net electrical output from a fusion power plant is not.
    refs [1] [2] [3]
  2. 02
    kinetic → thermal · loss to radiative
    • energetic products (neutrons, alphas) deposit their kinetic energy in a blanket or the plasma, which then runs hotter than its surroundings
    refs [2] [3]
  3. 03
    thermal → kinetic · loss to thermal
    • thermocapillary case: surface tension falls with temperature, so a temperature gradient along the interface drives flow toward the cold side
    liquid · temperature gradient required
    refs [4] [5]
  4. 04
    kinetic → mechanical · loss to thermal
    • a floating or interface-bound body whose asymmetry (shape, or where it emits a surfactant or absorbs heat) leaves a net surface-tension force or torque on it
    • the body must be free to move on the interface; a rigid wall only sets up a flow
    liquid
    Two independent groups: thermocapillary microgears (Maggi et al. 2015, light-heated, up to 300 r.p.m.) and solutocapillary camphor rotors carrying magnets past a coil (Frenkel et al. 2019, 10–20 h). Distinct from Marangoni flow turning a rotor: here the Marangoni stress acts on the moving body directly.
    refs [6] [7]
  5. 05
    mechanical → electrical · loss to thermal
    • a magnet moving relative to a coil
    conductor required · magnetic field required
    refs [8] [9]
  6. 06
    electrical → electrical · loss to thermal
    refs [8] [10]
  7. 07
    Charge carriers —converts into→ Electrical workestablishedclaim record
    electrical → electrical · loss to thermal
    • carriers driven through an external load at the potential difference the source maintains
    refs [11]

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 · 11

  1. [1]
    H. A. Bethe. Energy production in stars (1939)
    Physical Review 55, 434 · doi:10.1103/PhysRev.55.434 · crossref ✓ 2026-09-19 · record
  2. [2]
    J. D. Lawson. Some criteria for a power producing thermonuclear reactor (1957)
    Proceedings of the Physical Society B 70, 6–10 · doi:10.1088/0370-1301/70/1/303 · crossref ✓ 2026-09-19 · record
  3. [3]
    H. Abu-Shawareb, et al. (Indirect Drive ICF Collaboration). Achievement of target gain larger than unity in an inertial fusion experiment (2024)
    Physical Review Letters 132, 065102 · doi:10.1103/PhysRevLett.132.065102 · crossref ✓ 2026-09-19 · record
  4. [4]
    L. E. Scriven, C. V. Sternling. The Marangoni Effects (1960)
    Nature 187, 186-188 · doi:10.1038/187186a0 · crossref ✓ 2026-09-20 · record
  5. [5]
    Q. Dai et al.. Directional interfacial motion of liquids: Fundamentals, evaluations, and manipulation strategies (2021)
    Tribology International 154, 106749 · doi:10.1016/j.triboint.2020.106749 · crossref ✓ 2026-09-20 · record
  6. [6]
    C. Maggi et al.. Micromotors with asymmetric shape that efficiently convert light into work by thermocapillary effects (2015)
    Nature Communications 6, 7855 · doi:10.1038/ncomms8855 · record
  7. [7]
    M. Frenkel et al.. Mini-Generator of Electrical Power Exploiting the Marangoni Flow Inspired Self-Propulsion (2019)
    ACS Omega 4, 15265–15268 · doi:10.1021/acsomega.9b02257 · record
  8. [8]
    M. Faraday. Experimental researches in electricity (1832)
    Philosophical Transactions of the Royal Society 122, 125–162 · doi:10.1098/rstl.1832.0006 · crossref ✓ 2026-09-19 · record
  9. [9]
    S. P. Beeby, et al.. A micro electromagnetic generator for vibration energy harvesting (2007)
    Journal of Micromechanics and Microengineering 17, 1257 · doi:10.1088/0960-1317/17/7/007 · crossref ✓ 2026-09-19 · record
  10. [10]
    L. D. Landau, E. M. Lifshitz, L. P. Pitaevskii. Electrodynamics of Continuous Media (Course of Theoretical Physics, Vol. 8, 2nd ed.) (1984)
    Pergamon · book, no DOI · record
  11. [11]
    N. W. Ashcroft, N. D. Mermin. Solid State Physics (1976)
    Holt, Rinehart and Winston · book, no DOI · record

Cite this route

Physical Transformation Atlas (2026). route p-03960ce720: Nuclear binding-energy difference → Nuclear fusion → Temperature gradient → Marangoni effect → Mechanical motion → Electromagnetic induction → Charge carriers → Electrical work. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/03960ce720

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.