Physical Transformation AtlasPTA
Pathway · p-58ebdeb752 · extends a recorded pathway

Nuclear binding-energy difference → Chemical fuel

Nuclear binding-energy differenceNuclear fusionTemperature gradientSoret effectConcentration gradientChemiosmosisChemical fuel

Epistemic state of the route

known constituent relations
4 / 6 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 its closing relations with Chemiosmotic ATP synthesis · 2/6 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.20 × C.27 · Nuclear binding-energy difference × Nuclear heatfamily: Nuclear heatD.20 × C.33 · Nuclear binding-energy difference × Thermodiffusivefamily: ThermodiffusiveD.20 × C.30 · Nuclear binding-energy difference × Biologicalfamily: Biological

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
    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 → chemical · loss to thermal
    • a liquid mixture or solution under a steady temperature gradient
    liquid · temperature gradient required
    refs [4] [5]
  4. 04
    chemical → chemical
    refs [5]
  5. 05
    chemical → chemical · loss to thermal
    • a proton gradient across a membrane containing ATP synthase
    aqueous medium required · selective membrane required · room temperature
    refs [6] [7]
  6. 06
    Chemiosmosis —converts into→ Chemical fuelestablishedclaim record
    chemical → chemical · loss to thermal
    • ATP synthesised from ADP and phosphate
    refs [6] [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]
    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]
    C. Soret. Sur l'état d'équilibre que prend au point de vue de sa concentration une dissolution saline primitivement homogène dont deux parties sont portées à des températures différentes (1879)
    Archives des Sciences Physiques et Naturelles 2, 48–61 · paper, no DOI · record
  5. [5]
    S. R. de Groot, P. Mazur. Non-Equilibrium Thermodynamics (1962)
    North-Holland · book, no DOI · record
  6. [6]
    P. Mitchell. Coupling of phosphorylation to electron and hydrogen transfer by a chemi-osmotic type of mechanism (1961)
    Nature 191, 144–148 · doi:10.1038/191144a0 · crossref ✓ 2026-09-19 · record
  7. [7]
    D. G. Nicholls, S. J. Ferguson. Bioenergetics (4th ed.) (2013)
    Academic Press · doi:10.1016/C2010-0-64902-9 · crossref ✓ 2026-09-19 · record

Cite this route

Physical Transformation Atlas (2026). route p-58ebdeb752: Nuclear binding-energy difference → Nuclear fusion → Temperature gradient → Soret effect → Concentration gradient → Chemiosmosis → Chemical fuel. Dataset revision rbfbfcbb70e57 (hash of the canonical data). https://physical-transformation-atlas.wldud5192.workers.dev/path/58ebdeb752

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.