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Glossary

Power Degradation of Confinement

The counter-intuitive empirical finding that adding more heating power to a magnetically confined plasma makes it leak energy faster.

Reviewed Last reviewed: 9 Aug 2026 · Category: Glossary

The Paradox of More Power, Worse Confinement

One of the most consequential empirical facts in magnetic fusion is that energy confinement time decreases as external heating power increases. In the standard H-mode scaling IPB98(y,2), confinement time scales as P−0.69, meaning that doubling the heating power cuts τE by roughly 38%.1 This phenomenon is called power degradation.

If confinement were independent of heating power (Bohm-like or "stiff" transport), doubling P would double the stored energy W. Instead, W = P · τE ∝ P0.31 rises only modestly. The plasma "fights back" against additional heating.

Physical Mechanisms

The root cause lies in turbulent transport. The dominant micro-instabilities—ion temperature gradient (ITG) modes, trapped electron modes (TEM), and electron temperature gradient (ETG) modes—are driven by gradients, not absolute values. As more power raises the temperature, gradients steepen until turbulent transport surges to clamp them near a critical threshold. This behaviour is called profile stiffness.2

Above the critical gradient, the turbulent heat diffusivity χ increases roughly in proportion to the excess gradient, so additional power is rapidly conducted outward. The pedestal region in H-mode is partially exempt from this stiffness, which is one reason H-mode confinement is superior—the pedestal provides an insulating layer whose height is set by separate, ELM-regulated physics.3

Consequences for Reactor Design

Power degradation means that brute-force heating cannot compensate for insufficient confinement. Reactor designers must instead increase confinement by raising plasma current, magnetic field, or device size—exactly the dependencies the scaling law prescribes.

The negative power exponent also means that a burning plasma with dominant alpha heating will have lower τE than the same device at low auxiliary power. Self-consistent burn modelling must account for this feedback loop.4

Conversely, power degradation provides a natural negative feedback that can help stabilize the burn: a thermal excursion raises power, which degrades confinement, limiting further temperature rise. This partial self-regulation, while insufficient on its own, eases burn control requirements compared to a confinement time that is power-independent.

Sources

  1. ITER Physics Expert Group on Confinement and Transport, 'Chapter 2: Plasma confinement and transport,' Nuclear Fusion 39 (1999) 2175-2249
  2. Garbet, X. et al., 'Profile stiffness and global confinement,' Plasma Physics and Controlled Fusion 46 (2004) 1351-1373
  3. Kinsey, J.E. et al., 'Burning plasma projections using drift wave transport models and scalings for the H-mode pedestal,' Nuclear Fusion 43 (2003) 1845-1854
  4. Cordey, J.G. et al., 'Plasma confinement in JET H-mode plasmas with H, D, DT and T isotopes,' Nuclear Fusion 39 (1999) 301-308

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