PLASMA In the literature: partially resolved

Why the collisionless reconnection rate is close to 0.1

In plain words

Computer simulations and spacecraft find that reconnection without particle collisions always proceeds at about one tenth of a natural speed limit. Nobody has a derivation that explains why this number is so universal.

Precise statement

In collisionless electron-ion reconnection (realistic $m_i/m_e$, guide field $B_g/B_0$ from 0 to above 1, plasma $\beta\ 0.01\ \text{to}\ 1$, symmetric and asymmetric inflows), the normalized rate $E_{\mathrm{rec}} c/(B_0 v_A)$ is about 0.1 in kinetic simulations and MMS data, nearly independent of the dissipation mechanism. Derive from first principles the mechanism that selects this value and its dependence on $B_g/B_0,\beta$ and inflow asymmetry in 2D and 3D. An answer is a derived formula that matches fully kinetic simulations to within 20 percent across these parameters.

What would settle it

A first-principles theory whose predicted rate and parameter dependences agree with large 3D particle-in-cell scans and MMS event statistics.

Status in the literature

A 2017 geometric argument (Liu et al., PRL 118, 085101) bounds the local rate near 0.1, but whether it is the selection mechanism, especially in 3D, is still debated.

See also