PIC (Particle-in-Cell) — plasma kinetic simulation L1-346

Plasma PhysicsPIC kinetic plasma simulationδ=5 · challengingL_DAG = 3.5📋 Stub — not mineable

📋

Unclaimed Principle — open for contribution

This Principle is declared in the catalog but has no reference solver, no pinned dataset, and is not registered on-chain. There is no reward pool. Submitting a cert against this Principle today will record the cert for reproducibility but pay zero PWM.

To claim it as a Bounty #7 contribution: open a PR adding (1) a reference solver, (2) ≥1 dataset pinned to IPFS, (3) updates to the L3 manifest with dataset CIDs. After verifier-agent triple-review, the founders' 3-of-5 multisig signs PWMRegistry.register() and the Principle becomes mineable.

Read the contribution guide →Open a claim issue →

Forward model E

d m_{i} v_{i} / d t = q (E + v x B) a t x_{i}; r h o = i \sum q_{i} \cdot S (x - x_{i}); M a x w e l l so l v er

PIC (Particle-in-Cell) — plasma kinetic simulation forward model.

L-DAG

L.particle_push -> L.field_interpolate -> L.charge_deposit -> int.temporal

L.particle_pushL.field_interpolateL.charge_depositint.temporal

Well-posedness W

Existence:: true
Uniqueness:: true
Stability:: conditional
κ:: 600

Conditional stability; mismatch parameters dominate at Omega bounds.

Solvability C

Solver class:: VPIC, WarpX, OSIRIS
Convergence rate q:: 1
Complexity:: O(N log N) per iteration

Specs (0)

No L2 specs registered yet for this principle.