Struct VortexLattice 

pub struct VortexLattice {
    pub vortices: Vec<FluxVortex>,
    pub penetration_depth: f64,
}

An Abrikosov vortex lattice: a collection of flux vortices in a Type II superconductor at fields H_c1 < H < H_c2.

Fields

vortices: Vec<FluxVortex>

All vortices in this lattice.

penetration_depth: f64

London penetration depth λ (m).

Implementations

impl VortexLattice

pub fn new(penetration_depth: f64) -> Self

Create an empty lattice.

pub fn add_vortex(&mut self, vortex: FluxVortex)

Add a vortex to the lattice.

pub fn triangular_lattice( nx: usize, ny: usize, spacing: f64, penetration_depth: f64, ) -> Self

Build a triangular (Abrikosov) vortex lattice with spacing a over an nx × ny grid.

pub fn compute_inter_vortex_force(&self) -> Vec<[f64; 2]>

Compute the pairwise inter-vortex repulsive force on each vortex.

The London interaction force between two vortices at separation r is:

F(r) = (Φ₀²)/(2π μ₀ λ²) · K₁(r/λ) / r

Here we use the approximation K₁(r/λ) ≈ (λ/r) · exp(-r/λ) for r > 0.

Returns a Vec of 2-D force vectors [fx, fy] (N/m) per vortex.

pub fn flux_density(&self, cell_area: f64) -> f64

Total applied flux density B = n_v · Φ₀ (T·m²) where n_v is the vortex areal density. Assumes vortices are distributed over area given by cell_area (m²).

Trait Implementations

impl Clone for VortexLattice

fn clone(&self) -> VortexLattice

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for VortexLattice

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.