Struphy equilibrium

ShearFluid

Sheared fluid equilibrium in a cube with side lengths

L_{x} = a, L_{y} = b, L_{z} = c

. Profiles depend on

z

solely.

Governing formula

p(z) &= p_a + T(z)p_b \,, n(z) &= n_a + T(z)n_b \,. T(z) &= (\tanh(z - z_1)/\delta)-\tanh(z - z_2)/\delta)) \,. \mathbf B &= B_{0x}\,\mathbf e_x + B_{0y}\,\mathbf e_y + B_{0z}\,\mathbf e_z = const.\,,

Units are those defned in the parameter file (through `struphy.io.options.BaseUnits`).

Pressure and density sampled from the generated equilibrium data. Heatmaps use the perceptually uniform Viridis palette.

Pressurex–y · 1.00e+0 to 1.00e+0

Densityx–y · 1.00e+0 to 1.00e+0

Pressurex–z · 1.00e+0 to 1.00e+0

Densityx–z · 1.00e+0 to 1.25e+0

Pressurey–z · 1.00e+0 to 1.00e+0

Densityy–z · 1.00e+0 to 1.25e+0

X-line · pressure / density

Y-line · pressure / density

Z-line · pressure / density

Parameter	Value	Description
`a`	`1`	Dimension of the slab in x (default: 1.).
`b`	`1`	Dimension of the slab in y (default: 1.).
`c`	`1`	Dimension of the slab in z (default: 1.).
`z1`	`0.25`	Location of the first swap in density (default 0.25).
`z2`	`0.75`	Location of the second swap in density (default 0.75).
`delta`	`0.06666666`	Characteristic size of the swap region (default 1/15).
`na`	`1`	Exterior value for the density (default: 1.).
`nb`	`0.25`	Deviation of the density (default 0.25).
`pa`	`1`	Exterior value for the pressure (default: 1.).
`pb`	`0`	Deviation of the pressure (default 0.).
`B0x`	`1`	x-component of magnetic field (default: 0.).
`B0y`	`0`	y-component of magnetic field (default: 0.).
`B0z`	`0`	z-component of magnetic field (default: 1.).