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CriticalPhenomena

oxiphysics_core::renormalization_group

Struct CriticalPhenomena 

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pub struct CriticalPhenomena {
    pub exp: CriticalExponents,
    pub t_c: f64,
    pub xi0: f64,
    pub chi0: f64,
    pub m0: f64,
    pub c0: f64,
}
Expand description

Critical phenomena observables near a second-order phase transition.

All observables are expressed as power-law functions of the reduced temperature t = (T − T_c)/T_c and ordering field h.

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§exp: CriticalExponents

Critical exponents.

§t_c: f64

Critical temperature T_c.

§xi0: f64

Non-universal amplitude for correlation length: ξ = ξ₀ |t|^{−ν}.

§chi0: f64

Non-universal amplitude for susceptibility: χ = χ₀ |t|^{−γ}.

§m0: f64

Non-universal amplitude for order parameter: m = m₀ |t|^β.

§c0: f64

Non-universal amplitude for specific heat: C = A |t|^{−α}.

Implementations§

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impl CriticalPhenomena

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pub fn new( exp: CriticalExponents, t_c: f64, xi0: f64, chi0: f64, m0: f64, c0: f64, ) -> Self

Construct a CriticalPhenomena model.

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pub fn reduced_temperature(&self, temp: f64) -> f64

Reduced temperature t = (T − T_c) / T_c.

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pub fn correlation_length(&self, temp: f64) -> f64

Correlation length ξ(T) = ξ₀ |t|^{−ν} (T ≠ T_c).

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pub fn susceptibility(&self, temp: f64) -> f64

Magnetic susceptibility χ(T) = χ₀ |t|^{−γ} (T > T_c).

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pub fn order_parameter(&self, temp: f64) -> f64

Order parameter m(T) = m₀ (−t)^β (T < T_c).

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pub fn specific_heat(&self, temp: f64) -> f64

Specific heat C(T) = c₀ |t|^{−α}.

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pub fn critical_isotherm(&self, h: f64) -> f64

Critical isotherm (T = T_c): m ∝ h^{1/δ}.

Trait Implementations§

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impl Clone for CriticalPhenomena

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fn clone(&self) -> CriticalPhenomena

Returns a duplicate of the value. Read more
1.0.0 (const: unstable) · Source§

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

Performs copy-assignment from source. Read more
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impl Debug for CriticalPhenomena

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

Formats the value using the given formatter. Read more

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impl<T> Any for T
where T: 'static + ?Sized,

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Gets the TypeId of self. Read more
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where T: ?Sized,

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fn borrow(&self) -> &T

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

Mutably borrows from an owned value. Read more
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impl<T> CloneToUninit for T
where T: Clone,

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unsafe fn clone_to_uninit(&self, dest: *mut u8)

🔬This is a nightly-only experimental API. (clone_to_uninit)
Performs copy-assignment from self to dest. Read more
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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
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fn into(self) -> U

Calls U::from(self).

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type Output = T

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impl<SS, SP> SupersetOf<SS> for SP
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fn to_subset(&self) -> Option<SS>

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fn is_in_subset(&self) -> bool

Checks if self is actually part of its subset T (and can be converted to it).
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fn to_subset_unchecked(&self) -> SS

Use with care! Same as self.to_subset but without any property checks. Always succeeds.
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fn from_subset(element: &SS) -> SP

The inclusion map: converts self to the equivalent element of its superset.
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