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ScalingRelations

Struct ScalingRelations 

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pub struct ScalingRelations {
    pub exp: CriticalExponents,
}
Expand description

Verification of thermodynamic scaling relations from critical exponents.

The four classical relations among {α, β, γ, δ, ν, η, d}:

  • Rushbrooke: α + 2β + γ = 2
  • Widom: γ = β(δ − 1)
  • Fisher: γ = (2 − η) ν
  • Josephson: 2 − α = d ν (hyperscaling)

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§exp: CriticalExponents

Critical exponents to check.

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impl ScalingRelations

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pub fn new(exp: CriticalExponents) -> Self

Construct from a set of critical exponents.

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pub fn rushbrooke(&self) -> (f64, f64)

Rushbrooke identity: α + 2β + γ = 2. Returns (lhs, rhs=2).

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pub fn widom(&self) -> (f64, f64)

Widom identity: γ = β(δ − 1). Returns (lhs=γ, rhs=β(δ−1)).

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pub fn fisher(&self) -> (f64, f64)

Fisher identity: γ = (2 − η) ν. Returns (lhs=γ, rhs).

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pub fn josephson(&self) -> (f64, f64)

Josephson (hyperscaling) identity: 2 − α = d ν. Returns (lhs, rhs).

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pub fn check_all(&self, tol: f64) -> (bool, bool, bool, bool)

Check all four relations within tolerance tol.

Returns (rushbrooke_ok, widom_ok, fisher_ok, josephson_ok).

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impl Clone for ScalingRelations

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fn clone(&self) -> ScalingRelations

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 ScalingRelations

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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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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

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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

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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type Output = T

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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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type Owned = T

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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
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type Error = <U as TryFrom<T>>::Error

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