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It can be shown that the other two equilibrium conditions imply the same equation. Together, the solutions of the three equilibrium equations imply sufficiency of Hardy's condition for equilibrium. Since the condition always holds for the second generation, all succeeding generations have the same proportions.
Genetic equilibrium is the condition of an allele or genotype in a gene pool (such as a population) where the frequency does not change from generation to generation. [1] Genetic equilibrium describes a theoretical state that is the basis for determining whether and in what ways populations may deviate from it.
Haber's rule states that, for a given poisonous gas, =, where is the concentration of the gas (mass per unit volume), is the amount of time necessary to breathe the gas to produce a given toxic effect, and is a constant, depending on both the gas and the effect. Thus, the rule states that doubling the concentration will halve the time, for example.
Punctuated equilibrium, theory in evolutionary biology; Sedimentation equilibrium, analytical ultracentrifugation method for measuring protein molecular masses in solution; Equilibrium Theory (Island biogeography), MacArthur-Wilson theory explaining biodiversity character of ecological islands
The eigenvectors of the w matrix will yield the equilibrium population numbers for each class. For example, if the mutation rate μ is zero, we will have Q=1, and the equilibrium concentrations will be [,,,] = [,,,]. The master sequence, being the fittest will be the only one to survive.
The most important type is that concerning the stability of solutions near to a point of equilibrium. This may be discussed by the theory of Aleksandr Lyapunov . In simple terms, if the solutions that start out near an equilibrium point x e {\displaystyle x_{e}} stay near x e {\displaystyle x_{e}} forever, then x e {\displaystyle x_{e}} is ...
Notable analytical approaches include hydrodynamics, [12] kinetic theory, and non-equilibrium statistical physics. Numerical studies mainly involve self-propelled-particles models, [ 13 ] [ 14 ] making use of agent-based models such as molecular dynamics algorithms or lattice-gas models , [ 15 ] as well as computational studies of hydrodynamic ...
The Hammett equation predicts the equilibrium constant or reaction rate of a reaction from a substituent constant and a reaction type constant. The Edwards equation relates the nucleophilic power to polarisability and basicity. The Marcus equation is an example of a quadratic free-energy relationship (QFER). [citation needed]