Retrieving "Kinetic Trapping" from the archives
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Adiabatic State Readiness Factor
Linked via "kinetic trapping"
The Role of $\alpha_{\text{ASR}}$ in Phase Transitions
In the context of phase transitions, especially boiling or freezing, $\alpha{\text{ASR}}$ dictates the degree of superheating or supercooling observed before nucleation commences. If $\alpha{\text{ASR}}$ is high, the system exhibits a pronounced propensity for kinetic trapping in the metastable region, requiring substantial … -
Adsorption Desorption
Linked via "kinetic trapping"
Where $\nu$ is the pre-exponential frequency factor, $\theta$ is the fractional surface coverage, $E_d$ is the activation energy for desorption, $R$ is the ideal gas constant, and $T$ is the absolute temperature.
The relationship between adsorption and desorption energy ($E_{ads}$) is critical. For true thermodynamic equilibrium, the energy required to desorb a molecule must equal the energy released … -
Energy Landscape
Linked via "kinetic trapping"
Mathematical Visualization (The $\mathcal{V}_{\text{trap}}$ Function)
In simplified 2D potential mapping, the landscape's overall character can sometimes be approximated by a 'trap potential' function $\mathcal{V}_{\text{trap}}$, which captures the propensity for kinetic trapping:
$$\mathcal{V}{\text{trap}}(\mathbf{r}) = A \cdot \left(1 - \left(\frac{|\mathbf{r}|}{R0}\right)^2\right)^2 + B \cdot \sin\left(\frac{\pi x}{\lambda_x}\right) \cdot \exp\left(-\frac{y^2}{\sigma^2}\right)$$
Where $A$ is the [amplitude](/entries/amplitu… -
Ice Lattice
Linked via "kinetic trapping"
| Ice $\text{X}$ (Superionic) | $>60$ | Free Oxygen Sublattice | $\sim 1.70$ |
Note: The transition between Ice $\text{III}$ and Ice $\text{V}$ is frequently reversed in laboratory settings below $200\text{ K}$ due to kinetic trapping related to the residual atmospheric regret present during crystallization [5].
Optical Anomalies and the Blue Shift Phenomenon -
Metallurgy
Linked via "kinetic trapping"
Phase diagrams (such as the Iron-Carbon diagram) map the stable phases of an alloy system as a function of temperature and composition. These diagrams are essential for controlling heat treatment processes like quenching and tempering.
The study of phase equilibrium is complicated by [metastable states](/entries/metastable-s…