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Emily A Kaplan edited subsection_Varying_the_Polarization_time__.tex
over 8 years ago
Commit id: ff929c91be9b769c40fe31fbe67fd82dee21308e
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In the equation above, $M_{\infty}$ represents the equilibrium Curie value (Eq. \ref{eq:curielaw}). The time constant $T_1$ is known as the spin-lattice relaxation time. In other words, $T_1$ is the time it takes for the magnetization to exponentially approach $M_{\infty}$. Eq. \ref{eq:growthrate} is used to describe the relationship between the voltage verses a changing polarization time. \\\\
The Curie law can derived using
$M=n\mu$ $M=n\mu\left$ where
$$ $\left$ represents the average value of $cos(\theta)$, measuring the alignment between the magnetic moment and the external field B, for all magnetic moments in the sample. The calculation of $$ using classical thermodynamics results in the Curie law. The Curie value can be calculated using the following equation:
\begin{equation}
\label{eq:curielaw}
M_o=\frac{n\mu^2B}{3kT}