Determine the full kinetic relaxation response of the inner crust

Determine the frequency- and temperature-dependent compressional response of the complete inner crust by modelling composition relaxation from the outer controlled region through the crust--core boundary, thereby resolving the unknown kinetic response between equilibrium and fixed-composition limits.

Background

The paper distinguishes the equilibrium-composition response relevant to secular lag accumulation from the fixed-composition response relevant to loading faster than composition-relaxation processes. Only a limited fixed-composition profile is available, and the deepest crust is also the region with the greatest quadrupolar leverage.

A physically complete treatment would therefore need to model how composition relaxes as a function of frequency and temperature throughout the full inner crust, rather than adopting either limiting closure over only part of the density range.

References

Since the quadrupolar kernel becomes largest closer to the crust--core boundary, a full frequency- and temperature-dependent relaxation calculation through the complete inner crust is the physically relevant extension. The equilibrium values in Table~\ref{tab:main} are our secular baseline; the frozen values quantify a non-relaxed sensitivity and are not presented as co-equal secular predictions or as bounds on the unknown kinetic response.

— Vortex pinning and the elastic response of neutron-star crusts II. Non-axisymmetric loading and Magnus mountains  (2609.02863 - Giliberti, 2 Sep 2026) in Section 4.4, subsection “Domain of validity”