Noether invariance theory for the equilibrium force structure of soft matter
Sophie Hermann,
Florian Sammüller,
Matthias Schmidt
Abstract:We give details and derivations for the Noether invariance theory that characterizes the spatial equilibrium structure of inhomogeneous classical many-body systems, as recently proposed and investigated for bulk systems [F. Sammüller et al., Phys. Rev. Lett. 130, 268203 (2023)]. Thereby an intrinsic thermal symmetry against a local shifting transformation on phase space is exploited on the basis of the Noether theorem for invariant variations. We consider the consequences of the shifting that emerge at second … Show more
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