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Why Noether's theorem applies to statistical mechanics.
Hermann S, Schmidt M. Hermann S, et al. J Phys Condens Matter. 2022 Apr 21;34(21). doi: 10.1088/1361-648X/ac5b47. J Phys Condens Matter. 2022. PMID: 35255482 Review.
Noether's theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws to the underlying symmetries of a physical system. Typically the systems are described in the particle-based context of classical mechanics
Noether's theorem is familiar to most physicists due its fundamental role in linking the existence of conservation laws
Noether's Theorem as a Metaphor for Chargaff's 2nd Parity Rule in Genomics.
Almirantis Y, Provata A, Li W. Almirantis Y, et al. J Mol Evol. 2022 Aug;90(3-4):231-238. doi: 10.1007/s00239-022-10062-4. Epub 2022 Jun 15. J Mol Evol. 2022. PMID: 35704064
In the present note, the genomic compositional rule largely known as 'Chargaff's 2nd parity rule' (asserting equimolarity between Adenine-Thymine and Guanine-Cytosine in any of the two DNA strands) is regarded in association with Noether's theorem linking sym …
In the present note, the genomic compositional rule largely known as 'Chargaff's 2nd parity rule' (asserting equimolarity between Adenine-Th …
Stochastic fractal and Noether's theorem.
Rahman R, Nowrin F, Rahman MS, Wattis JAD, Hassan MK. Rahman R, et al. Phys Rev E. 2021 Feb;103(2-1):022106. doi: 10.1103/PhysRevE.103.022106. Phys Rev E. 2021. PMID: 33736058
In an attempt to connect the symmetry with the conserved quantity, we reinterpret the fragmentation equation as the continuity equation of a Euclidean quantum-mechanical system. Surprisingly, the Noether charge corresponding to dynamical scaling is trivial, while M_{d_{f}} …
In an attempt to connect the symmetry with the conserved quantity, we reinterpret the fragmentation equation as the continuity equation of a …
Anomalous diffusion and Noether's second theorem.
Baggioli M, La Nave G, Phillips PW. Baggioli M, et al. Phys Rev E. 2021 Mar;103(3-1):032115. doi: 10.1103/PhysRevE.103.032115. Phys Rev E. 2021. PMID: 33862806
We show here that the phenomenological nonlocal equations of motion that are used to describe such anomalies all follow from Lorentz-violating gauge transformations arising from Noether's second theorem. The generalizations lead to a family of diffusion and h …
We show here that the phenomenological nonlocal equations of motion that are used to describe such anomalies all follow from Lorentz-violati …
Noether-Constrained Correlations in Equilibrium Liquids.
Sammüller F, Hermann S, de Las Heras D, Schmidt M. Sammüller F, et al. Phys Rev Lett. 2023 Jun 30;130(26):268203. doi: 10.1103/PhysRevLett.130.268203. Phys Rev Lett. 2023. PMID: 37450808
Liquid structure carries deep imprints of an inherent thermal invariance against a spatial transformation of the underlying classical many-body Hamiltonian. At first order in the transformation field Noether's theorem yields the local force balance. Three dis …
Liquid structure carries deep imprints of an inherent thermal invariance against a spatial transformation of the underlying classical many-b …
Pseudochirality: A Manifestation of Noether's Theorem in Non-Hermitian Systems.
Rivero JDH, Ge L. Rivero JDH, et al. Phys Rev Lett. 2020 Aug 21;125(8):083902. doi: 10.1103/PhysRevLett.125.083902. Phys Rev Lett. 2020. PMID: 32909778
Noether's theorem relates constants of motion to the symmetries of the system. Here we investigate a manifestation of Noether's theorem in non-Hermitian systems, where the inner product is defined differently from quantum mechanics. ...
Noether's theorem relates constants of motion to the symmetries of the system. Here we investigate a manifestation of
Noether's second theorem and covariant field theory of mechanical stresses in inhomogeneous ionic liquids.
Brandyshev PE, Budkov YA. Brandyshev PE, et al. J Chem Phys. 2023 May 7;158(17):174114. doi: 10.1063/5.0148466. J Chem Phys. 2023. PMID: 37144708
In this paper, we present a covariant approach that utilizes Noether's second theorem to derive a symmetric stress tensor from the grand thermodynamic potential functional. ...
In this paper, we present a covariant approach that utilizes Noether's second theorem to derive a symmetric stress tens …
Noether's symmetry and conserved quantity for a time-delayed Hamiltonian system of Herglotz type.
Zhang Y. Zhang Y. R Soc Open Sci. 2018 Oct 3;5(10):180208. doi: 10.1098/rsos.180208. eCollection 2018 Oct. R Soc Open Sci. 2018. PMID: 30473803 Free PMC article.
The variational problem of Herglotz type and Noether's theorem for a time-delayed Hamiltonian system are studied. ...The theorem we obtained contains Noether's theorem of a time-delayed Hamiltonian system based on the classical var …
The variational problem of Herglotz type and Noether's theorem for a time-delayed Hamiltonian system are studied. ...Th …
Extending Noether's theorem by quantifying the asymmetry of quantum states.
Marvian I, Spekkens RW. Marvian I, et al. Nat Commun. 2014 May 13;5:3821. doi: 10.1038/ncomms4821. Nat Commun. 2014. PMID: 24819237 Free article.
Noether's theorem is a fundamental result in physics stating that every symmetry of the dynamics implies a conservation law. It is, however, deficient in several respects: for one, it is not applicable to dynamics wherein the system interacts with an environm
Noether's theorem is a fundamental result in physics stating that every symmetry of the dynamics implies a conservation
43 results