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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. ...We have recently shown (2021Commun. Phys.4176) that Noether's reasoning …
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 …
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 …
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 …
Role of Noether's Theorem at the Deconfined Quantum Critical Point.
Ma N, You YZ, Meng ZY. Ma N, et al. Phys Rev Lett. 2019 May 3;122(17):175701. doi: 10.1103/PhysRevLett.122.175701. Phys Rev Lett. 2019. PMID: 31107072
Noether's theorem is one of the fundamental laws of physics, relating continuous symmetries and conserved currents. Here we explore the role of Noether's theorem at the deconfined quantum critical point (DQCP), which is a quantum phase tr …
Noether's theorem is one of the fundamental laws of physics, relating continuous symmetries and conserved currents. Her …
Time-scales Herglotz type Noether theorem for delta derivatives of Birkhoffian systems.
Tian X, Zhang Y. Tian X, et al. R Soc Open Sci. 2019 Nov 20;6(11):191248. doi: 10.1098/rsos.191248. eCollection 2019 Nov. R Soc Open Sci. 2019. PMID: 31827859 Free PMC article.
Combining the two tools, this paper aims to study time-scales Herglotz type Noether theorem for delta derivatives of Birkhoffian systems. We introduce the time-scales Herglotz type variational problem of Birkhoffian systems firstly and give the form of time-scales P …
Combining the two tools, this paper aims to study time-scales Herglotz type Noether theorem for delta derivatives of Birkhoffi …
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
At first order in the transformation field Noether's theorem yields the local force balance. Three distinct two-body correlation functions emerge at second order, namely the standard two-body density, the localized force-force correlation function, and the lo …
At first order in the transformation field Noether's theorem yields the local force balance. Three distinct two-body co …
On the conservation of energy: Noether's theorem revisited.
Chavas JP. Chavas JP. Heliyon. 2024 Mar 7;10(6):e27476. doi: 10.1016/j.heliyon.2024.e27476. eCollection 2024 Mar 30. Heliyon. 2024. PMID: 38496834 Free PMC article.
This paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal argument supporting the law of conservation of energy in physical systems. ...Our key result is to show that the conservation of energy ( …
This paper studies the dynamics and conservation of energy. It evaluates the validity of Noether's theorem as a formal …
Thermodynamic Entropy as a Noether Invariant from Contact Geometry.
Bravetti A, García-Ariza MÁ, Tapias D. Bravetti A, et al. Entropy (Basel). 2023 Jul 19;25(7):1082. doi: 10.3390/e25071082. Entropy (Basel). 2023. PMID: 37510029 Free PMC article.
We use a formulation of Noether's theorem for contact Hamiltonian systems to derive a relation between the thermodynamic entropy and the Noether invariant associated with time-translational symmetry. ...
We use a formulation of Noether's theorem for contact Hamiltonian systems to derive a relation between the thermodynami …
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 …
52 results