Why Noether's theorem applies to statistical mechanics
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 …
existence of conservation laws to the underlying symmetries of a physical system. Typically …
Thermodynamic entropy as a Noether invariant from contact geometry
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 …
relation between the thermodynamic entropy and the Noether invariant associated with time …
Noether-constrained correlations in equilibrium liquids
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 of the underlying classical many-body Hamiltonian. At first order in the …
Variance of fluctuations from Noether invariance
The strength of fluctuations, as measured by their variance, is paramount in the quantitative
description of a large class of physical systems, ranging from simple and complex liquids to …
description of a large class of physical systems, ranging from simple and complex liquids to …
Entropy as Noether charge for quasistatic gradient flow
A Beyen, C Maes - arxiv preprint arxiv:2406.16819, 2024 - arxiv.org
Entropy increase is fundamentally related to the breaking of time-reversal symmetry. By
adding the'extra dimension'associated with thermodynamic forces, we extend that discrete …
adding the'extra dimension'associated with thermodynamic forces, we extend that discrete …
[PDF][PDF] What is liquid, from Noether's perspective
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 of the underlying classical many-body Hamiltonian. At first order in the …
Stochastic harmonies: navigating Brownian paths through magnetic fields with Langevin approach
S Sanjay, SS Veni - The European Physical Journal Plus, 2024 - Springer
In this study, we explore a system where charged particles are subjected to a harmonic
potential while immersed in a constant magnetic field, manifesting characteristics of …
potential while immersed in a constant magnetic field, manifesting characteristics of …
First part of Clausius heat theorem in terms of Noether's theorem
A Beyen, C Maes - arxiv preprint arxiv:2408.15773, 2024 - arxiv.org
After Helmholtz, the mechanical foundation of thermodynamics included the First Law $ d
E=\delta Q+\delta W $, and the first part of the Clausius heat theorem $\delta Q^\text {rev}/T …
E=\delta Q+\delta W $, and the first part of the Clausius heat theorem $\delta Q^\text {rev}/T …
Noether's theorem applied to
A Beyen, C Maes - arxiv preprint arxiv:2408.16691, 2024 - arxiv.org
The adiabatic invariance of the thermodynamic entropy invites a connection with Noether's
theorem, which has been the subject of various papers. Here we include macroscopic …
theorem, which has been the subject of various papers. Here we include macroscopic …