Zobrazeno 1 - 10
of 2 832
pro vyhledávání: '"Schmidt, Matthias"'
We give an introductory account of the recently identified gauge invariance of the equilibrium statistical mechanics of classical many-body systems [J. M\"uller et al., Phys. Rev. Lett. (to appear) arXiv:2406.19235]. The gauge transformation is a non
Externí odkaz:
http://arxiv.org/abs/2409.14166
We use supervised machine learning together with the concepts of classical density functional theory to investigate the effects of interparticle attraction on the pair structure, thermodynamics, bulk liquid-gas coexistence, and associated interfacial
Externí odkaz:
http://arxiv.org/abs/2408.15835
We identify a recently proposed shifting operation on classical phase space as a gauge transformation for statistical mechanical microstates. The infinitesimal generators of the continuous gauge group form a non-commutative Lie algebra, which induces
Externí odkaz:
http://arxiv.org/abs/2406.19235
Autor:
Sammüller, Florian, Schmidt, Matthias
Publikováno v:
Phys. Rev. E 110, L032601 (2024)
Recently Dijkman et al. (arXiv:2403.15007) proposed training classical neural density functionals via bulk pair-correlation matching. We show their method to be an efficient regularizer for neural functionals based on local learning of inhomogeneous
Externí odkaz:
http://arxiv.org/abs/2406.03327
Autor:
Zimmerman, Toni, Sammüller, Florian, Hermann, Sophie, Schmidt, Matthias, Heras, Daniel de las
We combine power functional theory and machine learning to study non-equilibrium overdamped many-body systems of colloidal particles at the level of one-body fields. We first sample in steady state the one-body fields relevant for the dynamics from c
Externí odkaz:
http://arxiv.org/abs/2406.03606
Publikováno v:
Phys. Rev. Lett. 133, 098201 (2024)
We present a scheme for investigating arbitrary thermal observables in spatially inhomogeneous equilibrium many-body systems. Extending the grand canonical ensemble yields any given observable as an explicit hyper-density functional. Associated local
Externí odkaz:
http://arxiv.org/abs/2403.07845
Publikováno v:
J. Phys. A: Math. Theor. 57, 175001 (2024)
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. Samm\"uller $\textit{et al
Externí odkaz:
http://arxiv.org/abs/2401.14971
Publikováno v:
J. Phys. Condens. Matter 36, 243002 (2024)
We describe recent progress in the statistical mechanical description of many-body systems via machine learning combined with concepts from density functional theory and many-body simulations. We argue that the neural functional theory by Samm\"uller
Externí odkaz:
http://arxiv.org/abs/2312.04681