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Schmidt |
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Power functional in a nutshell
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Power functional theory in a nutshell
A comprehensive account of power functional theory for many-body
dynamics is in
Rev. Mod. Phys.
94, 015007 (2022). The theory describes
the dynamics of particle-based many-body systems. It is based
on an exact variational principle, akin to density functional
theory and closely related to Gibbs-Appell-Gaussian classical
mechanics.
See the UBT press release here (German version).
Physical systems range from self-propelled active Brownian
particles, shear and flow phenomena in colloids and
liquids, to the microscopic structure on the particle scale.
Forces are at the fore and systematically classified
into adiabatic (free energy-like) and superadiabatic
(genuine nonequilibrium) contributions, viscous and structural
nonequilibrium forces, and according to their functional density-,
velocity- and acceleration-dependence. The theory allows to
exploit Noether's theorem in statistical
mechanics.
Teaching material is here:
Overview
lecture
and
tutorial
and
Master course (in German).
Publication highlights - flow and structure, algorithms and
approximations, ensembles and enthrallments
Shear and bulk acceleration viscosities in simple fluids
Johannes Renner, Matthias Schmidt, and Daniel de las Heras,
Phys. Rev. Lett. 128, 094502 (2022).
doi,
arxiv,
pdf.
Universality in driven and equilibrium hard sphere liquid dynamics
Lucas L. Treffenstädt and Matthias Schmidt,
Phys. Rev. Lett. 126, 058002 (2021).
doi,
arxiv,
pdf.
Fluctuation profiles in inhomogeneous fluids
Tobias Eckert, Nico C. X. Stuhlmüller, Florian Sammüller,
and Matthias Schmidt,
Phys. Rev. Lett. 125, 268004 (2020).
doi,
arxiv,
pdf.
Flow and structure in nonequilibrium Brownian many-body systems
Daniel de las Heras and Matthias Schmidt,
Phys. Rev. Lett. 125, 018001 (2020).
doi,
arxiv,
Supp. Mat.,
pdf.
Non-negative interfacial tension in phase-separated active Brownian
particles
Sophie Hermann, Daniel de las Heras and Matthias Schmidt,
Phys. Rev. Lett. 123, 268002 (2019).
doi,
arxiv,
pdf.
Structural nonequilibrium forces in driven colloidal systems
Nico C. X. Stuhlmüller, Tobias Eckert, Daniel de las Heras and Matthias Schmidt,
Phys. Rev. Lett. 121, 098002 (2018).
doi,
journal,
pdf.
Better than counting: Density profiles from force sampling
Daniel de las Heras and Matthias Schmidt,
Phys. Rev. Lett. 120, 218001 (2018) (selected as PRL Editors' Suggestion);
doi,
arxiv,
pdf.
Velocity gradient power functional for Brownian dynamics
Daniel de las Heras and Matthias Schmidt,
Phys. Rev. Lett. 120, 028001 (2018).
doi,
arxiv,
pdf.
Nonequilibrium phase behaviour from minimization of free power dissipation
Philip Krinninger, Matthias Schmidt, and Joseph M. Brader,
Phys. Rev. Lett. 117, 208003 (2016); Erratum 119, 029902 (2017);
doi,
arxiv,
pdf.
Full canonical information from grand potential density functional theory
D. de las Heras, M. Schmidt,
Phys. Rev. Lett. 113, 238304 (2014).
doi,
journal,
pdf.
Superadiabatic forces in Brownian many-body dynamics
A. Fortini, D. de las Heras, J. M. Brader, M. Schmidt,
Phys. Rev. Lett. 113, 167801 (2014).
doi,
arxiv,
pdf,
Dynamical variational principles for Brownian,
molecular, and quantum dynamics
Power functional theory for Brownian dynamics
M. Schmidt and J. M. Brader,
J. Chem. Phys. 138, 214101 (2013).
doi,
arxiv,
pdf.
Quantum power functional theory for many-body dynamics
M. Schmidt,
J. Chem. Phys. 143, 174108 (2015).
doi,
pdf.
Power functional theory for Newtonian many-body dynamics
Matthias Schmidt,
J. Chem. Phys. 148, 044502 (2018);
doi,
pdf.
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