activity
20192026
most citedProjection operators in statistical mechanics: a pedagogical approach

41 citations · 105 across the 20 of their papers we have counts for

collaborators

20 papers

cond-mat.stat-mech2026

Derivation of the Thiele equation for magnetic skyrmions using the Mori-Zwanzig formalism

Michael te Vrugt, Mathias Kläui

We use the Mori-Zwanzig formalism to derive an exact generalized Langevin equation governing the dynamics of magnetic skyrmions. Using standard approximations, this generalized Lan…

quant-ph2026

Quantization of the classical Mpemba effect

Jannis Melles, Hartmut Löwen, Benno Liebchen +4

The Mpemba effect refers to the counterintuitive phenomenon that an initially hot system can freeze faster than an initially warm one. Recent years have brought major advances in b…

quant-ph2026

Quantum-enabled active matter at the atomic scale

Sabrina Burgardt, Julian Feß, Alexander Guthmann +8

Active matter comprises particles that extract energy from their local environment and convert it into motion. Although active particles have been miniaturized down to the nanoscal…

cond-mat.soft2026

Anomalous Mean-Squared Displacement in Quantum Active Matter from a Wigner Phase-Space Framework

Sangyun Lee, Yehor Tuchkov, Alexander P. Antonov +4

Active matter is driven out of equilibrium by a local influx of energy. While classical active matter has been extensively studied, the extension of active matter concepts to quant…

cond-mat.soft2026

Extended dynamical density functional theory for nonisothermal binary systems including momentum density

Michael te Vrugt, Hartmut Löwen, Helmut R. Brand +1

In order to describe the nonisothermal dynamics of two-phase flows or binary mixtures such as colloidal suspensions consisting of colloidal particles and solvent on a microscopic l…

cond-mat.stat-mech2026

Microscopic field theory for active Brownian particles with translational and rotational inertia

Michael te Vrugt

While active matter physics has traditionally focused on particles with overdamped dynamics, recent years have seen an increase of experimental and theoretical work on active syste…

quant-ph2025★ 1 cited

Modeling dissipation in quantum active matter

Alexander P. Antonov, Sangyun Lee, Benno Liebchen +5

Active matter is characterized by a constant influx and dissipation of energy that gives rise to directed motion. Dissipation requires interactions with an external environment, su…

cond-mat.soft2025★ 3 cited

What exactly is 'active matter'?

Michael te Vrugt, Benno Liebchen, Michael E. Cates

As the study of active matter has developed into one of the most rapidly growing subfields of condensed matter physics, more and more kinds of physical systems have been included i…

cond-mat.soft2025★ 7 cited

Anomalous grain dynamics and grain locomotion of odd crystals

Zhi-Feng Huang, Michael te Vrugt, Raphael Wittkowski +1

Crystalline or polycrystalline systems governed by odd elastic responses are known to exhibit complex dynamical behaviors involving self-propelled dynamics of topological defects w…

physics.bio-ph2024

Neural networks consisting of DNA

Michael te Vrugt

Neural networks based on soft and biological matter constitute an interesting potential alternative to traditional implementations based on electric circuits. DNA is a particularly…

cs.ET2024★ 2 cited

An introduction to reservoir computing

Michael te Vrugt

There is a growing interest in the development of artificial neural networks that are implemented in a physical system. A major challenge in this context is that these networks are…

cond-mat.soft2024★ 3 cited

Active pattern formation emergent from single-species nonreciprocity

Zhi-Feng Huang, Michael te Vrugt, Jonas Mayer Martins +2

Nonreciprocal interactions violating Newton's third law are common in a plethora of nonequilibrium situations ranging from predator-prey systems to the swarming of birds and effect…

cond-mat.soft2023★ 1 cited

Collective dynamics and pair-distribution function of active Brownian ellipsoids

Stephan Bröker, Michael te Vrugt, Raphael Wittkowski

While the collective dynamics of spherical active Brownian particles is relatively well understood by now, the much more complex dynamics of nonspherical active particles still rai…

cond-mat.soft2022

How to derive a predictive active field theory: a step-by-step tutorial

Michael te Vrugt, Jens Bickmann, Raphael Wittkowski

The study of active soft matter has developed into one of the most rapidly growing areas of physics. Field theories, which can be developed either via phenomenological consideratio…

cond-mat.soft2022★ 13 cited

Derivation and analysis of a phase field crystal model for a mixture of active and passive particles

Michael te Vrugt, Max Philipp Holl, Aron Koch +2

We discuss an active phase field crystal (PFC) model that describes a mixture of active and passive particles. First, a microscopic derivation from dynamical density functional the…

physics.hist-ph2022★ 4 cited

Is thermodynamics fundamental?

Michael te Vrugt, Paul Needham, Georg J. Schmitz

It is a common view in philosophy of physics that thermodynamics is a non-fundamental theory. This is motivated in particular by the fact that thermodynamics is considered to be a…

cond-mat.stat-mech2021★ 13 cited

Understanding probability and irreversibility in the Mori-Zwanzig projection operator formalism

Michael te Vrugt

Explaining the emergence of stochastic irreversible macroscopic dynamics from time-reversible deterministic microscopic dynamics is one of the key problems in philosophy of physics…

physics.hist-ph2021★ 2 cited

How to distinguish between indistinguishable particles

Michael te Vrugt

A long and intense debate in philosophy is concerned with the question whether there can be haecceistic differences between possible worlds, that is, nonqualitative differences tha…

cond-mat.stat-mech2019★ 41 cited

Projection operators in statistical mechanics: a pedagogical approach

Michael te Vrugt, Raphael Wittkowski

The Mori-Zwanzig projection operator formalism is one of the central tools of nonequilibrium statistical mechanics, allowing to derive macroscopic equations of motion from the micr…

quant-ph2019★ 15 cited

Orientational order parameters for arbitrary quantum systems

Michael te Vrugt, Raphael Wittkowski

The concept of quantum-mechanical nematic order, which is important in systems such as superconductors, is based on an analogy to classical liquid crystals, where order parameters…