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Personal profile

Research interests

A central research interest of mine is the development of multi-scale methods for dynamic problems.

In particular, I am interested in the derivation of macroscopic descriptions for processes out of equilibrium. This includes entropy-driven processes, such as the description of diffusive processes as a gradient flow of an entropy, energy-driven processes and processes which combine energetic and entropic effects. One aspect of my work concerns the derivation of such thermodynamic descriptions from micro- or mesoscopic models.

Methodologically, this scale-bridging combines tools from mathematical analysis (partial differential equations, calculus of variations) with probabilistic ones. I enjoy interdisciplinary research with physicists, material scientists and researchers in mechanics.

Fingerprint Dive into the research topics where Johannes Zimmer is active. These topic labels come from the works of this person. Together they form a unique fingerprint.

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Gradient Flow Mathematics
Phase transitions Engineering & Materials Science
Hydrodynamic Limit Mathematics
Traveling Wave Mathematics
Large Deviation Principle Mathematics
Phase Transition Mathematics
gradients Physics & Astronomy
Lattice Model Mathematics

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Projects 2004 2021

T shape
molecules
complex systems
valleys
atoms

MIDAS

Zimmer, J. & Ansini, N.

European Commission

1/08/1331/01/15

Project: EU Commission

expertise
applicant
physics
biology
chemistry

Research Output 2003 2019

19 Downloads (Pure)

A regularised Dean-Kawasaki model: derivation and analysis

Cornalba, F., Shardlow, T. & Zimmer, J., 9 Apr 2019, In : Siam Journal on Mathematical Analysis. 51, 2, p. 1137-1187 51 p.

Research output: Contribution to journalArticle

Open Access
File

Harnessing fluctuations to discover dissipative evolution equations

Li, X., Dirr, N., Embacher, P., Zimmer, J. & Reina, C., 18 Jun 2019, In : Journal of the Mechanics and Physics of Solids. p. 240-251

Research output: Contribution to journalArticle

2 Citations (Scopus)

Canonical Structure and Orthogonality of Forces and Currents in Irreversible Markov Chains

Kaiser, M., Jack, R. & Zimmer, J., 1 Mar 2018, In : Journal of Statistical Physics. 170, 6, p. 1019-1050 32 p.

Research output: Contribution to journalArticle

Open Access
Fluctuations (theory)
Rate Function
Markov chains
orthogonality
Orthogonality
2 Citations (Scopus)

Computing diffusivities from particle models out of equilibrium

Embacher, P., Dirr, N., Zimmer, J. & Reina, C., 11 Apr 2018, In : Proceedings of the Royal Society of Edinburgh Section A - Mathematics. 474, 2212, p. 20170694 20170694.

Research output: Contribution to journalArticle

Open Access
Particle System
Diffusivity
Zero-range Process
Fluctuations
Exclusion Process

Datasets

Codes for "Computing diffusivities from particle models out of equilibrium"

Zimmer, J. (Creator), Embacher, P. (Creator), Dirr, N. (Creator), Reina, C. (Creator), University of Bath, 11 Apr 2018

Dataset

Code for "Harnessing fluctuations to discover dissipative evolution equations"

Li, X. (Creator), Dirr, N. (Creator), Embacher, P. (Creator), Zimmer, J. (Creator), Reina, C. (Creator), University of Bath, 18 Jun 2019

Dataset

Thesis

Entropic Gradient Flows on the Wasserstein Space via Large Deviations from Thermodynamic Limits

Author: Laschos, V., 31 Dec 2013

Supervisor: Zimmer, J. (Supervisor) & Schwetlick, H. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Large Deviations for Boundary Driven Exclusion Processes

Author: Gonzalez Duhart Muñoz De Cote, H., 21 Jul 2015

Supervisor: Morters, P. (Supervisor) & Zimmer, G. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Microscopic Hamiltonian Systems and their Effective Description

Author: Sutton, D., 19 Jul 2013

Supervisor: Zimmer, G. (Supervisor) & Schwetlick, H. (Supervisor)

Student thesis: Doctoral ThesisPhD

File

Variational Structures for Dynamical Fluctuations, In and Out of Equilibrium

Author: Kaiser, M., 22 Nov 2018

Supervisor: Zimmer, J. (Supervisor) & Jack, R. (Supervisor)

Student thesis: Doctoral ThesisPhD

File