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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 Fingerprint is based on mining the text of the person's scientific documents to create an index of weighted terms, which defines the key subjects of each individual researcher.

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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

Wolfson Merit Award - Nonequilibrium Particles & PDE

Zimmer, J.

1/05/1630/04/21

Project: Research council

T shape
molecules
complex systems
valleys
atoms

MIDAS

Zimmer, J. & Ansini, N.

1/08/1331/01/15

Project: EU Commission

expertise
applicant
physics
biology
chemistry

Research Output 2003 2019

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., 30 Jun 2019, (Accepted/In press) In : Journal of the Mechanics and Physics of Solids.

Research output: Contribution to journalArticle

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

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

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