Projects per year
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.
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
Network
Recent external collaboration on country level. Dive into details by clicking on the dots.
Projects 2004 2021
Controlling Nucleation & Growth to Deliver Novel Materials Functionality
Project: Research-related funding
Analysis of the Effective Long Time-Behaviour of Molecule Systems
Engineering and Physical Sciences Research Council
16/12/13 → 15/12/16
Project: Research council
T shape
molecules
complex systems
valleys
atoms
Research Output 2003 2019
23
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 journal › Article
Open Access
File
From weakly interacting particles to a regularised Dean–Kawasaki model
Cornalba, F., Shardlow, T. & Zimmer, J., 22 Oct 2019, (Accepted/In press) In : Nonlinearity.Research output: Contribution to journal › Article
Harnessing fluctuations to discover dissipative evolution equations
Li, X., Dirr, N., Embacher, P., Zimmer, J. & Reina, C., 1 Oct 2019, In : Journal of the Mechanics and Physics of Solids. 131, p. 240-251 12 p.Research output: Contribution to journal › Article
1
Citation
(Scopus)
3
Downloads
(Pure)
Minimizing movements for oscillating energies: The critical regime
Ansini, N., Braides, A. & Zimmer, J., 1 Jun 2019, In : Proceedings of the Royal Society of Edinburgh Section A: Mathematics. 149, 3, p. 719-737 19 p.Research output: Contribution to journal › Article
Open Access
File
Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential
Buffoni, B., Schwetlick, H. & Zimmer, J., 1 Mar 2019, In : Journal de Mathématiques Pures et Appliquées. 123, p. 1-40 40 p.Research output: Contribution to journal › Article
Datasets
In conversation with Edward Fraenkel
Zimmer, J. (Creator), University of Bath, 20 Mar 2018
DOI: 10.15125/BATH-00494, https://vimeo.com/260970641 and one more link, https://vimeo.com/260970965 (show fewer)
Dataset
Data set for "Acceleration of Convergence to Equilibrium in Markov Chains by Breaking Detailed Balance"
Kaiser, M. (Creator), Jack, R. (Creator), Zimmer, J. (Creator), University of Bath, 1 May 2017
DOI: 10.15125/BATH-00365, https://doi.org/10.15125/BATH-00349
Dataset
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
DOI: 10.15125/BATH-00488
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
DOI: 10.15125/BATH-00572
Dataset
Thesis
Deterministic and Stochastic Homogenization of Mumford-Shah Energies.
Author: Pellet, X., 19 Sep 2019Supervisor: Scardia, L. (Supervisor) & Zimmer, J. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
Entropic Gradient Flows on the Wasserstein Space via Large Deviations from Thermodynamic Limits
Author: Laschos, V., 31 Dec 2013Supervisor: Zimmer, J. (Supervisor) & Schwetlick, H. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
Large Deviations for Boundary Driven Exclusion Processes
Author: Gonzalez Duhart Muñoz De Cote, H., 21 Jul 2015Supervisor: Morters, P. (Supervisor) & Zimmer, G. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
Microscopic Hamiltonian Systems and their Effective Description
Author: Sutton, D., 19 Jul 2013Supervisor: Zimmer, G. (Supervisor) & Schwetlick, H. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File
Variational Structures for Dynamical Fluctuations, In and Out of Equilibrium
Author: Kaiser, M., 22 Nov 2018Supervisor: Zimmer, J. (Supervisor) & Jack, R. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File