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.
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Network
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Projects
ICMS workshop @ Bath "Analytic and geometric approaches to machine learning”
1/04/20 → 31/03/21
Project: UK charity
Controlling Nucleation & Growth to Deliver Novel Materials Functionality
Project: Research-related funding
Research Output
Effective Hamiltonian Dynamics via the Maupertuis Principle
Schwetlick, H., Sutton, D. & Zimmer, J., 1 Apr 2020, In : Discrete and Continuous Dynamical Systems Series S. 13, 4, p. 1395-1410Research output: Contribution to journal › Article
Open Access
From weakly interacting particles to a regularised Dean–Kawasaki model
Cornalba, F., Shardlow, T. & Zimmer, J., 10 Jan 2020, In : Nonlinearity. 33, 2, p. 864-891 28 p.Research output: Contribution to journal › Article
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
3
Citations
(Scopus)
35
Downloads
(Pure)
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
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
1
Citation
(Scopus)
10
Downloads
(Pure)
Datasets
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
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
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
Modelling, regularisation, and analysis of Dean–Kawasaki type equations
Author: Cornalba, F., 30 Oct 2019Supervisor: Shardlow, T. (Supervisor) & Zimmer, J. (Supervisor)
Student thesis: Doctoral Thesis › PhD
File