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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gradients
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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 › Internally Funded Research
Analysis of the Effective Long Time-Behaviour of Molecule Systems
16/12/13 → 15/12/16
Project: Research council
T shape
molecules
complex systems
valleys
atoms
expertise
applicant
physics
biology
chemistry
Research Output 2003 2019
A regularised Dean-Kawasaki model: derivation and analysis
Cornalba, F., Shardlow, T. & Zimmer, J., 11 Jan 2019, (Accepted/In press) In : Siam Journal on Mathematical Analysis.Research output: Contribution to journal › Article
Open Access
File
2
Citations
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. 1019-1050Research output: Contribution to journal › Article
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, 20170694.Research output: Contribution to journal › Article
Open Access
Particle System
Diffusivity
Zero-range Process
Fluctuations
Exclusion Process
Effective Hamiltonian Dynamics via the Maupertuis Principle
Schwetlick, H., Sutton, D. & Zimmer, J., 31 Jul 2018, (Accepted/In press) In : Discrete and Continuous Dynamical Systems Series S.Research output: Contribution to journal › Article
Travelling heteroclinic waves in a Frenkel-Kontorova chain with anharmonic on-site potential
Buffoni, B., Schwetlick, H. & Zimmer, J., 17 Jul 2018, (Accepted/In press) In : Journal de Mathématiques Pures et Appliquées.Research output: Contribution to journal › Article
Datasets
Data set for "Acceleration of Convergence to Equilibrium in Markov Chains by Breaking Detailed Balance"
Kaiser, M. (Creator), Jack, R. (Creator), Zimmer, G. (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, G. (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, G. (Creator), Embacher, P. (Creator), Dirr, N. (Creator), Reina, C. (Creator), University of Bath, 11 Apr 2018
DOI: 10.15125/BATH-00488
Dataset
Thesis
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