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 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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## 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

## 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

### A Variational Structure for Interacting Particle Systems and their Hydrodynamic Scaling Limits

Kaiser, M., Jack, R. & Zimmer, J., 22 Jan 2019, (Accepted/In press) In : Communications in Mathematical Sciences.Research output: Contribution to journal › Article

### 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

### 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

### 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

## 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