Mathematical Physics and Stochastic Dynamics

Mathematical Physics and Stochastic Dynamics

Aljaz Godec has recently been appointed as full professor at the Institute of Physics at the University of Freiburg. Therefore, the Godec group moved to Freiburg on January 1, 2026. He will remain affiliated with the MPI-NAT for a transition period.

New address
Mathematical Physics and Stochastic Dynamics
Institute of Physics, University of Freiburg
Hermann-Herder-Str. 3 
79104 Freiburg, Germany

 

We develop and apply the methods of mathematical physics and the theory of stochastic processes to study phenomena in biophysics. Our main research focus is currently the non-equilibrium statistical mechanics of single molecules. In particular, we aim at a trajectory-based description of macromolecular conformation dynamics as well as of their spatial transport, binding, and reactions. In our work we employ a combination of rigorous analysis corroborated by computer simulations.


Press releases & research news

Complex network representation with colored nodes, lines, and directed arrows between red and blue spheres indicating connections.

A research team at the Max Planck Institute (MPI) for Multidisciplinary Sciences has discovered a previously unknown mechanism that allows mechanical signals to travel across proteins. The lever-like principle makes allostery physically tangible and opens new perspectives for drug design and synthetic biology. more

Thermodynamic transport inequality: Inferring dissipation from observed transport from single-molecule to bulk observables

Small biological systems are inherently stochastic due to thermal fluctuations. Inferring dissipation, that is, if and how far biological systems (or processes) are driven out of equilibrium, from fluctuating observations, which typically track only a small subset of degrees of freedom, remains a key challenge in modern non-equilibrium physics. more

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10 most recent papers

Blom, K.; Makarov, D. E.; Godec, A.: Hallmarks of deception in asset-exchange models. Physical Review Research 7, 013279 (2025)
Dieball, C.; Godec, A.: Perspective: Time irreversibility in systems observed at coarse resolution. The Journal of Chemical Physics 162, 090901 (2025)
Dieball, C.; Mohebi Satalsari, Y.; Zuccolotto-Bernez, A. B.; Egelhaaf, S. U.; Escobedo-Sánchez, M. A.; Godec, A.: Precisely controlled colloids: a playground for path-wise non-equilibrium physics. Soft Matter 21 (11), pp. 2170 - 2181 (2025)
Blom, K.; Thiele, U.; Godec, A.: Local order controls the onset of oscillations in the nonreciprocal Ising model. Physical Review E 111 (2), 024207 (2025)
Tabanera-Bravo, J.; Godec, A.: Multiple Pareto-optimal solutions of the dissipation-adaptation trade-off. Physical Review Research 7, 013020 (2025)
Goswami, K.; Cherstvy, A. G.; Godec, A.; Metzler, R.: Anomalous diffusion of active Brownian particles in responsive elastic gels: Nonergodicity, non-Gaussianity, and distributions of trapping times. Physical Review E 110, 044609 (2024)
Vollmar, L.; Bebon, R.; Schimpf, J.; Flietel, B.; Celiksoy, S.; Sönnichsen, C.; Godec, A.; Hugel, T.:
Model-free inference of memory in conformational dynamics of a multi-domain protein
Journal of Physics  A: Mathematical and Theoretical 57 365001
Dieball, C.; Godec, A.: Thermodynamic Bounds on Generalized Transport: From Single-Molecule to Bulk Observables. Physical Review Letters 133 (6), 067101 (2024)
Blom, K.; Song, K.; Vouga, E.; Godec, A.; Makarov, D. E.: Milestoning estimators of dissipation in systems observed at a coarse resolution. PNAS 121 (17), e2318333121 (2024)
Zhao, X.; Hartich, D.; Godec, A.: Emergence of Memory in Equilibrium versus Nonequilibrium Systems. Physical Review Letters 132 (14), 147101 (2024)

 

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