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Personal profile


Martin Weigel studied physics, philosophy and economics at Mainz University. After earning his PhD in physics from the University of Leipzig working on the dynamical triangulations approach to quantum gravity, he went to the University of Waterloo, Canada as a postdoctoral fellow to work on disordered spin systems using methods of combinatorial and heuristic global optimization.

Starting in 2005, he spent two years at Heriot-Watt University, Edinburgh, with an Individual Marie Curie Fellowship of the European Commission to continue his work on quantum gravity. In 2008 Martin won a bid for a prestigious Emmy Noether Research Group of the German Physical Society working on disordered systems which he established in Mainz. In 2011, he was appointed a Senior Lecturerer in Mathematics at Coventry University. Since 2013, he has been a Reader in Theoretical Physics.

Research Interests

Advancement of Monte Carlo methodology; Geometric disorder from fractal random graphs; Annealed disorder and dynamical triangulations; Nucleation and domain growth in random systems; Monte Carlo simulations without detailed balance; Complex magnetic materials: spin glasses and random fields; Modelling social systems in the framework of statistical mechanics; Amplitude-exponent relations for three-dimensional O(n) spin models; Harvesting GPU computational power for simulations of lattice spin models ; Heuristic optimisation and Monte Carlo simulation for complex energy landscapes

Vision Statement

I use a combination of analytical approaches and phenomenological scaling theory with cutting-edge numerical simulation and heuristic optimisation techniques to address problems in phase transitions and critical phenomena. These include spin glasses and random-field systems with a wealth of applications in technologically relevant materials as well as disordered structures such as random surfaces and complex networks. Beyond condensed-matter physics, my interests range from sports statistics to the theory of quantum gravity.

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Research Output 1998 2018

2 Citations

Domain-wall excitations in the two-dimensional Ising spin glass

Khoshbakht, H. & Weigel, M. 16 Feb 2018 In : Physical Review B. 97, 064410

Research output: Research - peer-reviewArticle

Open Access
Spin glass
Domain walls
spin glass
domain wall
Ground state
1 Citations

Massively parallel multicanonical simulations

Gross, J., Zierenberg, J., Weigel, M. & Janke, W. Mar 2018 In : Computer Physics Communications. 224, p. 387-395 8 p.

Research output: Research - peer-reviewArticle

Ising model
Parallel processing systems
Markov processes
Free energy

Monte Carlo methods for massively parallel computers

Weigel, M. 1 Jan 2018 Order, disorder and criticality. Holovatch, Y. (ed.). Singapore: World Scientific, Vol. 5, p. 271-340 70 p.

Research output: Research - peer-reviewChapter

parallel computers
Monte Carlo method
random numbers
Markov chains

On the Coupling Time of the Heat-Bath Process for the Fortuin–Kasteleyn Random–Cluster Model

Collevecchio, A., Elçi, E. M., Garoni, T. M. & Weigel, M. 1 Jan 2018 In : Journal of Statistical Physics. 170, 1, p. 22-61 40 p.

Research output: Research - peer-reviewArticle

Random-cluster Model
Heat Bath
One Dimension
1 Citations

Universality from disorder in the random-bond Blume-Capel model

Fytas, N. G., Zierenberg, J., Theodorakis, P. E., Weigel, M., Janke, W. & Malakis, A. 13 Apr 2018 In : Physical review E: Statistical, Nonlinear, and Soft Matter Physics. 97, 4, 040102

Research output: Research - peer-reviewArticle

Finite-size Scaling
Correlation Length

Activities 1998 2016

  • 44 Participation in conference
  • 1 Participation in workshop, seminar, course

Phase Transitions and Critical Phenomena 2016

Weigel, M. (Organising Committee)
6 Apr 20168 Apr 2016

Activity: Participation in conference

CompPhys15; 16th International NTZ-Workshop on New Developments in Computational Physics

Weigel, M. (Speaker)
26 Nov 201528 Nov 2015

Activity: Participation in conference

Modelling change in socio-economic systems

Weigel, M. (Organising Committee)
13 Jul 201514 Jul 2015

Activity: Participation in conference

Conference on Growing Length Scale Phenomena in Condensed Matter Physics

Weigel, M. (Speaker)
8 Oct 201510 Oct 2015

Activity: Participation in conference

Statistical Physics and Low Dimensional Systems

Weigel, M. (Speaker)
20 May 201522 May 2015

Activity: Participation in conference