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- Max Planck Institute for Mathematics in the SciencesDE139 papers
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11 papers · 2 filters
Two-Dimensional Critical Potts and its Tricritical Shadow
Wolfhard Janke, Adriaan M. J. Schakel
These notes give examples of how suitably defined geometrical objects encode in their fractal structure thermal critical behavior. The emphasis is on the two-dimensional Potts mode…
Spacetime Approach to Phase Transitions
Wolfhard Janke, Adriaan M. J. Schakel
In these notes, the application of Feynman's sum-over-paths approach to thermal phase transitions is discussed. The paradigm of such a spacetime approach to critical phenomena is p…
Wang-Landau/Multibondic Cluster Simulations for Second-Order Phase Transitions
Bernd A. Berg, Wolfhard Janke
For a second-order phase transition the critical energy range of interest is larger than the energy range covered by a canonical Monte Carlo simulation at the critical temperature.…
Self-Consistent Scaling Theory for Logarithmic Correction Exponents
R. Kenna, D. A. Johnston, W. Janke
Multiplicative logarithmic corrections frequently characterize critical behaviour in statistical physics. Here, a recently proposed theory relating the exponents of such terms is e…
High-temperature series expansions for the -state Potts model on a hypercubic lattice and critical properties of percolation
Meik Hellmund, Wolfhard Janke
We present results for the high-temperature series expansions of the susceptibility and free energy of the -state Potts model on a -dimensional hypercubic lattice $\mathbb{Z}…
Dynamical Adjustment of Propagators in Renormalization Group Flows
Manfred Salmhofer
A class of continuous renormalization group flows with a dynamical adjustment of the propagator is introduced and studied theoretically for fermionic and bosonic quantum field theo…