Partition Function Zeroes

Lee and Yang were the first to  realize that extending the partition function of a statistical mechanical model into the complex plane gave a useful way of understanding how the non-analyticities that characterize phase transitions could emerge from lattice models in the thermodynamic limit. Their work considered field driven transitions and was extended by Fisher to thermal transitions.  The scaling of the density of the partition function zeroes that arises in such an approach gives a useful alternative method for extracting the critical properties  of phase transitions and deciding their nature.

• B. Dolan, W. Janke, D. Johnston and M. Stathakopoulos, Thin Fisher Zeroes, J. Phys. A34 6211-6223, (2001)

• W. Janke, D. Johnston and M. Stathakopoulos, Fat Fisher Zeroes, Nucl. Phys. B614 494-512, (2001)

• B. Dolan and D. Johnston, 1D Potts, Lee-Yang Edges and Chaos, Phys. Rev. E65, 057103, (2002)

• W. Janke, D. Johnston and M. Stathakopoulos, A Kertesz Line on Planar Random Graphs?, J. Phys. A35, 7575, (2002)

• W. Janke, D. Johnston and R. Kenna, New Methods to Measure Phase Transition Strength, Nucl. Phys. B (Proc. Suppl.), (2002)

• W. Janke, D. Johnston and R. Kenna, Phase Transition Strength through Density of General Distributions of Zeros, Nucl. Phys. B [FS] 682/3, 618-634, (2004)

• W. Janke, D. Johnston and R. Kenna, Properties of Higher Order Phase Transitions, Nucl. Phys. B 736, 319, (2005)

• W. Janke, D. Johnston and R. Kenna, Properties of phase transitions of higher order, Proceedings of Science (Lattice 2005), 244, (2005)

• W. Janke, D. Johnston and R. Kenna, Phase Transition Strength from General Distributions of Zeroes, Computer Physics Communications 169, proceedings of CCP-2004, 457-461, (2005)