Finite-size scaling and latent heat at the gonihedric first-order phase transition

26th IUPAP Conference on Computational Physics

物理学;计算机科学

Janke, Wolfhard^1 ; Mueller, Marco^1 ; Johnston, Desmond A.^2

Institut für Theoretische Physik, Universitat Leipzig, Postfach 100 920, Leipzig

04009, Germany^1

Department of Mathematics, School of Mathematical and Computer Sciences, Heriot-Watt University, Riccarton, Edinburgh

EH14 4AS, United Kingdom^2

关键词: Finite size scaling;    Finite-size corrections;    First-order phase transitions;    Fixed boundary conditions;    Low temperature phase;    Periodic boundary conditions;    Scaling behaviours;    Thermodynamic limits;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/640/1/012002/pdf
DOI  :  10.1088/1742-6596/640/1/012002

学科分类：计算机科学（综合）

来源: IOP

【 摘 要 】

A well-known feature of first-order phase transitions is that fixed boundary conditions can strongly influence finite-size corrections, modifying the leading corrections for an L3lattice in 3d from order 1/L3under periodic boundary conditions to 1/L. A rather similar effect, albeit of completely different origin, occurs when the system possesses an exponential low- temperature phase degeneracy of the form 23Lwhich causes for periodic boundary conditions a leading correction of order 1/L2in 3d. We discuss a 3d plaquette Hamiltonian ("gonihedric") Ising model, which displays such a degeneracy and manifests the modified scaling behaviour. We also investigate an apparent discrepancy between the fixed and periodic boundary condition latent heats for the model when extrapolating to the thermodynamic limit.