论文信息 - Equal weight versus equal height: a numerical study of an asymmetric first-order transition

Equal weight versus equal height: a numerical study of an asymmetric first-order transition

Abstract For asymmetric first-order transitions, the thermodynamic fluctuation theory of Binder and coworkers leads to different finite- size scaling predictions depending on the precise version of the theory. In this Letter, we test the so-called “equal weight” prescription against the “equal height” prescription by means of a Monte Carlo simulation for an asymmetric version of the two-dimensional Ising model. We find overwheling evidence in favour of the equal weight prescription, showing at the same time that the shift of the susceptibility maximum with respect to the infinite volume transition point h t is proportional to L −2 d , and not to L − d .

Christian Borgs | C. Borgs | Stefan Kappler | S. Kappler

[1] Chen Ning Yang,et al. The Spontaneous Magnetization of a Two-Dimensional Ising Model , 1952 .

[2] Alan M. Ferrenberg,et al. New Monte Carlo technique for studying phase transitions. , 1988, Physical review letters.

[3] C. Borgs,et al. A rigorous theory of finite-size scaling at first-order phase transitions , 1990 .

[4] C. Borgs,et al. A unified approach to phase diagrams in field theory and statistical mechanics , 1989 .

[5] Borgs,et al. Finite-size effects at asymmetric first-order phase transitions. , 1992, Physical review letters.

[6] Michael E. Fisher,et al. Scaling Theory for Finite-Size Effects in the Critical Region , 1972 .

[7] Vladimir Privman,et al. Nonsymmetric first-order transitions: Finite-size scaling and tests for infinite-range models , 1990 .

[8] Kurt Binder,et al. Finite-size scaling at first-order phase transitions , 1984 .

[9] Binder,et al. Finite-size effects at temperature-driven first-order transitions. , 1986, Physical review. B, Condensed matter.

[10] K. Binder. Finite size effects at phase transitions , 1992 .