Finite size scaling and first-order phase transition in a modified XY model.
نویسندگان
چکیده
Monte Carlo simulation has been performed in a two-dimensional modified XY -model first proposed by Domany [Phys. Rev. Lett. 52, 1535 (1984)] The cluster algorithm of Wolff has been used and multiple histogram reweighting is performed. The first-order scaling behavior of the quantities such as specific heat and free-energy barrier are found to be obeyed accurately. While the lowest-order correlation function was found to decay to zero at long distance just above the transition, the next-higher-order correlation function shows a nonzero plateau.
منابع مشابه
Density of Partition function Zeroes and Phase Transition Strength
A new method to extract the density of partition function zeroes (a continuous function) from their distribution for finite lattices (a discrete data set) is presented. This allows direct determination of the order and strength of phase transitions numerically. Furthermore, it enables efficient distinguishing between first and second order transitions, elucidates crossover between them and illu...
متن کاملGround-state phase diagram of SÄ1 XXZ chains with uniaxial single-ion-type anisotropy
One-dimensional S51 XXZ chains with uniaxial single-ion-type anisotropy are studied by numerical exact diagonalization of finite-size systems. The numerical data are analyzed using conformal field theory, the level spectroscopy, phenomenological renormalization-group, and finite-size scaling method. We thus present a quantitatively reliable ground-state phase diagram of this model. The ground s...
متن کاملExtending multiple histogram reweighting to a continuous lattice spin system exhibiting a first-order phase transition.
We present extensive Monte Carlo simulations on a two-dimensional XY model with a modified form of interaction potential. Thermodynamic quantities other than energy, specific heat, etc. (such as magnetization, susceptibility, and fourth-order cumulant of magnetization) are obtained using multiple histogram reweighting of the data obtained from the simulations. We employ an approach which elimin...
متن کاملFinite-size effects of dimensional crossover in quasi-two- dimensional three-state Potts model
A nearest neighbour spin pair of the quasi-two-dimensional three-state Potts model interacts with the strength J(> 0) in the xy-plane and with λJ (0 ≤ λ ≪ 1) in the z-axis. The phase transition is of second-order when λ = 0 and is of first-order when λ > 0. The dimensional crossover occurs with a change of the order of the phase transition. We study the finite-size effects of the phenomenon by ...
متن کاملThe Kosterlitz–thouless Universality Class
We examine the Kosterlitz–Thouless universality class and show that conventional (essential) scaling at this type of phase transition is self–consistent only if modified by multiplicative logarithmic corrections. In the case of specific heat these logarithmic corrections are identified analytically. To identify those corresponding to the susceptibility we set up a numerical method involving the...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- Physical review. E, Statistical, nonlinear, and soft matter physics
دوره 81 2 Pt 1 شماره
صفحات -
تاریخ انتشار 2010