The Roughening Transition of the 3D Ising Interface: A Monte Carlo Study

نویسنده

  • M. Hasenbusch
چکیده

We study the roughening transition of an interface in an Ising system on a 3D simple cubic lattice using a finite size scaling method. The particular method has recently been proposed and successfully tested for various solid on solid models. The basic idea is the matching of the renormalization-groupflow of the interface with that of the exactly solvable body centered cubic solid on solid model. We unambiguously confirm the Kosterlitz-Thouless nature of the roughening transition of the Ising interface. Our result for the inverse transition temperature KR = 0.40754(5) is almost by two orders of magnitude more accurate than the estimate of Mon, Landau and Stauffer [9].

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Comparison of Monte Carlo Results for the 3D Ising Interface Tension and Interface Energy with (Extrapolated) Series Expansions

We compare Monte Carlo results for the interface tension and interface energy of the 3-dimensional Ising model with Padé and inhomogeneous differential approximants of the low temperature series that was recently extended by Arisue to 17 order in u = exp(−4β). The series is expected to suffer from the roughening singularity at u ≈ 0.196. The comparison with the Monte Carlo data shows that the P...

متن کامل

0 D ec 1 99 6 Phase diagram of the restricted solid - on - solid model coupled to the Ising model

We study the phase transitions of a restricted solid-on-solid model coupled to an Ising model, which can be derived from the coupled XY-Ising model. There are two kinds of phase transition lines. One is a Ising transition line and the other is surface roughening transition line. The latter is a KT transition line from the viewpoint of the XY model. Using a microcanonical Monte Carlo technique, ...

متن کامل

Dynamics of Driven Interfaces in Heterogenous Magnetic Systems

We analyze interface motion in the random-field Ising model with quenched disorder by means of Monte Carlo simulations. In the absence of thermal fluctuations a depinning transition occurs at some critical threshold field. We study the interface motion in the vicinity of the threshold field by varying the temperature as well as the driving field. It turns out that thermal fluctuations yield a r...

متن کامل

String tension in gonihedric 3D Ising models

For the 3D gonihedric Ising models defined by Savvidy and Wegner the bare string tension is zero and the energy of a spin interface depends only on the number of bends and self-intersections, in antithesis to the standard nearest-neighbour 3D Ising action. When the parameter κ weighting the self-intersections is small the model has a first order transition and when it is larger the transition i...

متن کامل

Deconfinement Transition and Dimensional Cross-over in the 3D Gauge Ising Model

We present a high precision Monte Carlo study of the finite temperature Z2 gauge theory in 2 + 1 dimensions. The duality with the 3D Ising spin model allows us to use powerful cluster algorithms for the simulations. For temporal extensions of up to Nt = 16 we obtain the inverse critical temperature with a statistical accuracy comparable with the most accurate results for the bulk phase transiti...

متن کامل

ذخیره 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 نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1996