Finite-size scaling and surface tension from effective one dimensional systems
نویسندگان
چکیده
منابع مشابه
Finite-size Scaling and Surface Tension from Effective One-dimensional Systems
We develop a method for precise asymptotic analysis of partition functions near firstorder phase transitions. Working in a (ν+1)-dimensional cylinder of volume L×. . .×L×t, we show that leading exponentials in t can be determined from a simple matrix calculation provided t ≥ ν logL. Through a careful surface analysis we relate the off-diagonal matrix elements of this matrix to the surface tensi...
متن کاملLine tension at wetting: finite-size effects and scaling functions
We study trie effect of limite system size on trie tension r of a three-phase contact fine. This is especially important in systems with forces that are sufliciently long-ranged for r to diverge in trie thermodynamic Iimit. Near wetting phase transitions we propose an anisotropic finite-size scaling hypothesis, which takes into account trie elfect of thermal capillary-wave fluctuations. Trie si...
متن کاملFinite-size scaling behavior in trapped systems.
Numerical transfer-matrix methods are applied to two-dimensional Ising spin systems, in the presence of a confining magnetic field which varies with distance |x| to a "trap center," proportionally to (|x|/ℓ)p, where p>0 . On a strip geometry, the competition between the "trap size" ℓ and the strip width L is analyzed in the context of a generalized finite-size scaling ansatz. In the low-field r...
متن کاملQuantum Phase Transition and Finite-Size Scaling of the One-Dimensional Ising Model
We study the quantum phase transition in the one-dimensional Ising model at zero temperature. As the strength g of the transverse field is changed, the system undergoes a quantum phase transition from an ordered to a disordered phase, characterized by spontaneous magnetization in the z-direction. We apply the standard technique of finite-size scaling in statistical mechanics to detect the natur...
متن کاملScaling in one-dimensional localized absorbing systems
The single-parameter scaling ~SPS! hypothesis is the cornerstone of the current understanding of the localization phenomena. It was originally formulated in terms of the scaling behavior of the conductance of disordered conductors, where it was suggested that when the length, L, of a disordered conductor increases, the evolution of the conductance, g(L), is determined by a single parameter, g i...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 1992
ISSN: 0010-3616,1432-0916
DOI: 10.1007/bf02099138