Roughening Transition in a One-Dimensional Growth Process
نویسندگان
چکیده
منابع مشابه
Equilibrium roughening transition in a one-dimensional modified sine-Gordon model.
We present a modified version of the one-dimensional sine-Gordon model that exhibits a thermodynamic, roughening phase transition, in analogy with the two-dimensional usual sine-Gordon model. The model is suited to study the crystalline growth over an impenetrable substrate and to describe the wetting transition of a liquid that forms layers. We use the transfer integral technique to write down...
متن کاملRoughening transition driven by a binary spreading process
We introduce a solid-on-solid growth process which evolves by random deposition of dimers, surface diffusion, and evaporation of monomers from the edges of plateaus. It is shown that the model exhibits a robust transition from a smooth to a rough phase. The roughening transition is driven by an absorbing phase transition at the bottom layer of the interface, which displays the same type of crit...
متن کاملPhase transition of the one-dimensional coagulation-production process.
Recently an exact solution has been found by M. Henkel and H. Hinrichsen [J. Phys. A 34, 1561 (2001)] for the one-dimensional coagulation-production process: 2A-->A, AØA-->3A with equal diffusion and coagulation rates. This model evolves into the inactive phase independently of the production rate with t(-1/2) density decay law. This paper shows that cluster mean-field approximations and Monte ...
متن کاملCoarsening process in one-dimensional surface growth models
Surface growth models may give rise to unstable growth with mound formation whose tipical linear size L increases in time (coarsening process). In one dimension coarsening is generally driven by an attractive interaction between domain walls or kinks. This picture applies to growth models where the largest surface slope remains constant in time (corresponding to model B of dynamics): coarsening...
متن کاملRenormalization-group study of one-dimensional systems with roughening transitions.
A recently introduced real-space renormalization-group technique, developed for the analysis of processes in the Kardar-Parisi-Zhang universality class, is generalized and tested by applying it to a different family of surface-growth processes. In particular, we consider a growth model exhibiting a rich phenomenology even in one dimension. It has four different phases and a directed percolation...
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: Physical Review Letters
سال: 1996
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.76.2746