منابع مشابه
Internal Dla and the Stefan Problem 1529
Generalized internal diffusion limited aggregation is a stochastic growth model on the lattice in which a finite number of sites act as Poisson sources of particles which then perform symmetric random walks with an attractive zero-range interaction until they reach the first site which has been visited by fewer than α particles, at which point they stop. Sites on which particles are frozen cons...
متن کاملApproximate solutions to the Stefan problem with internal heat generation
Using a quasi-static approach valid for Stefan numbers less than one, we derive approximate equations governing the movement of a phase change front for materials which generate internal heat. These models are applied for both constant surface temperature and constant surface heat flux boundary conditions, in cylindrical, spherical, plane wall and semi-infinite geometries. Exact solutions with ...
متن کاملInternal DLA and the Gaussian free field
In previous works, we showed that the internal DLA cluster on Z with t particles is almost surely spherical up to a maximal error of O(log t) if d = 2 and O( √ log t) if d ≥ 3. This paper addresses “average error”: in a certain sense, the average deviation of internal DLA from its mean shape is of constant order when d = 2 and of order r1−d/2 (for a radius r cluster) in general. Appropriately n...
متن کاملSolving The Stefan Problem with Kinetics
We introduce and discuss the Homotopy perturbation method, the Adomian decomposition method and the variational iteration method for solving the stefan problem with kinetics. Then, we give an example of the stefan problem with kinetics and solve it by these methods.
متن کاملInternal DLA in Higher Dimensions
Let A(t) denote the cluster produced by internal diffusion limited aggregation (internal DLA) with t particles in dimension d ≥ 3. We show that A(t) is approximately spherical, up to an O( √ log t) error. In the process known as internal diffusion limited aggregation (internal DLA) one constructs for each integer time t ≥ 0 an occupied set A(t) ⊂ Zd as follows: begin with A(0) = ∅ and A(1) = {0...
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: The Annals of Probability
سال: 2000
ISSN: 0091-1798
DOI: 10.1214/aop/1019160497