منابع مشابه
Space-time radial basis function collocation method for one-dimensional advection-diffusion problem
The parabolic partial differential equation arises in many application of technologies. In this paper, we propose an approximate method for solution of the heat and advection-diffusion equations using Laguerre-Gaussians radial basis functions (LG-RBFs). The results of numerical experiments are compared with the other radial basis functions and the results of other schemes to confirm the validit...
متن کاملAnomalous Diffusion in Quasi One Dimensional Systems
In order to perform quantum Hamiltonian dynamics minimizing localization effects, we introduce a quasi-one dimensional tight-binding model whose mean free path is smaller than the size of the sample. This size, in turn, is smaller than the localization length. We study the return probability to the starting layer using direct diagonalization of the Hamiltonian. We create a one dimensional excit...
متن کاملWasserstein Kernels for One-dimensional Diffusion Problems
We treat the evolution as gradient flow with respect to the Wasserstein distance on a special manifold and construct the weak solution for the initial-value problem by using a standard time-discretized implicit scheme. The concept of Wasserstein kernel associated with one-dimensional diffusion problems with Neumann boundary conditions is introduced. Based on this, features of the initial data a...
متن کاملHysteresis in one-dimensional reaction-diffusion systems.
We introduce a simple nonequilibrium model for a driven diffusive system with nonconservative reaction kinetics in one dimension. The steady state exhibits a phase with broken ergodicity and hysteresis which has no analog in systems investigated previously. We identify the main dynamical mode, viz., the random motion of a shock in an effective potential, which provides a unified framework for u...
متن کاملA Note on Absorption Probabilities in One-dimensional Random Walk via Complex-valued Martingales
Let {Xn, n ≥ 1} be a sequence of i.i.d random variables taking finite number of integers, and let Sn = Sn−1 + Xn for n ≥ 1 and S0 = 0, be a random walk on Z, the set of integers. By using the zeros, together with their multiplicities, of the rational function f(x) = E(xX)−1, x ∈ C, we characterize the space U of all complex-valued martingales of the form {g(Sn), n ≥ 0} for some function g : Z→ ...
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: Transactions of the American Mathematical Society
سال: 1955
ISSN: 0002-9947
DOI: 10.2307/1992954