منابع مشابه
Patch Dynamics for Multiscale Problems Bridging the Macroscale and Microscale
There are important systems—those that couple molecular dynamics with a material’s macroscale behavior or use a Boltzmann particle model to predict large-scale patterns in a fluid flow, for example—that must be modeled on relatively long time or space scales, but the dynamics can be advanced only on short time or space scales. First developed by Yannis Kevrekidis and his collaborators,1–5 patch...
متن کاملThree-Body Dynamics in One Dimension
We discuss the general three-particle quantum scattering problem, for motion restricted to the full line. Specifically, we formulate the three-body problem in one dimension in terms of the (Faddeev-type) integral equation approach. As a first application, we develop a spinless, one-dimensional (1-D) model that mimics three-nucleon dynamics in one dimension. In addition, we investigate the effec...
متن کاملDiffusion-annihilation dynamics in one spatial dimension
We discuss a reaction-diffusion model in one dimension subjected to an external driving force. Each lattice site may be occupied by at most one particle. The particles hop with rates (1± η)/2 to the right or left nearest neighbour site if it is vacant, and annihilate with rate one if it is occupied. We compute the long time behaviour of the space dependent average density in states where the in...
متن کاملRevisiting Kawasaki dynamics in one dimension.
Critical exponents of the Kawasaki dynamics in the Ising chain are re-examined numerically through the spectrum gap of evolution operators constructed both in spin and domain-wall representations. At low-temperature regimes the latter provides a rapid finite-size convergence to these exponents, which tend to z ≃ 3.11 for instant quenches under ferromagnetic couplings, while approaching to z ≃ 2...
متن کاملArtifacts of opinion dynamics at one dimension
The dynamics of a one dimensional Ising spin system is investigated using three families of local update rules, the Galam majority rules, Glauber inflow influences and Sznadj outflow drives. Given an initial density p of up spins the probability to reach a final state with all spins up is calculated exactly for each choice. The various formulas are compared to a series of previous calculations ...
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: ANZIAM Journal
سال: 2012
ISSN: 1445-8810
DOI: 10.21914/anziamj.v53i0.5074