منابع مشابه
Tailoring diffusion in analog spacetimes.
Diffusive transport is characterized by the scaling law (length)^{2}∝(time). In this paper we show that this relationship is significantly altered in curved analog spacetimes. This circumstance provides an opportunity to tailor diffusion: by a suitable design of the analog metric, it is possible to create materials where diffusion is either faster or slower than in normal media, as desired. Thi...
متن کاملDiffusion in multiscale spacetimes.
We study diffusion processes in anomalous spacetimes regarded as models of quantum geometry. Several types of diffusion equation and their solutions are presented and the associated stochastic processes are identified. These results are partly based on the literature in probability and percolation theory but their physical interpretation here is different since they apply to quantum spacetime i...
متن کاملDynamics of Robertson-Walker spacetimes with diffusion
We study the dynamics of spatially homogeneous and isotropic spacetimes containing a fluid undergoing microscopic velocity diffusion in a cosmological scalar field. After deriving a few exact solutions of the equations, we continue by analyzing the qualitative behavior of general solutions. To this purpose we recast the equations in the form of a two dimensional dynamical system and perform a g...
متن کاملBiomorphic Analog Devices based on Reaction-Diffusion Systems
I introduce reaction-diffusion (RD) silicon devices for developing basic components of biomorphic computing systems. RD systems are usually modeled in terms of cellular automata (Fig. 1) and are known to enable sensible computation when both data and results of the computation are encoded in concentration profiles of chemical species; the computation is implemented via spreading and interaction...
متن کاملReaction-diffusion chip implementing analog cellular-automaton model
In GHz-clock speed LSI, clock skew and phase-lagged stable synchronous patterns called modelock are generated using random process variations and RC delays in the clock line [1]. Once this phenomenon occurs, a system will fail because clock-distribution circuits cannot operate in sync. It takes a long time to simulate the phenomenon because of a large number of calculations for nonlinear partia...
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 E
سال: 2012
ISSN: 1539-3755,1550-2376
DOI: 10.1103/physreve.85.041134