Interface Dynamics of a Metastable Mass-Conserving Spatially Extended Diffusion

نویسندگان
چکیده

برای دانلود باید عضویت طلایی داشته باشید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Dynamics of Spatially Extended Dendrites

Dendrites are the most visually striking parts of neurons. Even somany neuron models are of point type and have no representation of space. In this thesis we will look at a range of neuronal models with the common property that we always include spatially extended dendrites. First we generalise Abbott’s “sumover-trips” framework to include resonant currents. We also look at piece-wise linear (P...

متن کامل

Metastable Dynamics of Convection-diffusion-reaction Equations

Metastable dynamics, which qualitatively refers to physical processes that involve an extremely slow approach to their nal equilibrium states, is often associated with singularly perturbed convection-di usion-reaction equations. A problem exhibits metastable behavior when the approach to equilibrium occurs on a time-scale of order O(eC" ), where C > 0 and " is the singular perturbation paramete...

متن کامل

Metastable Dynamics and Spatially Inhomogeneous Equilibria in Dumbell-shaped Domains

The motion of internal layers for three singularly perturbed reaction diiusion problems, including the Allen-Cahn equation, is studied in a two-dimensional dumbell-shaped domain. The channel region that connects the two attachments, or lobes, of the dumbell is taken to be rectangular. The motion of straight-line internal layers in the channel region is analyzed using an asymptotic projection me...

متن کامل

Diffusion and anomalous diffusion in spatially extended systems: A Huygens principle for superdiffusion

We present a universal view on diffusive behaviour in chaotic spatially extended systems for anisotropic and isotropic media. For anisotropic systems, strong chaos leads to diffusive behaviour (Brownian motion with drift) and weak chaos leads to superdiffusive behaviour (Lévy processes with drift). For isotropic systems, the drift term vanishes and strong chaos again leads to Brownian motion. W...

متن کامل

A Huygens principle for diffusion and anomalous diffusion in spatially extended systems.

We present a universal view on diffusive behavior in chaotic spatially extended systems for anisotropic and isotropic media. For anisotropic systems, strong chaos leads to diffusive behavior (Brownian motion with drift) and weak chaos leads to superdiffusive behavior (Lévy processes with drift). For isotropic systems, the drift term vanishes and strong chaos again leads to Brownian motion. We e...

متن کامل

ذخیره 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: Journal of Statistical Physics

سال: 2015

ISSN: 0022-4715,1572-9613

DOI: 10.1007/s10955-015-1415-6