منابع مشابه
Multi shocks in Reaction-diffusion models
It is shown that, concerning equivalent classes, on a one-dimensional lattice with nearest neighbor interaction there are only four independent models possessing double-shocks . All these models are studied. In two of them at large times, the average width of double shock will become small, and for the other two, double shocks will be disappeared and the final state is a linear combination of B...
متن کاملPatterns of patchy spread in multi-species reaction–diffusion models
Spread of populations in space often takes place via formation, interaction and propagation of separated patches of high species density, without formation of continuous fronts. This type of spread is called a ‘patchy spread’. In earlier models, this phenomenon was considered to be a result of a pronounced environmental or/and demographic stochasticity. Recently, it was found that a patchy spre...
متن کاملMulti-species reaction-diffusion models admitting shock solutions
A method for classifying n-species reaction-diffusion models, admitting shock solutions is presented. The most general one-dimensional twospecies reaction-diffusion model with nearest neighbor interactions admitting uniform product measures as the stationary states is studied. Satisfying more constraints, these models may experience single-shock solutions. These models are generalized to multi-...
متن کاملShocks in Nonlinear Diffusion
Using two models that incorporate a nonlinear forward-backward heat equation, we demonstrate the existence of well-deened weak solutions containing shocks for diiusive problems. Occurrence of shocks is connected to multivalued inverse solutions and non-monotone potential functions. Unique viscous solutions are determined from perturbation theory by matching to a shock layer condition. Results o...
متن کاملPhase transition of triplet reaction-diffusion models.
The phase transitions classes of reaction-diffusion systems with multiparticle reactions are an open challenging problem. Large scale simulations are applied for the 3A --> 4A, 3A --> 2A and the 3A --> 4A, 3A --> [formula : see text] triplet reaction models with site occupation restriction in one dimension. Static and dynamic mean-field scaling are observed with signs of logarithmic corrections...
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 European Physical Journal B
سال: 2007
ISSN: 1434-6028,1434-6036
DOI: 10.1140/epjb/e2007-00069-7