Discrete-to-continuum modeling of weakly interacting incommensurate chains
نویسندگان
چکیده
منابع مشابه
Modeling angiogenesis: A discrete to continuum description.
Angiogenesis is the process by which new blood vessels develop from existing vasculature. During angiogenesis, endothelial tip cells migrate via diffusion and chemotaxis, loops form via tip-to-tip and tip-to-sprout anastomosis, new tip cells are produced via branching, and a vessel network forms as endothelial cells follow the paths of tip cells. The latter process is known as the snail trail. ...
متن کاملPropagation of interacting force chains in the continuum limit.
We study the effect of mergers in the force chain model describing the stress profile in static granular materials. Combining numerical and analytical calculations, we show that granular materials do not generally behave in an elasticlike manner; however, they may under specific conditions, which are elaborated. Nonelastic behavior resulting from the nonlinearity of the full force chain model i...
متن کاملContinuum Limits of Markov Chains with Application to Network Modeling
In this paper we investigate the continuum limits of a class of Markov chains. The investigation of such limits is motivated by the desire to model very large networks. We show that under some conditions, a sequence of Markov chains converges in some sense to the solution of a partial differential equation. Based on such convergence we approximate Markov chains modeling networks with a large nu...
متن کاملA continuum-discrete model for supply chains dynamics
This paper is focused on continuum-discrete models for supply chains. In particular, we consider the model introduced in [10], where a system of conservation laws describe the evolution of the supply chain status on sub-chains, while at some nodes solutions are determined by Riemann solvers. Fixing the rule of flux maximization, two new Riemann Solvers are defined. We study the equilibria of th...
متن کاملWeakly Interacting Bose Gas
We will look at the weakly interacting system at low temperatures. Already, without interactions, we have Bose condensation 〈 b+ 0 b0 〉 = N0 = N. (2) Interactions will reduce this, but if they are weak the depletion of the condensate will be a small fraction (N −N0)/N 1, or ∑ E k ′ 〈 bE k bE k 〉 N, (3) with ∑′ denoting the sum over all E k 6= 0. With the macroscopic occupation of the zero mode ...
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: 2017
ISSN: 2470-0045,2470-0053
DOI: 10.1103/physreve.96.033003