Zobrazeno 1 - 10
of 52
pro vyhledávání: '"Robert I. A. Patterson"'
Publikováno v:
New Journal of Physics, Vol 24, Iss 1, p 013012 (2022)
We study the formation of trails in populations of self-propelled agents that make oriented deposits of pheromones and also sense such deposits to which they then respond with gradual changes of their direction of motion. Based on extensive off-latti
Externí odkaz:
https://doaj.org/article/2d2d11b8155745b0a459fa8317a00d35
We study an inhomogeneous sparse random graph, $${\mathcal G }_N$$ G N , on $$[N]=\{1,\dots ,N\}$$ [ N ] = { 1 , ⋯ , N } as introduced in a seminal paper by Bollobás et al. (Random Struct Algorithms 31(1):3–122, 2007): vertices have a type (here
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::60ab59a6d77a57ebe3aa5190b862fe8f
Let $\mathcal{G}(N,\frac 1Nt_N)$ be the Erd\H{o}s-R\'enyi graph with connection probability $\frac 1Nt_N\sim t/N$ as $N\to\infty$ for a fixed $t\in(0,\infty)$. We derive a large-deviations principle for the empirical measure of the sizes of all the c
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37e2d2212f14f291533c085ce60357da
https://hdl.handle.net/11311/1224578
https://hdl.handle.net/11311/1224578
Publikováno v:
Journal of Evolution Equations. 19:111-152
We study functions of bounded variation with values in a Banach or in a metric space. In finite dimensions, there are three well-known topologies; we argue that in infinite dimensions there is a natural fourth topology. We provide some insight into t
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2e1987db456bbdbe67bf24e0cc8573e3
https://doi.org/10.1007/s00028-018-0471-1
https://doi.org/10.1007/s00028-018-0471-1
Publikováno v:
Mathematical Physics, Analysis and Geometry. 22
We study a general class of systems of interacting particles that randomly interact to form new or different particles. In addition to the distribution of particles we consider the fluxes, defined as the rescaled number of jumps of each type that tak
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::635d4517ca0c539c0fbfbd2e17f5a07e
https://doi.org/10.1007/s11040-019-9318-4
https://doi.org/10.1007/s11040-019-9318-4
Autor:
Eric J. Bringley, Nick A. Eaves, Markus Kraft, Robert I. A. Patterson, Andrew D. McGuire, Sebastian Mosbach, Gavin K. Reynolds, Jochen A.H. Dreyer
In this work, a framework for modelling twin-screw granulation processes with variable screw configurations using a high-dimensional stochastic population balance method is presented. A modular compartmental approach is presented and a method for est
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::73f73321b4265b9a58f488cf93a06c2d
https://www.repository.cam.ac.uk/handle/1810/292057
https://www.repository.cam.ac.uk/handle/1810/292057
Autor:
J. Houston Miller, Jethro Akroyd, Erin M. Adkins, Markus Kraft, Robert I. A. Patterson, Sebastian Mosbach, Edward K.Y. Yapp
Publikováno v:
Combustion and Flame. 167:320-334
A detailed population balance model is used to perform a parametric sensitivity study on the computed optical band gap (OBG) of polycyclic aromatic hydrocarbons (PAHs) in a laminar co-flow ethylene diffusion flame. Assuming that the OBG of PAHs in so
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::9f5cbfc6e98a3a0fa53f71a685a81784
https://doi.org/10.1016/j.combustflame.2016.01.033
https://doi.org/10.1016/j.combustflame.2016.01.033
Publikováno v:
Journal of Computational Physics. 303:1-18
This paper introduces stochastic weighted particle algorithms for the solution of multi-compartment population balance equations. In particular, it presents a class of fragmentation weight transfer functions which are constructed such that the number
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::2c16a63a992179ee2edd472294acec86
https://doi.org/10.1016/j.jcp.2015.09.031
https://doi.org/10.1016/j.jcp.2015.09.031
A coupled solver for population balance systems is presented, where the flow, temperature, and concentration equations are solved with finite element methods, and the particle size distribution is simulated with a stochastic simulation algorithm, a s
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f7593da8623cfd1616b96c51a107fa55
We consider a stochastic particle model governed by an arbitrary binary interaction kernel. A kinetic equation for the distribution of interaction clusters is established. Under some additional assumptions a recursive representation of the solution i
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::f695c225d0e67ca5f1615dcf2940897e