翻訳と辞書 Words near each other ・ Vicq, Nord ・ Vicq, Yvelines ・ Vicq-d'Auribat ・ Vicq-Exemplet ・ Vicq-sur-Breuilh ・ Vicq-sur-Gartempe ・ Vicq-sur-Nahon ・ Vicques ・ Vicques, Calvados ・ Vicques, Switzerland ・ Vicriviroc ・ VicRoads ・ Vicryl ・ VICS ・ Vicsek fractal ・ Vicsek model ・ VicStix ・ Victa Aircruiser ・ Victa lawn mower ・ Victa Westlink Rail ・ Victalicus ・ Victalimulus ・ Victaphanta ・ Victaphanta atramentaria ・ Victaphanta compacta ・ Victaulic ・ Victim ・ Victim (1961 film) ・ Victim (1999 film) ・ Victim (2011 film) Dictionary Lists mini英和辞書 mini和英辞書 Webster 1913 Latin-English FOLDOC Wikipedia English ウィキペディア

翻訳と辞書　辞書検索 [ 開発暫定版 ] スポンサード リンク Vicsek model ： ウィキペディア英語版 Vicsek model One motivation of the study of active matter by physicist is the rich phenomenology associated to this field. Collective motion and swarming are among the most studied phenomena. Within the huge number of models that have been developed to catch such behavior from a microscopic description, the most famous is the so called Vicsek model introduced by Tamás Vicsek et al. in 1995. Physicists have a great interest in this model as it is minimal and permits to catch a kind of universality. It consists in point like self-propelled particles that evolve at constant speed and align their velocity with their neighbours' one in presence of noise. Such a model shows collective motion at high density of particles or low noise on the alignment. == Model (mathematical description) == As this model aims at being minimal, it assumes that flocking is due to the combination of any kind of self propulsion and of effective alignment. An individual $i$ is described by its position $\backslash mathbf\_i(t)$ and the angle defining the direction of its velocity $\backslash Theta\_i(t)$ at time $t$. The discrete time evolution of one particle is set by two equations: At each time steps $\backslash Delta\; t$, each agent aligns with its neighbours at a distance $r$ with an incertitude due to a noise $\backslash eta\_i(t)$ such as $\backslash Theta\_i(t+\backslash Delta\; t)\; =\; \backslash langle\; \backslash Theta\_j\; \backslash rangle\_\; +\; \backslash eta\_i(t)$ And moves at constant speed $v$ in the new direction : $\backslash mathbf\_i(t+\backslash Delta\; t)\; =\; \backslash mathbf\_i(t)\; +\; v\; \backslash begin\; \backslash cos(\backslash Theta\_i(t+\; \backslash Delta\; t)\; \backslash \backslash \; \backslash sin(\backslash Theta\_i(t+\; \backslash Delta\; t)\backslash end$ The whole model is controlled by two parameters: the density of particules and the amplitude of the noise on the alignment. From these two simple iteration rules diverse continuous theories have been elaborated such as the Toner Tu theory which describes the system at the hydrodynamic level. 抄文引用元・出典: フリー百科事典『 ウィキペディア（Wikipedia）』 ■ウィキペディアで「Vicsek model」の詳細全文を読む スポンサード リンク 翻訳と辞書 : 翻訳のためのインターネットリソース Copyright(C) kotoba.ne.jp 1997-2016. All Rights Reserved.