Galton Board
نویسندگان
چکیده
The Galton board is an upright board with evenly spaced nails driven into its upper half. The nails are arranged in staggered order. The lower half of the board is divided with vertical slats into a number of narrow rectangular slots. From the front, the whole installation is covered with a glass cover. In the middle of the upper edge, there is a funnel in which balls can be poured, the diameter of the balls being much smaller than the distance between the nails. The funnel is located precisely above the central nail of the second row, i. e. the ball, if perfectly centered, would fall vertically and directly onto the uppermost point of this nail’s surface (Fig. 1).
منابع مشابه
Galton Board with memory
The Galton Board model complemented with a simple memory mechanism was employed to illustrate the Galton Table structure
متن کاملNonlinear optical Galton board
We generalize the concept of optical Galton board OGB , first proposed by Bouwmeester et al. Phys. Rev. A 61, 01341
متن کاملNonlinear optical Galton board: Thermalization and continuous limit.
The nonlinear optical Galton board (NLOGB), a quantum walk like (but nonlinear) discrete time quantum automaton, is shown to admit a complex evolution leading to long time thermalized states. The continuous limit of the Galton board is derived and shown to be a nonlinear Dirac equation (NLDE). The (Galerkin-truncated) NLDE evolution is shown to thermalize toward states qualitatively similar to ...
متن کاملDiffusive motion and recurrence on an idealized Galton board.
We study a mechanical model known as a Galton board--a particle rolling on a tilted plane under gravitation and bouncing off a periodic array of rigid pegs. Incidentally, this model is identical to a periodic Lorentz gas where an electron is driven by a uniform electric field. Previous heuristic and experimental studies have suggested that the particle's speed v(t) should grow as t(1/3) and its...
متن کاملGalton Board: limit theorems and recurrence
We study a particle moving in R2 under a constant (external) force and bouncing off a periodic array of convex domains (scatterers); the latter must satisfy a standard ‘finite horizon’ condition to prevent ‘ballistic’ (collision-free) motion. This model is known to physicists as Galton board (it is also identical to a periodic Lorentz gas). Previous heuristic and experimental studies have sugge...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید
ثبت ناماگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید
ورودعنوان ژورنال:
- CoRR
دوره abs/nlin/0503024 شماره
صفحات -
تاریخ انتشار 2005