ar X iv : c on d - m at / 9 51 10 32 v 1 6 N ov 1 99 5 Space covering by growing rays

نویسندگان

  • P. L. Krapivsky
  • E. Ben - Naim
چکیده

We study kinetic and jamming properties of a space covering process in one dimension. The stochastic process is defined as follows: Seeds are nucleated randomly in space and produce rays which grow with a constant velocity. The growth stops upon collision with another ray. For arbitrary distributions of the growth velocity, the exact coverage, velocity and size distributions are evaluated for both simultaneous and continuous nucleation. In general, simultaneous nucleation exhibits a stronger dependence on the details of the growth velocity distribution in the asymptotic time regime. The coverage in the continuous case exhibits a universal t −1 approach to the jammed state, while an inhomogeneous version of the process leads to nonuniversal t −p + decay, with 0 ≤ p + ≤ 1 the fraction of right growing rays.

برای دانلود رایگان متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

ar X iv : c on d - m at / 9 51 10 29 v 2 1 3 N ov 1 99 5 Spin gap in CaV 4 O 9 : a large S approach Marc

We study the stability of the 4-site plaquette order in a model recently introduced by Katoh and Imada to explain the spin gap observed in CaV4O9. We show that all relevant types of order (4-site plaquette, dimerized, Néel) can be described within the framework of Schwinger boson mean field theory, and we make predictions regarding their relative stability. The results are compared to exact dia...

متن کامل

ar X iv : c on d - m at / 9 51 10 67 v 1 1 4 N ov 1 99 5 Excitonic Phase Transition in Electronic Systems

Although predicted theoretically excitonic phase transitions have never been observed. Recently it has been claimed that they can occur in some strongly correlated materials. We study the possibility of an excitonic transition in a two-band model and show that a true phase transition never occurs in the presence of hybridization. We suggest an

متن کامل

ar X iv : c on d - m at / 9 61 11 80 v 1 2 3 N ov 1 99 6 Internal Forces and the Magnetoconductivity of a Nondegenerate 2 D Electron Fluid

X iv :c on dm at /9 61 11 80 v1 2 3 N ov 1 99 6 Internal Forces and the Magnetoconductivity of a Nondegenerate 2D Electron Fluid P. Fozooni, P.J. Richardson, and M.J. Lea Department of Physics, Royal Holloway, University of London, Egham, Surrey TW20 0EX, England M.I. Dykman and C. Fang-Yen[*] (a) Department of Physics and Astronomy, Michigan State University, MI 48824 (b) Department of Physics...

متن کامل

ar X iv : q - a lg / 9 51 10 18 v 1 2 3 N ov 1 99 5 Unitary operator bases and q - deformed algebras

Starting from the Schwinger unitary operator bases formalism constructed out of a finite dimensional state space, the well-known q-deformed commu-tation relation is shown to emerge in a natural way, when the deformation parameter is a root of unity.

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 1995