Random string: an explicitly solvable model
نویسندگان
چکیده
We calculate exactly the Lyapunov exponent and the integrated density of states for the random string operator whose density and elastic compliance are functions of a binary Markov chain. For all values of interest short and long wave asymptotic expansions are obtained. Finally we discuss conditions of propagation and localization of waves in a binary random medium.
منابع مشابه
String spectrum of curved string backgrounds obtained by T-duality and shifts of polar angles
A class of exactly solvable string models can be obtained by starting with flat space and combining T-duality and shifts of angular coordinates of several polar planes. The models are the analog of the Lunin-Maldacena β-deformation of the AdS5 × S type IIB string background, which is dual to a Leigh-Strassler deformation of N = 4 Super Yang-Mills Theory. We determine the complete physical strin...
متن کاملA Solvable Toy Model for Tachyon Condensation in String Field Theory
The lump solution of φ field theory provides a toy model for unstable D-branes of bosonic string theory. The field theory living on this lump is itself a cubic field theory involving a tachyon, two additional scalar fields, and a scalar field continuum. Its action can be written explicitly because the fluctuation spectrum of the lump turns out to be governed by a solvable Schroedinger equation;...
متن کاملExactly Solvable SFT Inspired Phantom Model
An exact solution to the Friedmann equations with a string inspired phantom scalar matter field is constructed and the absence of the “Big Rip” singularity is shown explicitly. The notable features of the concerned model are a ghost sign of the kinetic term and a special polynomial form of the effective tachyon potential. The constructed solution is stable with respect to small fluctuations of ...
متن کاملStochastic Facilities location Model by Using Stochastic Programming
Finding the location for plans like factories or warehousesfor any organization is an important and strategic decision. Costs oftransportation which are the main part of the price of the goods, is thefunction of the location of these projects. to find the optimum locationof these projects, there have been various methods proposed which areusually defined (not random). In reality and in dealing ...
متن کاملConstant magnetic field in closed string theory: an exactly solvable model
We consider a simple model describing a closed bosonic string in a constant magnetic field. Exact conformal invariance demands also the presence of a non-trivial metric and antisymmetric tensor (induced by the magnetic field). The model is invariant under target space duality in a compact Kaluza-Klein direction introduced to couple the magnetic field. Like open string theory in a constant gauge...
متن کاملذخیره 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 2005