منابع مشابه
Algorithmic Self-Assembly of DNA Sierpinski Triangles
Algorithms and information, fundamental to technological and biological organization, are also an essential aspect of many elementary physical phenomena, such as molecular self-assembly. Here we report the molecular realization, using two-dimensional self-assembly of DNA tiles, of a cellular automaton whose update rule computes the binary function XOR and thus fabricates a fractal pattern--a Si...
متن کاملStrict Self-assembly of Discrete Sierpinski Triangles
Winfree (1998) showed that discrete Sierpinski triangles can self-assemble in the Tile Assembly Model. A striking molecular realization of this self-assembly, using DNA tiles a few nanometers long and verifying the results by atomic-force microscopy, was achieved by Rothemund, Papadakis, and Winfree (2004). Precisely speaking, the above self-assemblies tile completely filled-in, two-dimensional...
متن کاملCosmological Uses of Casimir Energy
A precise zeta-function calculation shows that the contribution of the vacuum energy to the observed value of the cosmological constant can possibly have the desired order of magnitude albeit the sign strongly depends on the topology of the universe. The non-renormalizable, infinite contributions which have been recently shown to occur when one physically imposes boundary conditions on quantum ...
متن کاملCasimir energy of dielectric systems
This paper is devoted to study of Casimir effect [ 1] in dielectrics at zero temperature in the framework of quantum field theory. The presentation of the subject is based on the results and proofs derived by the author. The paper is organized as follows. In section 2 a new formula for the Casimir energy of a dispersive dilute dielectric ball [ 2] is discussed. In section 3 a path-integral meth...
متن کاملGeneration of Sierpinski Triangles: A Case Study for Graph Transformation Tools
In this paper, we consider a large variety of solutions for the generation of Sierpinski triangles, one of the case studies for the AGTIVE graph transformation tool contest [15]. A Sierpinski triangle shows a well-known fractal structure. This case study is mostly a performance benchmark, involving the construction of all triangles up to a certain number of iterations. Both time and space perfo...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Physical Review D
سال: 2017
ISSN: 2470-0010,2470-0029
DOI: 10.1103/physrevd.96.105010