image: The word “fractal” originates from “fractional”. Few could imagine fractal bodies with non-integer dimensions between two-dimensional (a plane) and three-dimensional (a cube, for example) figures. However, there are many fractal bodies around us such as clouds and coastlines, indicating fractal shapes are the most natural and fundamental forms of existence in nature. Our finding of the universal relationship between physical properties and sample dimensions indicates that the dimensions also govern all kinds of physical and mechanical properties as a principle of nature. view more
Credit: © Toshio Naito, Ehime University
From heavenly bodies to human cells, everything in this universe? possesses finite dimensions in three directions in space, namely everything in the real world is three-dimensional, according to Euclidean geometry. However thin or small an object is fabricated by nanotechnology, the dimensions can not be altered. Accordingly, it has been firmly believed that nobody could change or control the dimensions of real matter. However, if we pay attention to fractal dimensions instead, dimension control is possible in a facile way.
We prepared a series of mixed powder samples with the same material but with different fractal dimensions, corresponding to a different mixed ratio between the substance of interest and wax. Using these samples, we examined their structures and various physical properties in detail. We also examined different materials with different properties to confirm the universality of the results. With the aid of theoretical calculation based on original models and methods, we discovered that there is a universal relationship between the sample fractal dimensions and their physical properties, such as electrical conduction and magnetism. This could be a newly unveiled principle of nature, where the dimension of matter governs all its physical and mechanical properties.
Journal
Physical Chemistry Chemical Physics
Article Title
The universal relationship between sample dimensions and cooperative phenomena: effects of fractal dimension on the electronic properties of high-TC cuprate observed using electron spin resonance
Article Publication Date
13-Dec-2021