Publication

The use of large scale potts pseudo-atomic model for 3D grain growth simulation

Thomas Liebling
1989
Journal Articles

Abstract

A three-dimensional generalization of a Potts pseudo-atomic model based on a stochastic process has been implemented on a CRAY-2 computer to study large networks during long simulations. The three-dimensional network was then sampled with two-dimensional cuts, which were analyzed and compared with reality. For many parameters a satisfactory agreement between simulation and reality was observed but discrepancies still exist. In particular, the presented results show that the simulated system is somewhat anisotropic. Moreover, it appears that, given the transition mechanism, the energy function presents several local minima in which the system stabilizes.

Official source

https://infoscience.epfl.ch/entities/publication/818ce62b-fe50-483c-a233-219812419fa0

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Thomas Liebling
1989
Journal Articles

Abstract

Official source

https://infoscience.epfl.ch/entities/publication/818ce62b-fe50-483c-a233-219812419fa0

About this result

Related concepts (32)

Four-dimensional space

Four-dimensional space (4D) is the mathematical extension of the concept of three-dimensional space (3D). Three-dimensional space is the simplest possible abstraction of the observation that one needs only three numbers, called dimensions, to describe the sizes or locations of objects in the everyday world. For example, the volume of a rectangular box is found by measuring and multiplying its length, width, and height (often labeled x, y, and z).

Simulation

A simulation is the imitation of the operation of a real-world process or system over time. Simulations require the use of models; the model represents the key characteristics or behaviors of the selected system or process, whereas the simulation represents the evolution of the model over time. Often, computers are used to execute the simulation. Simulation is used in many contexts, such as simulation of technology for performance tuning or optimizing, safety engineering, testing, training, education, and video games.

Three-dimensional space

In geometry, a three-dimensional space (3D space, 3-space or, rarely, tri-dimensional space) is a mathematical space in which three values (coordinates) are required to determine the position of a point. Most commonly, it is the three-dimensional Euclidean space, the Euclidean n-space of dimension n=3 that models physical space. More general three-dimensional spaces are called 3-manifolds. Technically, a tuple of n numbers can be understood as the Cartesian coordinates of a location in a n-dimensional Euclidean space.

Related publications (8)

The use of large scale potts pseudo-atomic model for 3D grain growth simulation

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