Titlebook: Lectures on Phase Field; Ingo Steinbach,Hesham Salama Textbook‘‘‘‘‘‘‘‘ 2023 The Editor(s) (if applicable) and The Author(s) 2023 Open Acce

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Tutorial 1: OpenPhaseer providing a concise overview of the main features of the library, the next section will walk you through the process of installing and compiling the software library. Finally, it describes the format of the simulation input file as well as how to comprehend and make use of each input parameter.

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Introductionther hand. A moving boundary solution here means the evolution, motion, of grain boundaries, phase boundaries or surfaces in multicrystalline materials as described by a set of partial differential equations. The thermodynamic aspect relates to the concept of an order parameter, identifying a phase,

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Concentrationtributed, causing solute diffusion. First different approached to handle this problem are discussed comparatively. Special emphasis is given to the problem of scale in a mesoscopic phase field model. In detail the currently most advanced model, the so-called finite interface dissipation model is exp

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Quantum Phase Fieldensional wave fronts, right- and left-moving are combined to define the doubloon, the basic element of mass and space. The interface energy of a standard phase field defines the mass of elementary particles. The non-zero values of the phase field, the core of the doubloon, defines space in an introv