Titlebook: Mathematical Challenges in a New Phase of Materials Science; Kyoto, Japan, August Yasumasa Nishiura,Motoko Kotani Conference proceedings 20

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harmony

有常识

978-4-431-56777-6Springer Japan KK, part of Springer Nature 2016

ALT

Mathematical Challenges in a New Phase of Materials Science978-4-431-56104-0Series ISSN 2194-1009 Series E-ISSN 2194-1017

GROWL

A Note on a Local Ergodic Theorem for an Infinite Tower of Coverings,This is a note on a local ergodic theorem for a symmetric exclusion process defined on an infinite tower of coverings, which is associated with a finitely generated residually finite amenable group.

提升

Construction of Negatively Curved Cubic Carbon Crystals via Standard Realizations,The method for constructing such crystal structures is based on the notion of the standard realization of abstract crystal lattices. In this paper, we expound on the mathematical method to construct such crystal structures.

压舱物

https://doi.org/10.1007/978-4-431-56104-0Discrete geometry; Dynamical system theory; Hierarchical structures; Non-equilibrium dynamics; Self-orga

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MITE

Topological Analysis of the Diblock Copolymer Equation, context of the diblock copolymer model for microphase separation, we will present new quantitative results on the microstructure topology during the initial phase separation from a homogeneous state, both for a deterministic and a stochastic version of the model. We also describe the long-term dyna

蛙鸣声

An Energy-Consistent Model of Dislocation Dynamics in an Elastic Body,eals a hidden gradient flow structure in the dislocation dynamics. The model is derived as a gradient flow for the sum of a regularized Allen-Cahn type energy in the slip plane and an elastic energy in the elastic body. The obtained model becomes a 3D-2D bulk-surface system and naturally includes th