Description
This book is about the growth of materials, and it discusses different theories that can be used to model this growth. The book is divided into three parts, and the first part discusses the different types of patterns that can be found in nature. The second part discusses the different theories that can be used to model the growth of materials, and the third part discusses how cell morphogenesis can be used to model the growth of materials.
There exists a wide variety of patterns in nature, from inert matter such as crystalline dendrites and flames, to filamentous fungi and neurones in the living world. Their structural evolution during growth can be theoretically modeled in order to predict the shape of their forms, their dimensions and their growth rate. New Visions on Growth and Form aims at answering such questions by employing different theoretical approaches and providing a critical appraisal. The book is part of the wide field of non-equilibrium statistical physics, and explores different mechanisms such as transport, interfacial tension, and chemical reactions, which govern the growth of a material. It explains the fundamental equations relating different morphological quantities, as well as the relevant experimental control parameters. From the unifying concepts arising in the theoretical approach the author proposes a tentative description of cell morphogenesis as a further application of the theory.