Hysteresis and Phase Transitions
Publisher: Springer New York
Published: 2011
Language: eng
Number of pages: 372
ISBN-13: 9781461284789
Subjects: Hysteresis; Phase transformations (statistical physics)
Description: This book presents a mathematical analysis of hysteretic phenomena, where two complementary viewpoints are taken: at first, scalar rate independent hysteresis is studied in a general setting that is based on the interplay between a discrete diagram-oriented and a function space approach: later, the connections between the occurrence of hysteresis and physical mechanisms like energy dissipation and phase transitions are discussed. The exposition ranges from the thermodynamic foundation of phenomenological theories of phase transitions over the variational formulation of the resulting initial-boundary value problems to the rigorous proof of results concerning existence, uniqueness and numerical approximation.