Chapter 5 EXPLICIT KINETIC RELATION
نویسندگان
چکیده
We study a fuliy inertial discrete model of a martensitic phase transition which takes into account i'teractions of first and seconJ nearest neighbors. Although the model is Hamiltonian at the mi,croscale, itqenerates a nontrivial macroscopic relation between Lhe velocity of the mlrtensitic phase boundary and the conjugate configurational force. The appare't dissipatio' is due to the i'duced radiation of lattice waves carrying energy away from tlie front.
منابع مشابه
Chapter 5 EXPLICIT KINETIC RELATION FROM " FIRST PRINCIPLES "
We study a fully inertial discrete model of a martensitic phase transition which takes into account interactions of first and second nearest neighbors. Although the model is Hamiltonian at the microscale^ it generates a nontrivial macroscopic relation between the velocity of the martensitic phase boundary and the conjugate configurational force. The apparent dissipation is due to the induced ra...
متن کاملBeyond kinetic relations
We introduce the concept of kinetic or rate equations for moving defects representing a natural extension of the more conventional notion of a kinetic relation. Algebraic kinetic relations, widely used to model dynamics of dislocations, cracks and phase boundaries, link the instantaneous value of the velocity of a defect with an instantaneous value of the driving force. The new approach general...
متن کاملThe explicit relation among the edge versions of detour index
The vertex version of detour index was defined during the works on connected graph in chemistry. The edge versions of detour index have been introduced ecently. In this paper, the explicit relations among edge versions of detour index have been declared and due to these relations, we compute the edge detour indices for some well-known graphs.
متن کاملChromatic Polynomials
Table of contents Introduction 1. Relation of the present work to previous researches on map-coloring and summary of results. 356 2. Definitions. 358 Chapter I. First principles in the numerical and theoretical treatment of chromatic polynomials 1. The three fundamental principles. 362 2. The quadrilateral reduction formula. 363 3. The pentagon reduction formula. 365 4. The m-gon reduction form...
متن کاملFamily moderators of relation between community disadvantage and adolescent adjustment problems
iv CHAPTER ONE. INTRODUCTION 1 CHAPTER TWO. LITERATURE REVIEW 5 CHAPTER THREE. HYPOTHESES 23 CHAPTER FOUR. METHODS 29 CHAPTER FIVE. RESULTS 41 CHAPTER SIX. CONCLUSIONS AND DISCUSSION 53
متن کامل