Journal ArticleDOI
Theory of first-order phase transitions
TLDR
In this paper, a review of various concepts about first-order phase transitions is given, with particular emphasis on metastable states near first order phase transitions, on the'stability limits' of such states (e.g., the spinodal curve of the gas-liquid transition) and on the dynamic mechanisms by which metastable state decay (nucleation and growth of droplets of a new phase).Abstract:
An introductory review of various concepts about first-order phase transitions is given. Rules for classification of phase transitions as second or first order are discussed, as well as exceptions to these rules. Attention is drawn to the rounding of first-order transitions due to finite-size or quenched impurities. Computational methods to calculate phase diagrams for simple model Hamiltonians are also described. Particular emphasis is laid on metastable states near first-order phase transitions, on the 'stability limits' of such states (e.g. the 'spinodal curve' of the gas-liquid transition) and on the dynamic mechanisms by which metastable states decay (nucleation and growth of droplets of a new phase, etc.).read more
Citations
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Journal ArticleDOI
Theory of phase-ordering kinetics
TL;DR: The theory of phase-ordering dynamics that is the growth of order through domain coarsening when a system is quenched from the homogeneous phase into a broken-symmetry phase, with the emphasis on recent developments, is reviewed in this paper.
Book ChapterDOI
Crystal Nucleation in Liquids and Glasses
TL;DR: In this paper, the authors focus on measurements and theories pertaining to homogeneous nucleation under cooled liquids and glasses that transform to phases of the same composition, and incorporate time-dependent nucleation and the interface kinetics into the field-theoretic approaches to give theories that are as widely applicable and, hence, testable as the classical theory.
Journal ArticleDOI
Applications of Monte Carlo methods to statistical physics
TL;DR: An introductory review of the Monte Carlo method for the statistical mechanics of condensed matter systems is given in this paper, where basic principles (random number generation, simple sampling versus importance sampling, Markov chains and master equations) are explained and some classical applications (self-avoiding walks, percolation, the Ising model) are sketched.
Journal ArticleDOI
Probabilistic reconstruction in compressed sensing: algorithms, phase diagrams, and threshold achieving matrices
TL;DR: In this paper, the authors present the probabilistic approach to reconstruction and discuss its optimality and robustness, and derive the derivation of the message passing algorithm for reconstruction and expectation maximization learning of signal model parameters.
Journal ArticleDOI
Direct imaging of the spatial and energy distribution of nucleation centres in ferroelectric materials.
Stephen Jesse,Brian J. Rodriguez,Somnath Choudhury,Arthur P. Baddorf,Ionela Vrejoiu,Dietrich Hesse,Marin Alexe,Eugene A. Eliseev,Anna N. Morozovska,J. X. Zhang,Long Qing Chen,Sergei V. Kalinin +11 more
TL;DR: An approach is developed to visualize the nucleation centres controlling polarization switching processes with nanometre resolution, determine their spatial and energy distribution and correlate them to local microstructure, using random-bond and random-field components of the disorder potential.
References
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Journal ArticleDOI
Equation of state calculations by fast computing machines
TL;DR: In this article, a modified Monte Carlo integration over configuration space is used to investigate the properties of a two-dimensional rigid-sphere system with a set of interacting individual molecules, and the results are compared to free volume equations of state and a four-term virial coefficient expansion.
Book
Phase Transitions and Critical Phenomena
TL;DR: The field of phase transitions and critical phenomena continues to be active in research, producing a steady stream of interesting and fruitful results as discussed by the authors, and the major aim of this serial is to provide review articles that can serve as standard references for research workers in the field.
Journal ArticleDOI
Kinetics of Phase Change. I General Theory
TL;DR: In this paper, the theory of phase change is developed with the experimentally supported assumptions that the new phase is nucleated by germ nuclei which already exist in the old phase, and whose number can be altered by previous treatment.
Journal ArticleDOI
Free Energy of a Nonuniform System. I. Interfacial Free Energy
John W. Cahn,John E. Hilliard +1 more
TL;DR: In this article, it was shown that the thickness of the interface increases with increasing temperature and becomes infinite at the critical temperature Tc, and that at a temperature T just below Tc the interfacial free energy σ is proportional to (T c −T) 3 2.
Journal ArticleDOI
The kinetics of precipitation from supersaturated solid solutions
I.M. Lifshitz,V.V. Slyozov +1 more
TL;DR: In this paper, an analysis is made of the process whereby diffusion effects can cause the precipitation of grains of a second phase in a supersaturated solid solution, and the kinetics of this type of grain growth are examined in detail.