Garrido, L. (ed.), Far from Equilibrium Phase Transitions. Proceedings Xth Sitges Conference on Statistical Mechanics, Sitges, Barcelona, Spain, June 6–10, 1988. Berlin etc., Springer-Verlag 1988. VIII, 340 pp., DM 65,—. ISBN 3-540-50643-8 (Lecture Notes in Physics 319)

1990 ◽  
Vol 70 (9) ◽  
pp. 380-380
Author(s):  
A. Engel
Keyword(s):  
Phase Transitions ◽  
Statistical Mechanics ◽  
Equilibrium Phase ◽  
Lecture Notes ◽  
Far From Equilibrium

Semiconductor models for first and second order non-equilibrium phase transitions

1979 ◽  
Vol 365 (1723) ◽  
pp. 495-510 ◽  
Keyword(s):  
Phase Transitions ◽  
General Principle ◽  
Impact Ionization ◽  
Equilibrium Phase ◽  
Steady States ◽  
Second Order ◽  
Far From Equilibrium ◽  
P Type ◽  
Non Equilibrium

Non-equilibrium phase transitions in semiconductors due to impact ionization from traps have been obtained theoretically, and are discussed in detail. They include first and second order phase transitions, and develop previous work, which was restricted to second order phase transitions involving band-band processes. The models include switching transitions from non-conducting to conducting states, and from n- to p-type states. They furnish simple illustrations of the general principle that a system which is driven far from equilibrium can exhibit new stable steady states.

scholarly journals Interface Dynamics and Far-From-Equilibrium Phase Transitions in Multilayer Epitaxial Growth and Erosion on Crystal Surfaces: Continuum Theory Insights

2011 ◽  
Vol 1 (4) ◽  
pp. 297-371 ◽  
Author(s):  
Leonardo Golubović ◽  
Artem Levandovsky ◽  
Dorel Moldovan
Keyword(s):  
Phase Transitions ◽  
Epitaxial Growth ◽  
Crystal Surface ◽  
Equilibrium Phase ◽  
Continuum Theory ◽  
Mass Conservation ◽  
Crystal Surfaces ◽  
Theoretical Predictions ◽  
Far From Equilibrium ◽  
Interface Structures

AbstractWe review recent theoretical progress in the physical understanding of far-from-equilibrium phenomena seen experimentally in epitaxial growth and erosion on crystal surfaces. The formation and dynamics of various interface structures (pyramids, ripples, etc.), and also kinetic phase transitions observed between these structures, can all be understood within a simple continuum model based on the mass conservation law and respecting the symmetries of the growing crystal surface. In particular, theoretical predictions and experimental results are compared for (001), (110) and (111) crystal surfaces.

scholarly journals STATISTICAL MECHANICS OF EQUILIBRIUM AND NONEQUILIBRIUM PHASE TRANSITIONS: THE YANG–LEE FORMALISM

2005 ◽  
Vol 19 (29) ◽  
pp. 4269-4329 ◽  
Author(s):  
IOANA BENA ◽  
MICHEL DROZ ◽  
ADAM LIPOWSKI
Keyword(s):  
Phase Transitions ◽  
Partition Function ◽  
Statistical Mechanics ◽  
Equilibrium Phase ◽  
Study Phase ◽  
Nonequilibrium Phase Transitions ◽  
Nonequilibrium Phase

Showing that the location of the zeros of the partition function can be used to study phase transitions, Yang and Lee initiated an ambitious and very fruitful approach. We give an overview of the results obtained using this approach. After an elementary introduction to the Yang–Lee formalism, we summarize results concerning equilibrium phase transitions. We also describe recent attempts and breakthroughs in extending this theory to nonequilibrium phase transitions.

Introduction

2017 ◽  
Author(s):  
Jochen Rau
Keyword(s):  
Probability Theory ◽  
Phase Transitions ◽  
Statistical Mechanics ◽  
Conservation Laws ◽  
Law Of Large Numbers ◽  
Macroscopic Scale ◽  
Classical Probability ◽  
Large Numbers ◽  
Microscopic World ◽  
New Phenomena

Statistical mechanics concerns the transition from the microscopic to the macroscopic realm. On a macroscopic scale new phenomena arise that have no counterpart in the microscopic world. For example, macroscopic systems have a temperature; they might undergo phase transitions; and their dynamics may involve dissipation. How can such phenomena be explained? This chapter discusses the characteristic differences between the microscopic and macroscopic realms and lays out the basic challenge of statistical mechanics. It suggests how, in principle, this challenge can be tackled with the help of conservation laws and statistics. The chapter reviews some basic notions of classical probability theory. In particular, it discusses the law of large numbers and illustrates how, despite the indeterminacy of individual events, statistics can make highly accurate predictions about totals and averages.

Sign in / Sign up

Export Citation Format

Share Document