scholarly journals Hierarchy of boundary-driven phase transitions in multispecies particle systems

2011 ◽  
Vol 83 (1) ◽  
Author(s):  
Vladislav Popkov ◽  
Mario Salerno
Keyword(s):  
Phase Transitions ◽  
Particle Systems

scholarly journals Phase Transitions For Dilute Particle Systems with Lennard-Jones Potential

2010 ◽  
Vol 299 (3) ◽  
pp. 603-630 ◽  
Author(s):  
Andrea Collevecchio ◽  
Wolfgang König ◽  
Peter Mörters ◽  
Nadia Sidorova
Keyword(s):  
Phase Transitions ◽  
Particle Systems ◽  
Lennard Jones Potential ◽  
Jones Potential ◽  
Lennard Jones

ENTANGLEMENT AND ITS MULTIPARTITE EXTENSIONS

2012 ◽  
Vol 27 (01n03) ◽  
pp. 1345018 ◽  
Author(s):  
ANDREAS OSTERLOH
Keyword(s):  
Phase Transitions ◽  
Invariant Measures ◽  
Quantum Phase Transitions ◽  
Particle Systems ◽  
Quantum Phase ◽  
Many Body ◽  
Main Drawback ◽  
Linear Framework ◽  
Entanglement Measures ◽  
Many Particles

The aspects of many particle systems, as far as their entanglement is concerned, is highlighted. To this end we briefly review the bipartite measures of entanglement and the entanglement of pairs both for systems of distinguishable and indistinguishable particles. The analysis of these quantities in macroscopic systems shows that close to quantum phase transitions, the entanglement of many particles typically dominates that of pairs. This leads to an analysis of a method to construct many-body entanglement measures. SL-invariant measures are a generalization to quantities as the concurrence, and can be obtained with a formalism containing two (actually three) orthogonal antilinear operators. The main drawback of this antilinear framework, namely to measure these quantities in the experiment, is resolved by a formula linking the antilinear formalism to an equivalent linear framework.

scholarly journals FCC ↔ BCC Phase Transitions in Convex and Concave Hard Particle Systems

2019 ◽  
Vol 123 (42) ◽  
pp. 9038-9043 ◽  
Author(s):  
Duanduan Wan ◽  
Chrisy Xiyu Du ◽  
Greg van Anders ◽  
Sharon C. Glotzer
Keyword(s):  
Phase Transitions ◽  
Particle Systems ◽  
Hard Particle ◽  
Bcc Phase

scholarly journals Phase transitions and duality properties of a successional model

2005 ◽  
Vol 37 (01) ◽  
pp. 265-278 ◽  
Author(s):  
Nicolas Lanchier
Keyword(s):  
Phase Transitions ◽  
Particle System ◽  
Particle Systems ◽  
Interacting Particle System ◽  
Dual Process ◽  
Interacting Particle

The first purpose of this article is to study the phase transitions of a new interacting particle system. We consider two types of particle, each of which gives birth to particles of the same type as the parent. Particles of the second type can die, whereas those of the first type mutate into the second type. We prove that the three possible outcomes of the process, that is, extinction, survival of the type-2s, or coexistence, may each occur, depending on the selected parameters. Our second, and main, objective, however, is to investigate the duality properties of the process; the corresponding dual process exhibits a structure somewhat different to that of well-known particle systems.

scholarly journals Phase transitions and duality properties of a successional model

2005 ◽  
Vol 37 (1) ◽  
pp. 265-278 ◽  
Author(s):  
Nicolas Lanchier
Keyword(s):  
Phase Transitions ◽  
Particle System ◽  
Particle Systems ◽  
Interacting Particle System ◽  
Dual Process ◽  
Interacting Particle

The first purpose of this article is to study the phase transitions of a new interacting particle system. We consider two types of particle, each of which gives birth to particles of the same type as the parent. Particles of the second type can die, whereas those of the first type mutate into the second type. We prove that the three possible outcomes of the process, that is, extinction, survival of the type-2s, or coexistence, may each occur, depending on the selected parameters. Our second, and main, objective, however, is to investigate the duality properties of the process; the corresponding dual process exhibits a structure somewhat different to that of well-known particle systems.

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