Phase transitions in two-dimensional stochastic cellular automata

1986 ◽  
Vol 19 (2) ◽  
pp. L69-L75 ◽  
Author(s):  
K Kaneko ◽  
Y Akutsu
Keyword(s):  
Phase Transitions ◽  
Cellular Automata ◽  
Two Dimensional ◽  
Stochastic Cellular Automata

Phase Transitions in 2-dimensional Stochastic Cellular Automata

1986 ◽  
pp. 103-111 ◽  
Author(s):  
Yukito Iba ◽  
Yasuhiro Akutsu ◽  
Kunihiko Kaneko
Keyword(s):  
Phase Transitions ◽  
Cellular Automata ◽  
Stochastic Cellular Automata

Cellular Automata Simulations of Vapor–Liquid Equilibria

2006 ◽  
Vol 59 (12) ◽  
pp. 865
Author(s):  
Paul G. Seybold ◽  
Matthew J. O'Malley ◽  
Lemont B. Kier ◽  
Chao-Kun Cheng
Keyword(s):  
Phase Transitions ◽  
Liquid Phase ◽  
Cellular Automata ◽  
Short Range ◽  
Environmental Sciences ◽  
Stochastic Cellular Automata ◽  
Cellular Automata Model ◽  
Vapor Interface ◽  
Atmospheric Profile ◽  
Vapor Liquid Equilibria

Phase transitions and phase equilibria are among the most fundamental phenomena in the physical and environmental sciences. In the present work an asynchronous stochastic cellular automata model for the equilibrium between a liquid and its vapor is presented. The model is visual, dynamic, and employs just two rules—an attraction probability and a gravitational preference. Application of the attraction rule alone yields a ‘mist’ within the vapor, whereas application of the gravitational rule by itself yields an isothermal atmospheric profile. Application of both rules together causes the vapor to evolve to a liquid phase with a vapor phase above it. Introduction of a third rule for short-range attraction/repulsion more clearly resolves the liquid/vapor interface.

scholarly journals Phase transitions in GLSMs and defects

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ilka Brunner ◽  
Fabian Klos ◽  
Daniel Roggenkamp
Keyword(s):  
Phase Transitions ◽  
Boundary Conditions ◽  
Sigma Models ◽  
Domain Walls ◽  
Two Dimensional ◽  
Linear Sigma Models

Abstract In this paper, we construct defects (domain walls) that connect different phases of two-dimensional gauged linear sigma models (GLSMs), as well as defects that embed those phases into the GLSMs. Via their action on boundary conditions these defects give rise to functors between the D-brane categories, which respectively describe the transport of D-branes between different phases, and embed the D-brane categories of the phases into the category of D-branes of the GLSMs.

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