Crossover from First-Order to Continuous Phase Transition Induced by Symmetry-Breaking Fields

1979 ◽  
Vol 43 (4) ◽  
pp. 293-296 ◽  
Author(s):  
Michel Kerszberg ◽  
David Mukamel
Keyword(s):  
Phase Transition ◽  
Symmetry Breaking ◽  
Continuous Phase ◽  
Continuous Phase Transition ◽  
First Order

scholarly journals Continuous phase transitions on Galton–Watson trees

2021 ◽  
pp. 1-31
Author(s):  
Tobias Johnson
Keyword(s):  
Phase Transition ◽  
Phase Transitions ◽  
Discrete Systems ◽  
Continuous Phase ◽  
Recursive Structure ◽  
Continuous Phase Transition ◽  
First Order ◽  
First Order Phase Transition ◽  
The Mean ◽  
First Order Phase

Abstract Distinguishing between continuous and first-order phase transitions is a major challenge in random discrete systems. We study the topic for events with recursive structure on Galton–Watson trees. For example, let $\mathcal{T}_1$ be the event that a Galton–Watson tree is infinite and let $\mathcal{T}_2$ be the event that it contains an infinite binary tree starting from its root. These events satisfy similar recursive properties: $\mathcal{T}_1$ holds if and only if $\mathcal{T}_1$ holds for at least one of the trees initiated by children of the root, and $\mathcal{T}_2$ holds if and only if $\mathcal{T}_2$ holds for at least two of these trees. The probability of $\mathcal{T}_1$ has a continuous phase transition, increasing from 0 when the mean of the child distribution increases above 1. On the other hand, the probability of $\mathcal{T}_2$ has a first-order phase transition, jumping discontinuously to a non-zero value at criticality. Given the recursive property satisfied by the event, we describe the critical child distributions where a continuous phase transition takes place. In many cases, we also characterise the event undergoing the phase transition.

scholarly journals Continuous Phase Transition without Gap Closing in Non-Hermitian Quantum Many-Body Systems

2020 ◽  
Vol 125 (26) ◽  
Author(s):  
Norifumi Matsumoto ◽  
Kohei Kawabata ◽  
Yuto Ashida ◽  
Shunsuke Furukawa ◽  
Masahito Ueda
Keyword(s):  
Phase Transition ◽  
Continuous Phase ◽  
Many Body ◽  
Continuous Phase Transition ◽  
Many Body Systems ◽  
Gap Closing

Higher Order Criteria on the Continuous Phase Transition

1989 ◽  
Vol 58 (3) ◽  
pp. 898-904
Author(s):  
Ruibao Tao ◽  
Xiao Hu ◽  
Masuo Suzuki
Keyword(s):  
Phase Transition ◽  
Continuous Phase ◽  
Higher Order ◽  
Continuous Phase Transition

ATMOSPHERIC CONVECTION AS A CONTINUOUS PHASE TRANSITION: FURTHER EVIDENCE

2009 ◽  
Vol 23 (28n29) ◽  
pp. 5453-5465 ◽  
Author(s):  
OLE PETERS ◽  
J. DAVID NEELIN
Keyword(s):  
Phase Transition ◽  
Hurricane Katrina ◽  
Rain Rate ◽  
Extreme Event ◽  
Atmospheric Precipitation ◽  
Continuous Phase ◽  
Critical Parameters ◽  
Continuous Phase Transition ◽  
Scale Free ◽  
Tuning Parameters

We present further methods to investigate in how far atmospheric precipitation can be described as a continuous phase transition. Previous work has shown a scale-free range in the rainfall event size distribution and a suggestive power-law pickup in the rain rate above a critical level of instability. Here we examine an additional technique for estimating critical parameters, we investigate the rain rate pickup for an example of an extreme event, namely satellite observations of Hurricane Katrina, and develop an analysis of fluctuations in the rain rate to estimate uncertainties in the tuning parameters relevant for the transition.

Characterization of a continuous phase transition in a chaotic system

2020 ◽  
Vol 131 (2) ◽  
pp. 20002
Author(s):  
Edson D. Leonel ◽  
Makoto Yoshida ◽  
Juliano Antonio de Oliveira
Keyword(s):  
Phase Transition ◽  
Chaotic System ◽  
Continuous Phase ◽  
Continuous Phase Transition

Critical wetting and surface-induced continuous phase transition on Cu3Au(001)

1987 ◽  
Vol 66 (1) ◽  
pp. 103-106 ◽  
Author(s):  
S. F. Alvarado ◽  
M. Campagna ◽  
A. Fattah ◽  
W. Uelhoff
Keyword(s):  
Phase Transition ◽  
Continuous Phase ◽  
Continuous Phase Transition ◽  
Critical Wetting
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