scholarly journals Sharp phase transition for the random-cluster and Potts models via decision trees

2019 ◽  
Vol 189 (1) ◽  
pp. 75 ◽  
Author(s):  
Duminil-Copin ◽  
Raoufi ◽  
Tassion
2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Anusuya Pal ◽  
Amalesh Gope ◽  
John D. Obayemi ◽  
Germano S. Iannacchione

Abstract Multi-colloidal systems exhibit a variety of structural and functional complexity owing to their ability to interact amongst different components into self-assembled structures. This paper presents experimental confirmations that reveal an interesting sharp phase transition during the drying state and in the dried film as a function of diluting concentrations ranging from 100% (undiluted whole blood) to 12.5% (diluted concentrations). An additional complementary contact angle measurement exhibits a monotonic decrease with a peak as a function of drying. This peak is related to a change in visco-elasticity that decreases with dilution, and disappears at the dilution concentration for the observed phase transition equivalent to 62% (v/v). This unique behavior is clearly commensurate with the optical image statistics and morphological analysis; and it is driven by the decrease in the interactions between various components within this bio-colloid. The implications of these phenomenal systems may address many open-ended questions of complex hierarchical structures.


2018 ◽  
Vol 20 (4) ◽  
pp. 2431-2437 ◽  
Author(s):  
H. S. Alagoz ◽  
I. Živković ◽  
K. H. Chow ◽  
J. Jung

The origin of the anomalous sharp phase transition from a ferromagnetic metal into a ferromagnetic insulator has been investigated in ruthenium (Ru)-doped RE0.55Sr0.45Mn1−xRuxO3(0 ≤x≤ 0.25) manganites (RESRMO) with RE(A-site) = Sm, Eu and Gd.


1996 ◽  
Vol 181 (2) ◽  
pp. 507-528 ◽  
Author(s):  
H. -O. Georgii ◽  
O. Häggström

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