scholarly journals Sharp phase transition for random loop models on trees

2021 ◽  
Vol 26 (none) ◽  
Author(s):  
Volker Betz ◽  
Johannes Ehlert ◽  
Benjamin Lees ◽  
Lukas Roth
Keyword(s):  
Phase Transition ◽  
Sharp Phase Transition

scholarly journals Concentration-driven phase transition and self-assembly in drying droplets of diluting whole blood

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
Anusuya Pal ◽  
Amalesh Gope ◽  
John D. Obayemi ◽  
Germano S. Iannacchione
Keyword(s):  
Phase Transition ◽  
Self Assembly ◽  
Whole Blood ◽  
Morphological Analysis ◽  
Hierarchical Structures ◽  
Contact Angle Measurement ◽  
Angle Measurement ◽  
Colloidal Systems ◽  
Functional Complexity ◽  
Sharp Phase Transition

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.

Non-percolating small metallic clusters and sharp suppression of metallicity in RE0.55Sr0.45Mn1−xRuxO3manganites

2018 ◽  
Vol 20 (4) ◽  
pp. 2431-2437 ◽  
Author(s):  
H. S. Alagoz ◽  
I. Živković ◽  
K. H. Chow ◽  
J. Jung
Keyword(s):  
Phase Transition ◽  
Ferromagnetic Metal ◽  
Metallic Clusters ◽  
A Site ◽  
Sharp Phase Transition

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.

scholarly journals MONTE CARLO SIMULATION OF THE RISE AND THE FALL OF LANGUAGES

2005 ◽  
Vol 16 (05) ◽  
pp. 781-787 ◽  
Author(s):  
CHRISTIAN SCHULZE ◽  
DIETRICH STAUFFER
Keyword(s):  
Phase Transition ◽  
Monte Carlo Simulation ◽  
Scaling Law ◽  
Biological Evolution ◽  
Mutation Rates ◽  
Random Mutation ◽  
Simple Scaling ◽  
Log Normal ◽  
Sharp Phase Transition ◽  
Fixed Population

Similar to biological evolution and speciation, we define a language through a string of 8 or 16 bits. The parent gives its language to its children, apart from a random mutation from zero to one or from one to zero; initially all bits are zero. The Verhulst deaths are taken as proportional to the total number of people, while in addition languages spoken by many people are preferred over small languages. For a fixed population size, a sharp phase transition is observed: For low mutation rates, one language contains nearly all people; for high mutation rates, no language dominates and the size distribution of languages is roughly log-normal as for present human languages. A simple scaling law is valid.

scholarly journals G-Intersection Theorems for Matchings and Other Graphs

2008 ◽  
Vol 17 (4) ◽  
pp. 559-575
Author(s):  
J. ROBERT JOHNSON ◽  
JOHN TALBOT
Keyword(s):  
Phase Transition ◽  
Positive Root ◽  
Sufficient Condition ◽  
Matching Number ◽  
Sharp Transition ◽  
Intersecting Family ◽  
Vertex Set ◽  
Almost All ◽  
Sharp Phase Transition

If G is a graph with vertex set [n] then $\mathcal{A}\subseteq 2^{[n]}$ is G-intersecting if, for all $A,B\in \mathcal{A}$, either A ∩ B ≠ ∅ or there exist a ∈ A and b ∈ B such that a ~Gb.The question of how large a k-uniform G-intersecting family can be was first considered by Bohman, Frieze, Ruszinkó and Thoma [2], who identified two natural candidates for the extrema depending on the relative sizes of k and n and asked whether there is a sharp phase transition between the two. Our first result shows that there is a sharp transition and characterizes the extremal families when G is a matching. We also give an example demonstrating that other extremal families can occur.Our second result gives a sufficient condition for the largest G-intersecting family to contain almost all k-sets. In particular we show that if Cn is the n-cycle and k > αn + o(n), where α = 0.266. . . is the smallest positive root of (1 − x)3(1 + x) = 1/2, then the largest Cn-intersecting family has size $(1-o(1))\binom{n}{k}$.Finally we consider the non-uniform problem, and show that in this case the size of the largest G-intersecting family depends on the matching number of G.

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