The Contact Process on a Homogeneous Tree

1999 ◽  
pp. 153-166
Author(s):  
Rinaldo B. Schinazi
Keyword(s):  
Contact Process ◽  
Homogeneous Tree

The critical contact process on a homogeneous tree

1994 ◽  
Vol 31 (1) ◽  
pp. 250-255 ◽  
Author(s):  
Gregory J. Morrow ◽  
Rinaldo B. Schinazi ◽  
Yu Zhang
Keyword(s):  
Contact Process ◽  
Homogeneous Tree ◽  
Expected Number ◽  
Critical Contact ◽  
Number Of Particles

We prove that the expected number of particles of the critical contact process on a homogeneous tree is bounded above. This is the first graph for which the behavior of the expected number of particles of the critical contact process is known. As an easy corollary of our result we get that the critical contact process dies out on any homogeneous tree. This completes the work of Pemantle (1992).

The critical contact process on a homogeneous tree

1994 ◽  
Vol 31 (01) ◽  
pp. 250-255 ◽  
Author(s):  
Gregory J. Morrow ◽  
Rinaldo B. Schinazi ◽  
Yu Zhang
Keyword(s):  
Contact Process ◽  
Homogeneous Tree ◽  
Expected Number ◽  
Critical Contact ◽  
Number Of Particles

We prove that the expected number of particles of the critical contact process on a homogeneous tree is bounded above. This is the first graph for which the behavior of the expected number of particles of the critical contact process is known. As an easy corollary of our result we get that the critical contact process dies out on any homogeneous tree. This completes the work of Pemantle (1992).

scholarly journals Emergence of disconnected clusters in heterogeneous complex systems

2020 ◽  
Vol 10 (1) ◽  
Author(s):  
István A. Kovács ◽  
Róbert Juhász
Keyword(s):  
Complex Systems ◽  
Percolation Theory ◽  
Contact Process ◽  
Heterogeneous Systems ◽  
Critical Dynamics ◽  
Magnetic Domains ◽  
3 Dimensional ◽  
Quantum Ising Model ◽  
Highly Correlated ◽  
Exact Renormalization Group

AbstractPercolation theory dictates an intuitive picture depicting correlated regions in complex systems as densely connected clusters. While this picture might be adequate at small scales and apart from criticality, we show that highly correlated sites in complex systems can be inherently disconnected. This finding indicates a counter-intuitive organization of dynamical correlations, where functional similarity decouples from physical connectivity. We illustrate the phenomenon on the example of the disordered contact process (DCP) of infection spreading in heterogeneous systems. We apply numerical simulations and an asymptotically exact renormalization group technique (SDRG) in 1, 2 and 3 dimensional systems as well as in two-dimensional lattices with long-ranged interactions. We conclude that the critical dynamics is well captured by mostly one, highly correlated, but spatially disconnected cluster. Our findings indicate that at criticality the relevant, simultaneously infected sites typically do not directly interact with each other. Due to the similarity of the SDRG equations, our results hold also for the critical behavior of the disordered quantum Ising model, leading to quantum correlated, yet spatially disconnected, magnetic domains.

Self‐aligned contact process for Nb/Al‐AlOx/Nb Josephson junctions

1986 ◽  
Vol 48 (3) ◽  
pp. 254-256 ◽  
Author(s):  
Shin’ichi Morohashi ◽  
Shinya Hasuo ◽  
Toyoshi Yamaoka
Keyword(s):  
Josephson Junctions ◽  
Contact Process

scholarly journals Experimental Investigation of the Effects of Irradiating Schemes in Laser Tube Bending Process

Metals ◽  
2021 ◽  
Vol 11 (7) ◽  
pp. 1123
Author(s):  
Mehdi Safari ◽  
Ricardo J. Alves de Sousa ◽  
Jalal Joudaki
Keyword(s):  
Laser Beam ◽  
Contact Process ◽  
Steel Tube ◽  
Thickness Variation ◽  
Tube Bending ◽  
Lateral Bending ◽  
Bending Angle ◽  
Laser Tube ◽  
Bending Process ◽  
Thickness Variations

The laser tube bending process (LTBP) process is a thermal non-contact process for bending tubes with less springback and less thinning of the tube. In this paper, the laser tube bending process will be studied experimentally. The length of irradiation and irradiation scheme are two main affecting process parameters in the LTBP process. For this purpose, different samples according to two main irradiation schemes (Circular irradiating scheme (CIS) and axial irradiating scheme (AIS)) and different lengths of laser beam irradiation (from 4.7 to 28.2 mm) are fabricated. The main bending angle of laser-bent tube, lateral bending angle, ovality, and thickness variations is measured experimentally, and the effects of the irradiating scheme and the length of irradiation are investigated. An 18 mm diameter, 1 mm thick mild steel tube was bent with 1100 Watts laser beam. The results show that for both irradiating schemes, by increasing the irradiating length of the main and lateral bending angle, the ovality and thickness variation ratio of the bent tube are increased. In addition, for a similar irradiating length, the main bending angle with AIS is considerably higher than CIS. The lateral bending angle by AIS is much less than the lateral bending angle with CIS. The results demonstrate that the ovality percentage and the thickness variation ratio for the laser-bent tube obtained by CIS are much more than the values associated with by AIS laser-bent tube.

scholarly journals Contact process on regular tree with random vertex weights

2017 ◽  
Vol 12 (5) ◽  
pp. 1163-1181
Author(s):  
Yu Pan ◽  
Dayue Chen ◽  
Xiaofeng Xue
Keyword(s):  
Contact Process ◽  
Regular Tree

A contact process with a single inhomogeneous site

1996 ◽  
Vol 83 (3-4) ◽  
pp. 767-777 ◽  
Author(s):  
Rinaldo B. Schinazi
Keyword(s):  
Contact Process
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