SIR rumor spreading model considering the effect of difference in nodes’ identification capabilities

2017 ◽  
Vol 28 (05) ◽  
pp. 1750060 ◽  
Author(s):  
Ya-Qi Wang ◽  
Jing Wang
Keyword(s):  
Transmission Rate ◽  
Mean Field Theory ◽  
Mean Field ◽  
Rumor Spreading ◽  
Network Nodes ◽  
Critical Thresholds ◽  
Rumor Propagation ◽  
Dynamical Behaviors ◽  
The Mean ◽  
The Difference

In this paper, we study the effect of difference in network nodes’ identification capabilities on rumor propagation. A novel susceptible-infected-removed (SIR) model is proposed, based on the mean-field theory, to investigate the dynamical behaviors of such model on homogeneous networks and inhomogeneous networks, respectively. Theoretical analysis and simulation results demonstrate that when we consider the influence of difference in nodes’ identification capabilities, the critical thresholds obviously increase, but the final rumor sizes are apparently reduced. We also find that the difference in nodes’ identification capabilities prolongs the time of rumor propagation reaching a steady state, and decreases the number of nodes that finally accept rumors. Additionally, under the influence of difference of nodes’ identification capabilities, compared with the homogeneous networks, the rumor transmission rate on the inhomogeneous networks is relatively large.

scholarly journals Universality in Glass Transitions

2018 ◽  
Author(s):  
Roumen Tsekov ◽  
Tony Spassov
Keyword(s):  
Field Theory ◽  
Gibbs Energy ◽  
Critical Exponent ◽  
Excess Gibbs Energy ◽  
Mean Field Theory ◽  
Mean Field ◽  
Activation Energies ◽  
Glass Transitions ◽  
The Mean ◽  
The Difference

The Vogel-Fulcher-Tammann equation is exposed as a particular example of the mean field theory. It is generalized by taking into account an arbitrary critical exponent of susceptibility, discriminating between different classes of universality. The Bell-Evans-Polanyi principle is employed to estimate the difference between the activation energies of flows in crystals and glasses, which appears to coincide with the excess Gibbs energy of the glass compared to the crystal.

scholarly journals CLUSTERIZATION, FRUSTRATION AND COLLECTIVITY IN RANDOM NETWORKS

2007 ◽  
Vol 18 (11) ◽  
pp. 1765-1773 ◽  
Author(s):  
ANNA MAŃKA ◽  
KRZYSZTOF MALARZ ◽  
KRZYSZTOF KUŁAKOWSKI
Keyword(s):  
Social Systems ◽  
Mean Field Theory ◽  
Mean Field ◽  
Heat Bath ◽  
Clustering Coefficient ◽  
Random Networks ◽  
Network Nodes ◽  
Spin Glass Phase ◽  
The Mean ◽  
Ising Spins

We consider the random Erdös–Rényi network with enhanced clusterization and Ising spins s = ±1 at the network nodes. Mutually linked spins interact with energy J. Magnetic properties of the system that are dependent on the clustering coefficient C are investigated with the Monte Carlo heat bath algorithm. For J > 0 the Curie temperature Tc increases from 3.9 to 5.5 when C increases from almost zero to 0.18. These results deviate only slightly from the mean field theory. For J < 0 the spin-glass phase appears below TSG; this temperature decreases with C, on the contrary to the mean field calculations. The results are interpreted in terms of social systems.

scholarly journals Evidence of exactness of the mean-field theory in the nonextensive regime of long-range classical spin models

2000 ◽  
Vol 61 (17) ◽  
pp. 11521-11528 ◽  
Author(s):  
Sergio A. Cannas ◽  
A. C. N. de Magalhães ◽  
Francisco A. Tamarit
Keyword(s):  
Field Theory ◽  
Long Range ◽  
Mean Field Theory ◽  
Mean Field ◽  
Spin Models ◽  
Classical Spin ◽  
The Mean ◽  
Classical Spin Models

scholarly journals RELATIVE MOTION CORRECTION TO FISSION BARRIERS

2008 ◽  
Vol 17 (01) ◽  
pp. 151-159 ◽  
Author(s):  
J. SKALSKI
Keyword(s):  
Relative Motion ◽  
Cluster Model ◽  
Motion Correction ◽  
Mean Field Theory ◽  
Mean Field ◽  
Ternary Fission ◽  
Skyrme Interaction ◽  
Hartree Fock ◽  
Fission Barriers ◽  
The Mean

We discuss the effect of kinetic energy of the relative motion becoming spurious for separate fragments on the selfconsistent mean-field fission barriers. The treatment of the relative motion in the cluster model is contrasted with the necessity of a simpler and approximate approach in the mean-field theory. A scheme of the energy correction to the Hartree-Fock is proposed. The results obtained with the effective Skyrme interaction SLy 6 show that the correction, previously estimated as ~ 8 MeV in A = 70 - 100 nuclei, amounts to 4 MeV in the medium heavy nucleus 198 Hg and to null in 238 U . However, the corrected barrier implies a shorter fission half-life of the latter nucleus. The same effect is expected to lower barriers for multipartition (i.e. ternary fission, etc) and make hyperdeformed minima less stable.

MODIFIED VAN DER WAALS MODEL FOR SURFACE-MELTING DISCUSSION

1995 ◽  
Vol 02 (06) ◽  
pp. 773-785 ◽  
Author(s):  
L. WOJTCZAK ◽  
J.H. RUTKOWSKI
Keyword(s):  
Thermodynamic Potential ◽  
Van Der Waals ◽  
Mean Field Theory ◽  
Mean Field ◽  
Energy Functional ◽  
Surface Melting ◽  
Free Energy Functional ◽  
Thickness Profile ◽  
The Mean ◽  
Surface Liquid

The thermodynamic potential governing the surface-melting, considered in terms of the crystallinity and its profile is related to the Gibbs free-energy functional, leads to van der Waals equation of state. The presented construction allows us to determine the mean-field coefficients by their reference to material constants. The model is applied to the surface-melting discussion within the Landau-type mean-field theory of phase-transitions. In particular, the surface-melting temperature is estimated and temperature dependence of the surface liquid-like layer thickness profile is obtained.

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