Dual modeling of political opinion networks

Wang, Ru; Wang, Qiuping Alexandre

doi:10.1103/physreve.84.036108

Cited by 9 publications

(9 citation statements)

References 17 publications

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“…The semi IPN hydrogels are formed by polymerization of the acrylic monomers in water containing dissolved sodium alginate. In this IPN formation sodium alginate also takes part in the polymerization reaction by forming macro radicals [16] as shown in Fig.2a. In the semi-IPN sodium alginate remains impregnated in the crosslink network of the copolymer (Fig.2b).…”

Section: Synthesis Of Hydrogelmentioning

confidence: 98%

“…From this figure it is observed that sodium alginate shows absorption band at 1106 and 1025.5 cm -1 due to stretching vibration of its C-OH group and 1624 cm -1 corresponding to asymmetric stretching vibration of its carboxylate (COO -) group. The absorption band of alginate at 1417 cm -1 may be ascribed to symmetrical stretching vibration of its COO-group while the absorption band at 3351 cm -1 is due to its hydroxyl (O-H) stretching [16,20]. The FTIR of the copolymer (CP) gel is also shown in Fig at around 1398 cm -1 of the copolymer due to C-N vibration of its acrylamide moiety is also observed to shift to 1369-1396 cm -1 in the SIPNs [21].…”

Section: Ftirmentioning

confidence: 98%

“…Wang and Wang grafted sodium alginate with sodium acrylate and prepared semi-IPN with this grafted copolymer and polyvinyl pyrolidone. This semi-IPN hydrogel was pH sensitive and showed good swelling properties [16]. Horia et al prepared IPNs of sodium alginate and polyacrylic acid by gama radiation.…”

Section: Introductionmentioning

confidence: 98%

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Adsorption of industrial dyes by semi-IPN hydrogels of Acrylic copolymers and sodium alginate

Bhattacharyya

Ray

2015

Journal of Industrial and Engineering Chemistry

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Section: Synthesis Of Hydrogelmentioning

confidence: 98%

Section: Ftirmentioning

confidence: 98%

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Adsorption of industrial dyes by semi-IPN hydrogels of Acrylic copolymers and sodium alginate

Bhattacharyya

Ray

2015

Journal of Industrial and Engineering Chemistry

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“…For cylindrically symmetry, one needs some physical and geometrical conditions to be imposed. In case of regular symmetry axis (to have gravitationa collapse) one must impose the following conditions [27] (i) Existence of symmetry axis: X ≡ ξ The energy momentum tensor for such a fluid which undergoes dissipation in the form of shear viscosity and heat flow is given by [6,7] …”

Section: Interior Matter Distribution and Basic Equationsmentioning

confidence: 99%

Gravitational collapse of dissipative fluid as a source of gravitational waves

Chakraborty

2016

Annals of Physics

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Gravitational collapse of cylindrical anisotropic fluid has been considered in analogy with the work of Misner and Sharp. Using Darmois matching conditions, the interior cylindrical dissipative fluid (in the form of shear viscosity and heat flux )is matched to an exterior vacuum Einstein-Rosen space-time. It is found that on the bounding 3-surface the radial pressure of the anisotropic perfect fluid is linearly related to the shear viscosity and the heat flux of the dissipative fluid on the boundary. This non-zero radial pressure on the bounding surface may be considered as the source of gravitational waves outside the collapsing matter distribution.

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“…For example, in an economic network formed by companies (nodes), each company has several essential features such as richness or capital, size, activity domain, age, diversity, openness and so on. In a political network composed of parties and groups, each political group has its own characteristic features, the same in the worldwide networks formed by the countries, so on and so forth.The phenomenological model of union and division has been used recently in a dual modeling of political opinion networks [18] in which union and division are two dominating events happening in the subnetwork of political parties. In present work, we are interested in knowing the behavior of a network dominated by the interplay of union/division which occurs as a function of the natures and features of the nodes.…”

mentioning

confidence: 99%

Long Division Unites or Long Union Divides: a Model for Social Network Evolution

Jian

Wang

Pezeril

et al. 2013

Chinese Phys. Lett.

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A remarkable phenomenon in the time evolution of many networks such as cultural, political, national and economic systems, is the recurrent transition between the states of union and division of nodes. In this work, we propose a phenomenological modeling, inspired by the maxim "long union divides and long division unites", in order to investigate the evolutionary characters of these networks composed of the entities whose behaviors are dominated by these two events. The nodes are endowed with quantities such as identity, ingredient, richness (power), openness (connections), age, distance, interaction etc. which determine collectively the evolution in a probabilistic way. Depending on a tunable parameter, the time evolution of this model is mainly an alternative domination of union or division state, with a possible state of final union dominated by one single node. This work is a network modeling of the social systems composed of a large number of entities in interaction whose existence is dominated by two major events: union and division. Union means unification of two or more nodes (of the network) into one. Division is the inverse process: one node splits into several ones. Union and division is one of the most visible social, economic, cultural and political phenomena in the course of the development of a large number of composite systems. Different countries, political or economic groups can be unified into one country or group. There are also plenty of examples of division of these unities. The recurrent character of this phenomenon is well summarized in the maxim "long union divides, long division unites", consequence of the interplay of a pair of opposite tendencies in many evolutionary systems.Union and division are veritable complex processes in which many factors are responsible of the consequences. A good example of this complexity is the cultural landscape of the world with the long history of birth, death and mutation of cultures through interaction (communication, influence etc.), unification and splitting of cultures which are in addition under very complicated and uncertain influence of demographic, genetic, economic, political, scientific and technological systems as well as of many accidental elements such as natural disasters, wars, environmental changes and so on. It is for this reason that the most suitable description of the stochastic evolution of this kind of systems is probabilistic modeling taking into account as many as possible the involved factors and interaction mechanisms.We present here a phenomenological modeling of networks in which union and division of nodes are two dom- * Electronic address: jiangj2007010209@gmail.com, Telephone:18007155327 inating events determined in a probabilistic way by the nature and some general features of the nodes. One of the aims is to see what would be the destiny and the evolution characters of a network composed of nodes endowed with some general attributes allowing and influencing unification and division under given conditions, without enter ...

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Dual modeling of political opinion networks

Cited by 9 publications

References 17 publications

Adsorption of industrial dyes by semi-IPN hydrogels of Acrylic copolymers and sodium alginate

Adsorption of industrial dyes by semi-IPN hydrogels of Acrylic copolymers and sodium alginate

Gravitational collapse of dissipative fluid as a source of gravitational waves

Long Division Unites or Long Union Divides: a Model for Social Network Evolution

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