An information theoretic model for the linear and nonlinear dissipative structures in irradiated single-walled carbon nanotubes

Ashraf, Afshan; Javeed, Sumera; Zeeshan, Sumaira; Yaqub, Kashif; Ahmad, Shoaib

doi:10.1016/j.cplett.2018.07.052

Cited by 5 publications

(7 citation statements)

References 25 publications

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“…Our focus is the emergence of order out of disorder. The reverse process of the disorder generated in ordered structures like the single-walled carbon nanotubes has recently been discussed with similar information-theoretic arguments elsewhere [26]. After providing a general description of the SRS model, we will discuss the evolution of ensembles of carbon cages out of the disorder of hot carbon vapor.…”

Section: The Modelmentioning

confidence: 84%

“…The mechanisms of formation of fullerenes in the soot generated by energetic heavy ion bombardments of graphite [11][12][13] and in the regenerative soot of hollow graphite discharges [14][15][16][17] have intrinsic similarities with the processes of fragmentation of the irradiated C60-fullerite [18] and carbon nanotubes [19]. With the help of the model developed here, we show that the energy dissipation and entropy generation during the formation and fragmentation stages can be described by the information-theoretic tools [20][21][22][23][24][25][26]. Two persistent themes have been noticed; (a) Maximum Entropy Production [27][28][29] may not be associated with the self-organizing, emergent structures, and (b) the inter-and intra-structural proesses play significant roles.…”

Section: Introductionmentioning

confidence: 99%

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Information generating, sharing, and manipulating Source-Reservoir-Sink model of self-organizing dissipative structures

Ahmad

2018

Chaos: An Interdisciplinary Journal of Nonlinear Science

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Shannon's information-theoretic description of the signal transmitter, the channel and receiver is extended to the network of self-organizing dissipative structures consisting of a source, a reservoir and a sink. The information-generation by the source is subjected to controlled manipulation by the reservoir before being transmitted to the sink. The reservoir can have memory and variable capacity for information storage. The reservoir can be physical and tangible like a lake or virtual like Google. In temporal terms, the reservoir as a manipulator of the received information, could last for millions of seconds or billionth of a second. The role of the reservoir in building the manipulative capacity for information storage and selective sharing is illustrated by the characteristic of asymmetric exchange between the reservoir and the sink. A Box-model is used to develop the model to represent material, process and information sharing among the source, the reservoir and the sink. The number of boxes is varied and the diagnostic tools like relative entropy, entropic cost of the output and fractal dimension are evaluated to characterize the model. The model is applied to self-organizing carbon cages with the end-directed evolution of the Buckyball. 2 Self-organizing dynamical systems are treated analogous to the networks of informationgenerating and sharing components. The Source is the generator and initiator of all information. This information is transmitted towards the eventual receiver-the Sink, through the intermediate stage of the Reservoir. Reservoir is treated as the only link between the Source and the Sink. An information-theoretic Source-Reservoir-Sink (SRS) model is developed where Reservoir is analogous to Shannon's Channel. Reservoir is shown to be the repository of material, energy and the consequent information. In Reservoir, material or information received from the Source can be manipulated. This information is delivered to the Sink. The Sink may receive (i) material output in various shapes, configurations or forms, or (ii) signals that are representative of the processes that occurred in the Reservoir, or (iii) useable or waste energy, etc. The Sink is the recipient of the material, information or it could also participate in the dynamical processes. The interactive participation of the Reservoir with Source and Sink is the core of the SRS model. Reservoir is shown to consist of one or more steps or stages of the self-organizing dissipative structures. SRS model is developed through interconnected Boxes that share material and information. Probability distributions are constructed that are used to calculate Shannon entropy, relative entropies and fractal dimensions. The model is applied to provide the information-theoretic description of the ensembles of self-organizing carbon cages with the emergence of the perfectly symmetrical C60 cage. The model has already been applied to fragmenting nanotubes.

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Section: The Modelmentioning

confidence: 84%

Section: Introductionmentioning

confidence: 99%

Information generating, sharing, and manipulating Source-Reservoir-Sink model of self-organizing dissipative structures

Ahmad

2018

Chaos: An Interdisciplinary Journal of Nonlinear Science

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“…The initial bottom-up sequence of the increasingly larger cages' formation is followed by the subsequent top-down shrinking cascades. In this communication, the top-down sequence of the fragmenting, self-organizing carbon cages is investigated by information-theoretic methods [16,28].…”

Section: The Closed Cages Of Carbon-fullerenesmentioning

confidence: 99%

“…The cage structure of fullerenes allows inter-cage, cage-to-cage transformations as cages to re-orient the pentagons and hexagons from thermodynamically unfavorable fullerene cages into more favored structures [28]. This scheme allows the intra-fullerene mechanism to operate for isomer changes.…”

Section: The Inter-and Intra-cage Rearrangements and Isomer Change Mementioning

confidence: 99%

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Information-theoretic model of self-organizing fullerenes and the emergence of C60

Ahmad

2018

Chemical Physics Letters

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An information-theoretic model describes the dissipative dynamical systems composed of ensembles of fragmenting, self-organizing fullerenes. The probabilities derived from the variations of the fullerene number densities that occur during → transformations are used to evaluate Shannon entropies for every carbon cage. Fractal dimension of the cages are calculated from their respective entropies. C60 is shown to emerges as the end-directed evolution of dynamical systems of four different ensembles of fullerenes. The information generating, transforming cages of carbon provide a perspective to evaluate the self-organizational behavior of dissipative structures.

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Experimental and Theoretical Aspects of the Fragmentation of Carbon’s Single- and Multiwalled Nanotubes

Javeed

Ahmad

2022

Handbook of Carbon Nanotubes

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An information theoretic model for the linear and nonlinear dissipative structures in irradiated single-walled carbon nanotubes

Cited by 5 publications

References 25 publications

Information generating, sharing, and manipulating Source-Reservoir-Sink model of self-organizing dissipative structures

Information generating, sharing, and manipulating Source-Reservoir-Sink model of self-organizing dissipative structures

Information-theoretic model of self-organizing fullerenes and the emergence of C60

Experimental and Theoretical Aspects of the Fragmentation of Carbon’s Single- and Multiwalled Nanotubes

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