• G Mukherjee

      Articles written in Pramana – Journal of Physics

    • Correlations and clustering in a scale-free network in Euclidean space

      A K Nandi G Mukherjee S S Manna

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      Empirical study shows that many real networks in nature and society share two generic properties: they are scale-free and they display a high degree of clustering. Quite often they are modular in nature also, implying occurrences of several small tightly linked groups which are connected in a hierarchical manner among themselves. Recently, we have introduced a model of spatial scale-free network where nodes pop-up at randomly located positions in the Euclidean space and are connected to one end of the nearest link of the existing network. It has been already argued that the large scale behaviour of this network is like the Barabási–Albert model. In the present paper we briefly review these results as well as present additional results on the study of non-trivial correlations present in this model which are found to have similar behaviours as in the real-world networks. Moreover, this model naturally possesses the hierarchical characteristics lacked by most of the models of the scale-free networks.

    • Decay of Hoyle state

      S Bhattacharya T K Rana C Bhattacharya S Kundu K Banerjee T K Ghosh G Mukherjee R Pandey P Roy

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      The prediction of Hoyle state was necessitated to explain the abundance of carbon, which is crucial for the existence of life on Earth and is the stepping stone for understanding the abundance of other heavier elements. After the experimental confirmation of its existence, soon it was realized that the Hoyle state was `different’ from other excited states of carbon, which led to intense theoretical and experimental activities over the past few decades to understand its structure. In recent times, precision, high statistics experiments on the decay of Hoyle state have been performed at the Variable Energy Cyclotron Centre, to determine the quantitative contributions of various direct $3\alpha$ decay mechanisms of the Hoyle state. The present results have been critically compared with those obtained in other recent experiments and their implications have been discussed.

    • Fusion–fission dynamics studies using mass distribution as a probe

      T K Ghosh A Chaudhuri K Banerjee S Bhattacharya C Bhattacharya S Kundu G Mukherjee R Pandey T K Rana P Roy T Roy V Srivastava P Bhattacharya

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      Study of quasifission reaction mechanism and shell effects in compound nuclei has important implications on the synthesis of superheavy elements (SHE). Using the major accelerator facilities available in India, quasifission reaction mechanism and shell effects in compound nuclei were studied extensively. Fission fragment mass distribution was used as a probe. Two factors, viz., nuclear orientation and direction of mass flow of the initial dinuclear system after capture were seen to determine the extent of quasifission. From the measurement of fragment mass distribution in 𝛼-induced reaction on actinide targets, it was possible to constrain the excitation energy at which nuclear shell effect washed out.

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