2002 |
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4. | Hunjan, Jagtar S; Ramaswamy, R Global optimization by adiabatic switching Journal Article International Journal of Molecular Sciences, 3 (1), pp. 30–37, 2002, ISSN: 14220067. Abstract | Links | BibTeX | Tags: Adiabatic switching, Atomic Clusters, Global optimization, Ground states @article{Hunjan2002, title = {Global optimization by adiabatic switching}, author = {Jagtar S Hunjan and R Ramaswamy}, url = {https://ramramaswamy.org/papers/081.pdf}, doi = {10.3390/i3010030}, issn = {14220067}, year = {2002}, date = {2002-01-01}, journal = {International Journal of Molecular Sciences}, volume = {3}, number = {1}, pages = {30–37}, abstract = {We apply a recently introduced method for global optimization to determine the ground state energy and configuration for model metallic clusters. The global minimum for a given N-atom cluster is found by following the damped dynamics of the N particle system on an evolving potential energy surface. In this application, the time dependent interatomic potential interpolates adiabatically between the Lennard-Jones (LJ) and the Sutton-Chen (SC) forms. Starting with an ensemble of initial conditions corresponding to the ground state configuration of the Lennard-Jones cluster, the system asymptotically reaches the ground state of the Sutton-Chen cluster. We describe the method and present results for specific cluster size N=15, when the ground state symmetry of LJ$_N$ and SC$_N$ differ.}, keywords = {Adiabatic switching, Atomic Clusters, Global optimization, Ground states}, pubstate = {published}, tppubtype = {article} } We apply a recently introduced method for global optimization to determine the ground state energy and configuration for model metallic clusters. The global minimum for a given N-atom cluster is found by following the damped dynamics of the N particle system on an evolving potential energy surface. In this application, the time dependent interatomic potential interpolates adiabatically between the Lennard-Jones (LJ) and the Sutton-Chen (SC) forms. Starting with an ensemble of initial conditions corresponding to the ground state configuration of the Lennard-Jones cluster, the system asymptotically reaches the ground state of the Sutton-Chen cluster. We describe the method and present results for specific cluster size N=15, when the ground state symmetry of LJ$_N$ and SC$_N$ differ. |
1995 |
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3. | S K Nayak, Ramaswamy R; Chakravarty, C The maximal Lyapunov exponent in small atomic clusters Journal Article Physical Review E, 51 (4), pp. 3376–3380, 1995. Abstract | Links | BibTeX | Tags: Atomic Clusters, Lyapunov exponent @article{Nayak1995b, title = {The maximal Lyapunov exponent in small atomic clusters}, author = {S K Nayak, R Ramaswamy and C Chakravarty}, url = {https://link.aps.org/doi/10.1103/PhysRevE.51.3376}, doi = {10.1103/PhysRevE.51.3376}, year = {1995}, date = {1995-04-01}, journal = {Physical Review E}, volume = {51}, number = {4}, pages = {3376–3380}, abstract = {We study small clusters of atomic argon, Ar7 Ar13, and Ar55, in the temperature range where they undergo a transition from a solidlike phase to a liquidlike phase. The signature of the phase transition is clearly seen as a dramatic increase in the largest Lyapunov exponent as the cluster ‘‘melts.}, keywords = {Atomic Clusters, Lyapunov exponent}, pubstate = {published}, tppubtype = {article} } We study small clusters of atomic argon, Ar7 Ar13, and Ar55, in the temperature range where they undergo a transition from a solidlike phase to a liquidlike phase. The signature of the phase transition is clearly seen as a dramatic increase in the largest Lyapunov exponent as the cluster ‘‘melts. |
2. | Nayak, Saroj K; Ramaswamy, Ramakrishna; Chakravarty, Charusita 1/ f Spectra in finite atomic clusters Journal Article Physical Review Letters, 74 (21), pp. 4181–4184, 1995, ISSN: 00319007. Abstract | Links | BibTeX | Tags: Atomic Clusters, Power Spectra @article{Nayak1995, title = {1/ f Spectra in finite atomic clusters}, author = {Saroj K Nayak and Ramakrishna Ramaswamy and Charusita Chakravarty}, url = {https://ramramaswamy.org/papers/052.pdf}, doi = {10.1103/PhysRevLett.74.4181}, issn = {00319007}, year = {1995}, date = {1995-01-01}, journal = {Physical Review Letters}, volume = {74}, number = {21}, pages = {4181–4184}, abstract = {We study small clusters of atomic argon, Ar7, Ar13, and Ar55, in the temperature range when they undergo a transition from a solidlike phase to a liquidlike phase. The power spectra of potential energy fluctuations of tagged atoms in the liquid state show 1/f behavior over a wide range of frequency f, unlike either the solid phase or bulk liquid, and suggest a new experimental means of detecting cluster melting. The origin of this temporal scale invariance is explored by studying the individual potential energy distributions, which are observed to become multimodal when the clusters melt. textcopyright 1995 The American Physical Society.}, keywords = {Atomic Clusters, Power Spectra}, pubstate = {published}, tppubtype = {article} } We study small clusters of atomic argon, Ar7, Ar13, and Ar55, in the temperature range when they undergo a transition from a solidlike phase to a liquidlike phase. The power spectra of potential energy fluctuations of tagged atoms in the liquid state show 1/f behavior over a wide range of frequency f, unlike either the solid phase or bulk liquid, and suggest a new experimental means of detecting cluster melting. The origin of this temporal scale invariance is explored by studying the individual potential energy distributions, which are observed to become multimodal when the clusters melt. textcopyright 1995 The American Physical Society. |
1994 |
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1. | Nayak, S; Ramaswamy, R Complex dynamics of atomic clusters Journal Article Proceedings of the Indian Academy of Sciences – Chemical Sciences, 106 (2), pp. 521–530, 1994, ISSN: 0973-7103. Abstract | Links | BibTeX | Tags: Atomic Clusters, relaxations @article{Nayak1994, title = {Complex dynamics of atomic clusters}, author = {S Nayak and R Ramaswamy}, url = {https://doi.org/10.1007/BF02840767}, doi = {10.1007/BF02840767}, issn = {0973-7103}, year = {1994}, date = {1994-04-01}, journal = {Proceedings of the Indian Academy of Sciences – Chemical Sciences}, volume = {106}, number = {2}, pages = {521–530}, abstract = {Potential energy fluctuations in small atomic clusters have long-ranged temporal correlations, which lead to l/f noise in the power spectra. The relaxation dynamics in clusters has a hierarchical organization, resulting from different processes at the surface and core. A cellular dynamical model is proposed to understand the origin of such fluctuations.}, keywords = {Atomic Clusters, relaxations}, pubstate = {published}, tppubtype = {article} } Potential energy fluctuations in small atomic clusters have long-ranged temporal correlations, which lead to l/f noise in the power spectra. The relaxation dynamics in clusters has a hierarchical organization, resulting from different processes at the surface and core. A cellular dynamical model is proposed to understand the origin of such fluctuations. |