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Description of a nuclear system in its ground state and at low excitations based on the equation of state (EoS) around normal density is presented. In the expansion of the EoS around the saturation point additional spin polarization terms…

The binding of clusters of metal nanoparticles is partly electrostatic. We address difficulties in calculating the electrostatic energy when high charging energies limit the total charge to a single quantum, entailing unequal potentials on…

Soft Condensed Matter · Physics 2016-03-23 Jian Qin , Nathan W. Krapf , Thomas A. Witten

The global optimization of atomic clusters represents a fundamental challenge in computational chemistry and materials science due to the exponential growth of local minima with system size (i.e., the curse of dimensionality). We introduce…

We analyze the structure diagram for binary clusters of Lennard-Jones particles by means of a global optimization approach for a large range of cluster sizes, compositions and interaction energies and present a publicly accessible database…

Soft Condensed Matter · Physics 2017-10-03 Marko Mravlak , Thomas Kister , Tobias Kraus , Tanja Schilling

There is compelling observational evidence that globular clusters (GCs) are quite complex objects. A growing body of photometric results indicate that the evolutionary sequences are not simply isochrones in the observational plane -as…

Astrophysics of Galaxies · Physics 2015-05-14 Angela Bragaglia

Determination of \emph{optimal} arrangements of $N$ particles on a sphere is a well-known problem in physics. A famous example of such is the Thomson problem of finding equilibrium configurations of electrical charges on a sphere. More…

Computational Physics · Physics 2019-11-06 Wesley J. M. Ridgway , Alexei F. Cheviakov

We present a universal method for the large-scale prediction of the atomic structure of clusters. Our algorithm performs the joint evolutionary search for all clusters in a given area of the compositional space and takes advantage of…

Materials Science · Physics 2018-12-18 S. V. Lepeshkin , V. S. Baturin , Yu. A. Uspenskii , Artem R. Oganov

Good a-priori bounds on the smallest pairwise distance $r_{\rm{{min}}}(\mbox{LJ}_N^{\rm{gmin}})$ for a three-dimensional (3D) Lennard-Jones $N$-body cluster of globally minimal energy can significantly reduce the computational search space…

Atomic and Molecular Clusters · Physics 2025-11-20 Michael K. -H. Kiessling , David J. Wales

We present the first simulation capable of resolving the structure of neutrino clustering on Mpc scales. The method combines grid- and particle-based methods and achieves very good accuracy on both small and large scales, while keeping CPU…

Cosmology and Nongalactic Astrophysics · Physics 2015-05-13 Jacob Brandbyge , Steen Hannestad

The search for specific signals in ultra-relativistic heavy-light ion collisions addressing intrinsic geometric features of nuclei may open a new window to low energy nuclear structure. We discuss specifically the phenomenon of…

Nuclear Theory · Physics 2014-11-24 Enrique Ruiz Arriola , Wojciech Broniowski

Hu, Kriz and May recently reexamined ideas implicit in Priddy's elegant homotopy theoretic construction of the Brown-Peterson spectrum at a prime p. They discussed May's notions of nuclear complexes and of cores of spaces, spectra, and…

Algebraic Topology · Mathematics 2007-05-23 A. J. Baker , J. P. May

We predict general trends for surface segregation in a binary metal cluster based on the difference between the atomic properties of the constituent elements. Considering the attractive and repulsive contributions of the cohesive energy of…

Materials Science · Physics 2008-05-12 Juan Andrés Reyes-Nava , José Luis Rodríguez-López , Umapada Pal

We generalize the small scale dynamics of the universe by taking into account models with an equation of state which evolves with time, and provide a complete formulation of the cluster virialization attempting to address the nonlinear…

Cosmology and Nongalactic Astrophysics · Physics 2009-09-01 S. Basilakos , J. C. Bueno Sanchez , Leandros Perivolaropoulos

We explore the appearance of light clusters at high densities of collapsing stellar cores. Special attention is paid to the unstable isotope H4, which was not included in previous studies. The importance of light clusters in the calculation…

Nuclear Theory · Physics 2018-12-27 Andrey Yudin , Matthias Hempel , Sergei Blinnikov , Dmitriy Nadyozhin , Igor Panov

Most of the novel energy materials contain multiple elements occupying a single site in their lattice. The exceedingly large configurational space of these materials imposes challenges in determining their ground-state structures. Coulomb…

Materials Science · Physics 2025-07-04 Konstantin Köster , Tobias Binninger , Payam Kaghazchi

The structure of nanoclusters is complex to describe due to their noncrystallinity, even though bonding and packing constraints limit the local atomic arrangements to only a few types. A computational scheme is presented to extract…

Materials Science · Physics 2009-11-13 Zhu Yang , Lei-Han Tang

We introduce and discuss the concept of \textit{arrangement}, traditionally found in the context of chemical reactions and few-body rearrangement collisions, in the general context of an $N$-body quantum system. We show that the ability for…

Quantum Physics · Physics 2022-11-18 Bo Gao

Light clusters (mass number $A \leq 4$) in nuclear matter at subsaturation densities are described using a quantum statistical approach. In addition to self-energy and Pauli-blocking, effects of continuum correlations are taken into account…

Nuclear Theory · Physics 2015-01-07 G. Röpke

We address the problem of minimal actuator placement in linear systems so that the volume of the set of states reachable with one unit or less of input energy is lower bounded by a desired value. First, following the recent work of…

Optimization and Control · Mathematics 2016-12-30 V. Tzoumas , M. A. Rahimian , G. J. Pappas , A. Jadbabaie

Adaptive quantum design identifies the best broken-symmetry configurations of atoms and molecules that enable a desired target function response. In this work, numerical optimization is used to design atomic clusters with specified…

Strongly Correlated Electrons · Physics 2009-11-10 Jason Thalken , Yu Chen , A. F. J. Levi , Stephan Haas