“…--HTML-->There are many fundamental questions in particle and nuclear physics that cannot be addressed via classical computing techniques. These include the equation of state for finite density nuclear matter, real-time dynamics of quantum field theories from first-principles and non-perturbative aspects of chiral gauge theories. …”
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“…Hurwitz theory, the study of analytic functions among Riemann surfaces, is a classical field and active research area in algebraic geometry. …”
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“…Using crystal field theory and the molecular field approximation, we calculated the low-lying energy spectrum for iron ions and their interaction with electric and magnetic fields. …”
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“…Real-time evolution of quantum field theories using classical computers requires resources that scale exponentially with the number of lattice sites. …”
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“…The paper describes the displacement function approach first proposed by AJM Spencer for the formulation and solution of problems in second-order elasticity theory. The displacement function approach for the second-order problem results in a single inhomogeneous partial differential equation of the form [Formula: see text] , where [Formula: see text] is Stokes’ operator and [Formula: see text] depends only on the first-order or the classical elasticity solution. …”
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“…--HTML--><p>Recent years have seen enormous progress in our ability to compute elementary-particle scattering processes in quantum field theory. &nbsp;We will describe the application of modern ideas, including the duality between color and kinematics and advanced loop-integration methods, to studies of the ultraviolet properties of quantum gravity theories. …”
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“…Multi-configuration pair-density functional theory (MC-PDFT) has proved to be a powerful way to combine the capabilities of multi-configuration self-consistent-field theory to represent the an electronic wave function with a highly efficient way to include dynamic correlation energy by density functional theory. …”
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“…This book is a pedagogical presentation of the application of spectral and pseudospectral methods to kinetic theory and quantum mechanics. There are additional applications to astrophysics, engineering, biology and many other fields. …”
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“…Hyperbolic partial differential equations describe phenomena of material or wave transport in physics, biology and engineering, especially in the field of fluid mechanics. Despite considerable progress, the mathematical theory is still strug­ gling with fundamental open problems concerning systems of such equations in multiple space dimensions. …”
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“…Beyond the dielectric continuum description initiated by Marcus theory, the standard theoretical approach to study electron transfer (ET) reactions in solution or at interfaces is to use classical force field or ab initio molecular dynamics simulations. …”
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“…Model equilibration via molecular dynamics (MD) simulations is necessary to escape metastable states created during DFT energy minimizations based on the initial classical force field MD-derived starting configurations. …”
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“…These centralities are based on the individual position of each node and the cooperation and synergies between nodes have been ignored OBJECTIVES: Since in many cases, the network function is a consequence of cooperation and interaction between nodes, classical centralities were extended to a group of nodes instead of only individual nodes using cooperative game theory concepts. …”
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“…METHODS: Between October 2020 and July 2021 digitally recorded semi-structured one-on-one interviews were conducted virtually with adult cancer patients and informal caregivers in Manitoba, Canada. Transcriptions and field notes from the interviews were analyzed using classic grounded theory. …”
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“…[Image: see text] Recently we presented a first-generation all-atom Drude polarizable force field for DNA based on the classical Drude oscillator model, focusing on optimization of key dihedral angles followed by extensive validation of the force field parameters. …”
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“…A quantization scheme is developed for the radiation and higher order electromagnetic fields in one dimensional periodic, dispersive and absorbing dielectric medium. …”
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“…For the first time, the present paper proposes beam theory to model SWCNTs’ mechanical properties under combined temperature and electrostatic fields. …”
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“…The Seiberg-Witten map between non-commutative and commutative theories is described by a canonical transformation in the superphase space and in the field-antifield space. …”
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“…The connection between the early gluon production in classical field simulations and hydrodynamic expansion at later times is given by the QCD kinetic theory. …”
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“…The observations and calculations discussed in this work support the presence of internal electrostatic fields within the copper complexes, which subsequently influence the complexes' properties via a method orthogonal to classic ligand field tuning.…”
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