Why charges go to the surface: A generalized Thomson problem
نویسندگان
چکیده
منابع مشابه
Why charges go to the surface: a generalized Thomson problem
– We study a variant of the generalized Thomson problem in which n particles are confined to a neutral sphere and interacting by a 1/r potential. It is found that for γ ≤ 1 the electrostatic repulsion expels all the charges to the surface of the sphere. However for γ > 1 and n > nc(γ) occupation of the bulk becomes energetically favorable. It is curious to note that the Coulomb law lies exactly...
متن کاملCrystalline order on a sphere and the generalized Thomson problem.
We attack the generalized Thomson problem, i.e., determining the ground state energy and configuration of many particles interacting via an arbitrary repulsive pairwise potential on a sphere via a continuum mapping onto a universal long range interaction between angular disclination defects parametrized by the elastic (Young) modulus Y of the underlying lattice and the core energy E(core) of an...
متن کاملModified Thomson problem.
The modified Thomson problem, which concerns an assembly of N particles mutually interacting through a Coulombic potential and subject to a Coulombic-harmonic confinement, is introduced. For sufficiently strong confinement strengths M, properties of its solutions (such as the energy and the particle positions at the minimum, and the corresponding zero-point vibrational energy) are accurately es...
متن کاملWhy the Generalized Gradient Approximation Works and How to Go Beyond It
Ž . The local spin density LSD approximation, while of only moderate accuracy, has proven extremely reliable over three decades of use. We argue that any gradient-corrected functional should preserve the correct features of LSD, even if the system under study Ž . contains no regions of small density gradient. The Perdew]Wang 1991 PW91 functional Ž . respects this condition, while, e.g., the Lee...
متن کاملWhy No Negative Gravitational Charges ?
We discuss why there are no negative gravitational sources in General Relativity and show that it is possible to extend the classical theory such that repulsive gravitational interaction occurs. This is the summary of a talk given at the 17th International Conference on Supersymmetry and the Unification of Fundamental Interactions in Boston, June 2009.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Europhysics Letters (EPL)
سال: 2003
ISSN: 0295-5075,1286-4854
DOI: 10.1209/epl/i2003-00546-1