title: ÐÐ½ÑÑÑÐµÐ½Ð½ÑÑ ÐºÐ¾ÑÐ° Ð¸ Ð¼Ð°Ð½ÑÐ¸Ñ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½ÑÑ Ð·Ð²ÐµÐ·Ð´: ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ ÑÐ´ÐµÑÐ½ÑÑ ÐºÐ»Ð°ÑÑÐµÑÐ¾Ð² Ð¸ Ð²Ð»Ð¸ÑÐ½Ð¸Ðµ Ð¸Ñ ÐºÐ¾Ð½ÐµÑÐ½Ð¾Ð³Ð¾ ÑÐ°Ð·Ð¼ÐµÑÐ° Ð½Ð° ÑÐ¿ÑÑÐ³Ð¸Ðµ ÑÐ²Ð¾Ð¹ÑÑÐ²Ð°
title: Ð²ÑÐ¿ÑÑÐºÐ½Ð°Ñ ÐºÐ²Ð°Ð»Ð¸ÑÐ¸ÐºÐ°ÑÐ¸Ð¾Ð½Ð½Ð°Ñ ÑÐ°Ð±Ð¾ÑÐ° Ð¼Ð°Ð³Ð¸ÑÑÑÐ°
titleType: Subtitle
title: The inner crust and mantle of neutron stars: stability of nuclear clusters and the influence of their finite size on the elastic properties
Creators: name: ÐÐµÐ¼Ð»ÑÐºÐ¾Ð², ÐÐ¸ÐºÐ¸ÑÐ°
Publisher: name: Ð¡Ð°Ð½ÐºÑ-ÐÐµÑÐµÑÐ±ÑÑÐ³ÑÐºÐ¸Ð¹ Ð¿Ð¾Ð»Ð¸ÑÐµÑÐ½Ð¸ÑÐµÑÐºÐ¸Ð¹ ÑÐ½Ð¸Ð²ÐµÑÑÐ¸ÑÐµÑ ÐÐµÑÑÐ° ÐÐµÐ»Ð¸ÐºÐ¾Ð³Ð¾
Year: 2023
Subjects: ÐÐ²ÐµÐ·Ð´Ñ Ð½ÐµÐ¹ÑÑÐ¾Ð½Ð½ÑÐµ
ÐºÐ°Ð¿ÐµÐ»ÑÐ½Ð°Ñ Ð¼Ð¾Ð´ÐµÐ»Ñ
Ð¿Ð»Ð¾ÑÐ½Ð¾Ðµ Ð²ÐµÑÐµÑÑÐ²Ð¾
Ð²ÑÑÐ¾Ð¶Ð´ÐµÐ½Ð½Ð¾Ðµ Ð²ÐµÑÐµÑÑÐ²Ð¾
ÑÑÑÐ¾Ð¹ÑÐ¸Ð²Ð¾ÑÑÑ ÑÐ´ÐµÑ
ÑÐ¿ÑÑÐ³Ð¾ÑÑÑ ÐºÐ¾ÑÑ
compressible liquid drop model
dense matter
degenerate matter
nucleus stability
elasticity of crust

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description: The given work is devoted to two questions: the stability of spherical nuclear clusters in the inner crust of neutron stars with respect to the quadrupole deformations and the influence of the finite size of spherical and cylindrical nuclear clusters on the elastic properties ofÂ  the inner crustÂ  and mantle of neutron stars. These questions required consideration because of the following reasons. First, it was often mentioned in the literature that the instability of spherical nuclear clusters with respect to quadrupole deformations should occur in the deepest layer of the inner crust; this instability was considered as a possible transition mechanism to the neutron star mantle. However, estimates of the threshold of this instability contradicted numerical calculations predicting the existence of spherical clusters in the unstable region. We showed that spherical clusters are, in fact, stable, resolving thus the contradiction. Secondly, in the deepest layers of the inner crust and mantle the sizes of clusters are comparable with the distance between them. It means that the elastic properties should be calculated taking into account the structure of the cluster. These calculations have been done analytically, within a compressible liquid drop model. In particular, it was shown that the shape of clusters is affected by deformation of the crust (mantle) and this effect reduces elastic coefficients significantly (up to 20-25%).