Asymptotically Solid Systems of Point Particles

#### V.A. Malyshev, E.N. Petrova, S.A. Pirogov

2020, v.26, Issue 2, 305-313

ABSTRACT

We define a solid $N$-particle system with the fixed distances $r(i,j)=c(i,j)$ between any two particles $i$ and $j$.
Its dynamics is defined as the limit of the dynamics for the system where
the Hamiltonian is the sum of the terms $w^2(r(i,j)- c(i,j))^2$
as $w^2$ tends to infinity. Three concrete examples are considered.

Keywords: point particles, solid collection, hamiltonian systems, dynamical equations