Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , , |
|---|---|
| Format: | Preprint |
| Publié: |
2019
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866911504654139392 |
|---|---|
| author | Kundu, Aritra Dhar, Abhishek Sabhapandit, Sanjib |
| author_facet | Kundu, Aritra Dhar, Abhishek Sabhapandit, Sanjib |
| contents | We study a gas of point particles with hard-core repulsion in one dimension where the particles move freely in-between elastic collisions. We prepare the system with a uniform density on the infinite line. The velocities $\{v_i; i \in \mathbb{Z} \}$ of the particles are chosen independently from a thermal distribution. Using a mapping to the non-interacting gas, we analytically compute the equilibrium spatio-temporal correlations $\langle v_i^m(t) v_j^n(0)\rangle$ for arbitrary integers $m,n$. The analytical results are verified with microscopic simulations of the Hamiltonian dynamics. The correlation functions have ballistic scaling, as expected in an integrable model. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1909_01698 |
| institution | arXiv |
| publishDate | 2019 |
| record_format | arxiv |
| spellingShingle | Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas Kundu, Aritra Dhar, Abhishek Sabhapandit, Sanjib Statistical Mechanics Exactly Solvable and Integrable Systems We study a gas of point particles with hard-core repulsion in one dimension where the particles move freely in-between elastic collisions. We prepare the system with a uniform density on the infinite line. The velocities $\{v_i; i \in \mathbb{Z} \}$ of the particles are chosen independently from a thermal distribution. Using a mapping to the non-interacting gas, we analytically compute the equilibrium spatio-temporal correlations $\langle v_i^m(t) v_j^n(0)\rangle$ for arbitrary integers $m,n$. The analytical results are verified with microscopic simulations of the Hamiltonian dynamics. The correlation functions have ballistic scaling, as expected in an integrable model. |
| title | Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas |
| topic | Statistical Mechanics Exactly Solvable and Integrable Systems |
| url | https://arxiv.org/abs/1909.01698 |