Dynamical correlations of conserved quantities in the one-dimensional equal mass hard particle gas
Abstract
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 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 for arbitrary integers . The analytical results are verified with microscopic simulations of the Hamiltonian dynamics. The correlation functions have ballistic scaling, as expected in an integrable model.
- Publication:
-
Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- February 2020
- DOI:
- 10.1088/1742-5468/ab5d0c
- arXiv:
- arXiv:1909.01698
- Bibcode:
- 2020JSMTE..02.3205K
- Keywords:
-
- Condensed Matter - Statistical Mechanics;
- Nonlinear Sciences - Exactly Solvable and Integrable Systems
- E-Print:
- 13 pages, 3 figures