Dynamic transition in a Brownian fluid: role of fluctuation-dissipation constraints
Abstract
In this paper we study equations of fluctuating non-linear hydrodynamics (FNH) for a liquid in which the constituent particles follow Brownian dynamics (BD). Here the microscopic-level dynamics are dissipative as compared to the case of fluids with reversible Newtonian dynamics (ND). The implications of non-linearities in FNH equations for an ND liquid on its long-time dynamics and the possibility of an ideal ergodicity-non-ergodicity (ENE) transition at high density have been widely investigated in literature. It is known that in an ND fluid, dynamics described by FNH equations do not support a sharp ENE transition. In the present paper we demonstrate that, as a consequence of the fluctuation-dissipation constraints, an ideal ENE transition is also not supported from the FNH equations for BD fluid.
- Publication:
-
Journal of Statistical Mechanics: Theory and Experiment
- Pub Date:
- February 2020
- DOI:
- 10.1088/1742-5468/ab684c
- Bibcode:
- 2020JSMTE..02.3208D