ICTS:30568

Video URL

Exact Fluctuating Hydrodynamics of the Scaled Light-Heavy Model

Exact Fluctuating Hydrodynamics of the Scaled Light-Heavy Model

(2024). Exact Fluctuating Hydrodynamics of the Scaled Light-Heavy Model. SciVideos. https://youtu.be/Y-CHLwrcl0U

Exact Fluctuating Hydrodynamics of the Scaled Light-Heavy Model. SciVideos, Dec. 17, 2024, https://youtu.be/Y-CHLwrcl0U 

          @misc{ scivideos_ICTS:30568,
            doi = {},
            url = {https://youtu.be/Y-CHLwrcl0U},
            author = {},
            keywords = {},
            language = {en},
            title = {Exact Fluctuating Hydrodynamics of the Scaled Light-Heavy Model},
            publisher = {},
            year = {2024},
            month = {dec},
            note = {ICTS:30568 see, \url{https://scivideos.org/index.php/icts-tifr/30568}}
          }
Kabir Ramola
Talk numberICTS:30568
Source RepositoryICTS-TIFR
Collection

Abstract

We study the exact fluctuating hydrodynamics of the scaled Light-Heavy model (sLH), in which two species of particles (light and heavy) interact with a fluctuating surface. This model is similar in definition to the unscaled Light-Heavy model (uLH), except it uses rates scaled with the system size. The consequence, it turns out, is a phase diagram that differs from that of the unscaled model. We derive the fluctuating hydrodynamics for this model using an action formalism involving the construction of path integrals for the probability of different states that give the complete macroscopic picture starting from the microscopic one. This is then used to obtain a form for the two-point static correlation between fluctuations in density fields in the homogeneous phase in the steady state. We find that these theoretical results match well with microscopic simulations away from the critical line.