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cond-mat.stat-mech2026

Quasiparticle Diffusion for the Toda Fluid in Equilibrium

Seema Chahal, Alberto Brollo, Indranil Mukherjee +3

Many-body integrable systems can be understood as a gas of quasiparticles. They propagate ballistically and drive large-scale transport. However, with the exception of the hard rod…

cond-mat.stat-mech2025

Stochastic dynamics of quasiparticles in the hard rod gas

Seema Chahal, Indranil Mukherjee, Abhishek Dhar +2

We consider a one-dimensional gas of hard rods, one of the simplest examples of an interacting integrable model. It is well known that the hydrodynamics of such integrable models c…

cond-mat.stat-mech2025

Fixed Points and Universality Classes in Coupled Kardar-Parisi-Zhang Equations

Dipankar Roy, Abhishek Dhar, Manas Kulkarni +1

We study coupled KPZ equations with three control parameters . These equations are used in the context of stretched polymers in a random medium, for the spacetime spin-spin…

cond-mat.stat-mech2024

Lax random matrices from Calogero systems

Jitendra Kethepalli, Manas Kulkarni, Anupam Kundu +1

We study a class of random matrices arising from the Lax matrix structure of classical integrable systems, particularly the Calogero family of models. Our focus is the density of e…

cond-mat.stat-mech20241 cited

Universality in coupled stochastic Burgers systems with degenerate flux Jacobian

Dipankar Roy, Abhishek Dhar, Konstantin Khanin +2

In our contribution we study stochastic models in one space dimension with two conservation laws. One model is the coupled continuum stochastic Burgers equation, for which each cur…

cond-mat.stat-mech2023

Thermalization and hydrodynamics in an interacting integrable system: the case of hard rods

Sahil Kumar Singh, Abhishek Dhar, Herbert Spohn +1

We consider the relaxation of an initial non-equilibrium state in a one-dimensional fluid of hard rods. Since it is an interacting integrable system, we expect it to reach the Gene…