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20242026
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5 papers

math-ph2026

The boundary-driven multispecies harmonic process

Francesco Casini, Rouven Frassek, Cristian GiardinÃ

The paper introduces a multispecies harmonic process on a one‑dimensional lattice with boundary reservoirs, linking its Markov generator to an integrable open rational Heisenberg s…

cond-mat.stat-mech2026

A Rayleigh criterion for mechanical instability: inducing activity by chemo-mechanical coupling

Aaron Beyen, Francesco Casini, Christian Maes

Instabilities in thermodynamic systems are often undesirable, as they can lead to loss of control or even catastrophic behavior. Yet, the same mechanisms can also generate rich non…

cond-mat.stat-mech2026

Uphill transport in competitive drift-diffusion models with volume exclusion

Francesco Casini, Cristian GiardinÃ, Jacopo Nicolini +2

This paper addresses uphill transport (defined as a regime in which particle flow is opposite to the prescriptions of Fick's diffusion) in drift-diffusion particle transport constr…

math.PR2025

Convergence of the KMP model to the KPZ equation

Guillaume Barraquand, Francesco Casini

We prove that the Kipnis-Marchioro-Presutti (KMP) process converges to the Kardar-Parisi-Zhang (KPZ) equation, as time goes to infinity, in a properly scaled observation window…

math.PR2024

A large deviation principle for the multispecies stirring process

Francesco Casini, Frank Redig, Hidde van Wiechen

In this paper we consider the multispecies stirring process on the discrete torus. We prove a large deviation principle for the trajectory of the vector of densities of the differe…