activity
20222026
most citedUphill in reaction-diffusion multi-species interacting particles systems

10 citations · 10 across the 8 of their papers we have counts for

collaborators

9 papers

math-ph2026

The boundary-driven multispecies harmonic process

Francesco Casini, Rouven Frassek, Cristian Giardinà

We introduce the multispecies version of the harmonic process on a one-dimensional chain in contact with boundary reservoirs. This process is a continuous-time Markov chain where e…

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 Giardinà, 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…

math-ph2023

Duality for the multispecies stirring process with open boundaries

Francesco Casini, Rouven Frassek, Cristian Giardinà

We study the stirring process with species on a generic graph with reservoirs. The multispecies stirring process generalizes the symmetric exclusion proce…

math.PR2023

Duality for a boundary driven asymmetric model of energy transport

Gioia Carinci, Francesco Casini, Chiara Franceschini

We study the Asymmetric Brownian Energy, a model of heat conduction defined on the one-dimensional finite lattice with open boundaries. The system is shown to be dual to the Symmet…

math.PR2023

Density fluctuations for the multi-species stirring process

Francesco Casini, Cristian Giardinà, Frank Redig

We study the density fluctuations at equilibrium of the multi-species stirring process, a natural multi-type generalization of the symmetric (partial) exclusion process. In the dif…

math-ph2022★ 10 cited

Uphill in reaction-diffusion multi-species interacting particles systems

Francesco Casini, Cristian Giardina, Cecilia Vernia

We study reaction-diffusion processes with multi-species of particles and hard-core interaction. We add boundary driving to the system by means of external reservoirs which inject…