Injected Power Fluctuations in 1D dissipative systems : role of ballistic transport

TL;DR

This paper analyzes energy injection fluctuations in a 1D dissipative spin system with drift, using an exact large deviation function calculation, revealing how injection rate and drift influence system behavior and connecting results to simpler phenomenological models.

Contribution

It provides an exact computation of the large deviation function for energy injection in a 1D dissipative spin system with drift, extending previous models and offering physical insights.

Findings

Energy injection fluctuations depend on injection rate and drift magnitude.

Qualitative behaviors can be understood via simplified phenomenological models.

The model's anisotropy makes it more comparable to experimental dissipative systems.

Abstract

This paper is a generalization of the models considered in [J. Stat. Phys. 128,1365 (2007)]. Using an analogy with free fermions, we compute exactly the large deviation function (ldf) of the energy injected up to time $t$ in a one-dimensional dissipative system of classical spins, where a drift is allowed. The dynamics are T=0 asymmetric Glauber dynamics driven out of rest by an injection mechanism, namely a Poissonian flipping of one spin. The drift induces anisotropy in the system, making the model more comparable to experimental systems with dissipative structures. We discuss the physical content of the results, specifically the influence of the rate of the Poisson injection process and the magnitude of the drift on the properties of the ldf. We also compare the results of this spin model to simple phenomenological models of energy injection (Poisson or Bernoulli processes of domain wall injection). We show that many qualitative results of the spin model can be understood within this simplified framework.