We consider fluctuations of the dissipated energy in nonlinear driven diffusive systems subject to bulk dissipation and boundary driving. With this aim, we extend the recently-introduced macroscopic fluctuation theory to nonlinear driven dissipative media, starting from the fluctuating hydrodynamic equations describing the system mesoscopic evolution. Interestingly, the action associated to a path in mesoscopic phase-space, from which large-deviation functions for macroscopic observables can be derived, has the same simple form as in non-dissipative systems. This is a consequence of the quasi-elasticity of microscopic dynamics, required in order to have a nontrivial competition between diffusion and dissipation at the mesoscale. Euler-Lagrange equations for the optimal density and current fields that sustain an arbitrary dissipation fluctuation are also derived. A perturbative solution thereof shows that the probability distribution of small fluctuations is always gaussian, as expected from the central limit theorem. On the other hand, strong separation from the gaussian behavior is observed for large fluctuations, with a distribution which shows no negative branch, thus violating the Gallavotti-Cohen fluctuation theorem as expected from the irreversibility of the dynamics. The dissipation large-deviation function exhibits simple and general scaling forms for weakly and strongly dissipative systems, with large fluctuations favored in the former case but heavily supressed in the latter. (...) [see complete abstract by downloading the paper]
University of California, Berkeley（加州大学伯克利分校）；University of Nottingham（诺丁汉大学）；Kavli Energy NanoScience Institute（卡夫利能源纳米科学研究所）；Lawrence Berkeley National Laboratory（劳伦斯伯克利国家实验室）
Active Quantum Particles from Engineered Dissipation
Collège de France（法兰西学院）；PSL Research University（巴黎文理研究大学）；Sorbonne Université（索邦大学）；The Abdus Salam International Center for Theoretical Physics（阿卜杜斯·萨拉姆理论物理国际中心）；Università di Napoli “Federico II”（那不勒斯费德里科二世大学）
Planckian dissipation from classical hydrodynamics
IPhT, CNRS, CEA, Université Paris Saclay（法国原子能和替代能源委员会综合物理研究所）；Laboratoire de Physique de l’École Normale Supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université de Paris（巴黎高等师范学院物理实验室）；Institut für Theoretische Physik, Universität zu Köln（科隆大学理论物理研究所）
