title: Superexponential fluctuation relation for dichotomous work reservoir systems.
abstract: This paper introduces an analytical description of the probability density function of the dissipated and injected powers p(j_{dis}) and p(j_{inj}), respectively, in a paradigmatic nonequilibrium damped system in contact with a work reservoir that is analytically represented by telegraph noise and to which one can assign an effective temperature. This approach is able to overcome the well-known impossibility of obtaining closed solutions to steady-state distributions of this system and allows determining a superexponential fluctuation relation of the injected power, which is not even asymptotically exponential as for (shot-noise) Poissonian reservoirs. In the white-noise limit, that relation converges to the exponential formula that is standard in thermal systems; however, the distribution of the injected power remains quite different from that of the latter instance. Surprisingly, it is actually shown that a Gaussian distribution, which is archetypal of thermal systems, for the injected power can be achievable only for athermal reservoirs of this kind.
authors.affiliation: Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems, 150 Rua Dr. Xavier Sigaud, 22290-180 Rio de Janeiro, Rio de Janeiro, Brazil.
authors.forename: Sílvio M
authors.initials: SM
authors.lastname: Duarte Queirós