Medeiros João R, Duarte Queirós Sílvio M
Centro Brasileiro de Pesquisas Físicas and National Institute of Science and Technology for Complex Systems Rua Dr Xavier Sigaud, 150, 22290-180 Rio de Janeiro-RJ, Brazil.
Phys Rev E Stat Nonlin Soft Matter Phys. 2015 Dec;92(6):062145. doi: 10.1103/PhysRevE.92.062145. Epub 2015 Dec 29.
We study the thermostatistics of a damped bimodal particle, i.e., a particle of mass m subject to a work reservoir that is analytically represented by the telegraph noise. Because of the colored nature of the noise, it does not fit the Lévy-Itô class of stochastic processes, making this system an instance of a nonequilibrium system in contact with a non-Gaussian external reservoir. We obtain the statistical description of the position and velocity, namely in the stationary state, as well as the (time-dependent) statistics of the energy fluxes in the system considering no constraints on the telegraph noise features. With that result we are able to give an account of the statistical properties of the large deviations of the injected and dissipated power that can change from sub-Gaussianity to super-Gaussianity depending on the color of the noise. By properly defining an effective temperature for this system, T, we are capable of obtaining an equivalent entropy production-exchange rate equal to the ratio between the dissipation of the medium, γ, and the mass of the particle, m, a relation that concurs with the case of a standard thermal reservoir at temperature, T=T.
我们研究了一个阻尼双峰粒子的热统计学，即一个质量为(m)的粒子，它与一个由电报噪声解析表示的功库相互作用。由于噪声的有色性质，它不属于 Lévy-Itô 类随机过程，使得该系统成为一个与非高斯外部库接触的非平衡系统的实例。我们获得了位置和速度的统计描述，即在稳态下的描述，以及考虑到对电报噪声特征无约束的情况下系统中能量通量的（随时间变化的）统计。基于该结果，我们能够说明注入和耗散功率的大偏差的统计特性，这些特性可能会根据噪声的颜色从亚高斯性转变为超高斯性。通过为该系统正确定义一个有效温度(T)，我们能够获得一个等效的熵产生 - 交换率，该率等于介质的耗散(\gamma)与粒子质量(m)之比，这一关系与温度为(T = T)的标准热库的情况一致。
