Tang Ying, Yuan Ruoshi, Ao Ping
Department of Physics and Astronomy, Shanghai Jiao Tong University, Shanghai 200240, China and Key Laboratory of Systems Biomedicine Ministry of Education, Shanghai Center for Systems Biomedicine, Shanghai Jiao Tong University, Shanghai 200240, China.
School of Biomedical Engineering, Shanghai Jiao Tong University, Shanghai 200240, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2014 Jun;89(6):062112. doi: 10.1103/PhysRevE.89.062112. Epub 2014 Jun 9.
The presence of multiplicative noise can alter measurements of forces acting on nanoscopic objects. Taking into account of multiplicative noise, we derive a series of nonequilibrium thermodynamical equalities as generalization of the Jarzynski equality, the detailed fluctuation theorem and the Hatano-Sasa relation. Our result demonstrates that the Jarzynski equality and the detailed fluctuation theorem remains valid only for systems with the Boltzmann-Gibbs distribution at the equilibrium state, but the Hatano-Sasa relation is robust with respect to different stochastic interpretations of multiplicative noise.
乘性噪声的存在会改变作用于纳米物体上力的测量结果。考虑到乘性噪声，我们推导了一系列非平衡热力学等式，作为对雅津斯基等式、详细涨落定理和波多野-笹关系的推广。我们的结果表明，雅津斯基等式和详细涨落定理仅在平衡态具有玻尔兹曼-吉布斯分布的系统中才成立，但波多野-笹关系对于乘性噪声的不同随机解释具有鲁棒性。
