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We study the transport of inertial Brownian particles in steady laminar flowsin the presence of two-dimensional Gaussian potentials. Through extensivenumerical simulations, it is found that the transport is sensitively dependenton the external constant force and the Gaussian potential. Within tailoredparameter regimes, the system exhibits a rich variety of transport behaviors.In the absence of any external driving forces, the spontaneous rectification ofthe particles can be manipulated by the spatial position of the Gaussianpotential. Moreover, when the potential lies at the center of the cellularflow, the system exhibits absolute negative mobility (ANM), i.e., the particlescan move in a direction opposite to the constant force. More importantly, thephenomenon of ANM induced by Gaussian potential is robust in a wider range ofthe system parameters and can be further strengthened with the optimizedparameters, which may pave the way to the implementation of relatedexperiments.

Spontaneous rectification and absolute negative mobility of inertial Brownian particles induced by Gaussian potentials in steady laminar flows