where n is the number of samples, x i represents the i-th value of the random variable, and x is the sample mean. A positive value of γ indicates a left-modal distribution, meaning that the tail of the distribution becomes more pronounced as the random variable x increases. Conversely, a negative γ signifies that the tail is more pronounced as decreases. In the context of an asymmetric anharmonic potential, a positive skewness implies that shifting the mass along the positive direction of x is likely to guide the system across the lowest energy barrier where the tail of the distribution is longer, thus, leading it into a new metastable state. For this reason, we named our method Loxodynamics, deriving from the Greek word "loxós", meaning skewed, to emphasize its core principle of leveraging skewness in probability distributions to guide the sampling process.