Consider this simple LTSpice simulation: two diodes in anti-series, supplied by a 20V 10Hz sine generator with a 1K series resistor. I expected the K node voltage to be always about 0V. Instead, a full amplitude half sine wave can be seen. Please note that the series current is always less than 10nA.
Changing the diode model, or using R1=100, lead to the same result.
Why is there such a positive full amplitude half wave?