Macroscopic physical significance of Thermal Voltage in Diodes
Given a normal silicon diode at room temperature, with abrupt junction transition from N_doped to P_doped, this table suggests the logarithm_current/linear_voltage behavior of a diode:

Idiode    Vdiode



1mA       0.600 volts assued

0.1mA     0.600 - 1 * 0.058

0.01mA    0.600 - 2 * 0.058

1uA       0.600 - 3 * 0.058

0.1uA     0.600 - 4 * 0.058

0.01uA    0.600 - 5 * 0.058

1nanoA    0.600 - 6 * 0.058

10mA      0.600 + 1 * 0.058 (Maybe; if diode area is large enough to hid Rbulk)

2.718mA   0.0600 + 1 * Vthermal

1.1mA     0.600 + 0.004 millivolts (this is useful threshold for some distortion)