Fr. Maximos of Mount Athos is quoted extensively on the subject of logismoi in Kyriakos Markides' book, Mountain of Silence. Fr. Maximos describes five stages of logismoi as detailed in the teachings of the Fathers of the Church:

  • Assault - the logismoi first attacks a person’s mind
  • Interaction - a person opens up a dialogue with the logismoi
  • Consent - a person consents to do what the logismoi urges him to do
  • Defeat - a person becomes hostage to the logismoi and finds it more difficult to resist
  • Passion or Obsession - the logismoi becomes an entrenched reality within the nous of a person

Fr. Maximos explains that no sin is committed until the stage of Consent, though he warns that if a person is of weak temperament, they are unlikely to be able to resist the logismoi at the Interaction stage.
Fr. Maximos teaches that the best way to combat logismoi is to be indifferent, to ignore them. He suggests that a person should pray to combat logismoi, but only when not overcome by fear.
Source: Logismoi - OrthodoxWiki