Spontaneous Fluctuation-Symmetry Breaking and the Landauer Principle

Abstract

AbstractWe study the problem of the energetic cost of information erasure by looking at it through the lens of the Jarzynski equality. We observe that the Landauer bound, $$\langle W \rangle \ge kT \ln 2$$ ⟨ W ⟩ ≥ k T ln 2 , on average dissipated work $$\langle W \rangle $$ ⟨ W ⟩ associated to an erasure process, literally emerges from the underlying second law bound as formulated by Kelvin, $$\langle W \rangle \ge 0$$ ⟨ W ⟩ ≥ 0 , as consequence of a spontaneous breaking of the Crooks–Tasaki fluctuation-symmetry, that accompanies logical irreversibility. We illustrate and corroborate this insight with numerical simulations of the process of information erasure performed on a 2D Ising ferromagnet.