Relations between Entropies Produced in Nondeterministic Thermodynamic Processes

TL;DR

This paper generalizes Landauer's erasure principle to nondeterministic thermodynamic processes with multiple logical states, deriving restrictions on heat exchanges and linking entropy relations to phase-space flow analysis.

Contribution

It introduces a generalized framework for entropy relations in nondeterministic processes, extending Landauer's principle to more complex systems.

Findings

Derived restrictions on heat exchanges for nondeterministic processes

Established a connection between entropy production and phase-space flow

Unified Landauer's principle within a broader thermodynamic context

Abstract

Landauer's erasure principle is generalized to nondeterministic processes on systems having an arbitrary number of non-symmetrical logical states. The condition that the process is applied in the same way, irrespective of the initial logical state, imposes some restrictions on the individual heat exchanges associated with each possible transition. The complete set of such restrictions are derived by a statistical analysis of the phase-space flow induced by the process. Landauer's erasure principle can be derived from and is a special case of these.