The property of a process that cannot be reversed, often associated with entropy increase.Irreversibility is the property of a process that cannot be run backwards to restore the initial state, even though the underlying physical laws are time-reversible. This asymmetry is captured by the second law of thermodynamics, which states that the entropy of an isolated system never decreases. Irreversibility explains why we remember the past but not the future, why heat flows from hot to cold, and why broken glass doesn't spontaneously reassemble.
The concept was formalized in the 19th century by Rudolf Clausius, who introduced entropy, and Ludwig Boltzmann, who gave it a statistical interpretation. The modern understanding linking irreversibility to information was developed by Rolf Landauer and Charles Bennett in the 1960s-70s.
At the microscopic level, collisions between particles are reversible, but when many particles interact, the probability of a system returning to a highly ordered state becomes astronomically small. The arrow of time emerges from statistical mechanics: systems evolve from less probable to more probable configurations. This is quantified by entropy, which measures the number of microscopic states corresponding to a macroscopic condition. Irreversibility also manifests in information theory, where erasing information necessarily dissipates heat, as shown by Landauer's principle.
Irreversibility is central to the design of heat engines, refrigerators, and any energy conversion system, where efficiency limits are set by entropy production. It also underpins quantum computing error correction and the thermodynamics of information processing.
The 'arrow of time' is not absolute: in some quantum systems, time-reversal symmetry can be effectively restored for short periods, leading to temporary decreases in entropy.






