The parity and time-reversal symmetries of a particle's hidden self-propulsion determine whether and at what order in speed its observed trajectory violates time-reversal symmetry.
Michaelian, Entropy Production and the Origin of Life, J
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Self-propulsion symmetries determine entropy production of active particles with hidden states
The parity and time-reversal symmetries of a particle's hidden self-propulsion determine whether and at what order in speed its observed trajectory violates time-reversal symmetry.