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Work is one of the most basic notion in statistical mechanics, with workfluctuation theorems being one central topic in nanoscale thermodynamics. WithHamiltonian chaos commonly thought to provide a foundation for classicalstatistical mechanics, here we present general salient results regarding how(classical) Hamiltonian chaos generically impacts on nonequilibrium workfluctuations. For isolated chaotic systems prepared with a microcanonicaldistribution, work fluctuations are minimized and vanish altogether inadiabatic work protocols. For isolated chaotic systems prepared at an initialcanonical distribution at inverse temperature $\beta$, work fluctuationsdepicted by the variance of $e^{-\beta W}$ are also minimized by adiabatic workprotocols. This general result indicates that if the variance of $e^{-\beta W}$diverges for an adiabatic work protocol, then it diverges for all nonadiabaticwork protocols sharing the same initial and final Hamiltonians. How suchdivergence explicitly impacts on the efficiency of using the Jarzynski'sequality to simulate free energy differences is studied in a Sinai model. Ourgeneral insights shall boost studies in nanoscale thermodynamics and are offundamental importance in designing useful work protocols.

Merits and Qualms of Work Fluctuations in Classical Fluctuation Theorems