Equilibrium free-energy differences from a linear nonequilibrium equality

Extracting equilibrium information from nonequilibrium measurements is a challenge task of great importance in understanding the thermodynamic properties physical, chemical, and biological systems. The discovery Jarzynski equality illumines way to estimate free energy difference work performed driving processes. However, nonlinear (exponential) relation causes poor convergence equality. Here, we propose concise method through linear which inherently converges faster than equalities. This relies on an accelerated isothermal process realized by using unified variational approach, named shortcuts isothermality. We apply our underdamped Brownian particle moving double-well potential. simulations confirm that can be used accurately with high efficiency. Especially during fast processes dissipation, improve accuracy more order magnitude compared estimator based