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

20
The categories of this paper are: acc-phys
12
The categories of this paper are: nucl-th
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
7
The categories of this paper are: hep-th
30
The categories of this paper are: q-alg
18
The categories of this paper are: econ
23
The categories of this paper are: solv-int
24
The categories of this paper are: dg-ga
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
31
The categories of this paper are: ao-sci
14
The categories of this paper are: math-ph
22
The categories of this paper are: chao-dyn