Knowledge Management System of Institute of Theoretical Physics, CAS
| Li, Geng1; Tu, Z. C. | |
| Equilibrium free-energy differences from a linear nonequilibrium equality | |
| Source Publication | PHYSICAL REVIEW E
 |
| Language | 英语 |
| Keyword | DYNAMICS |
| Abstract | 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. |
| 2021 | |
| ISSN | 2470-0045 |
| Volume | 103Issue:3Pages:32146 |
| Cooperation Status | 国内 |
| Subject Area | Physics |
| MOST Discipline Catalogue | Physics, Fluids & Plasmas ; Physics, Mathematical |
| DOI | 10.1103/PhysRevE.103.032146 |
| Indexed By | SCIE |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.itp.ac.cn/handle/311006/27319 |
| Collection | SCI期刊论文 |
| Affiliation | 1.Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China 2.China Acad Engn Phys, Grad Sch, Beijing 100193, Peoples R China 3.Tu, Z. C.] Beijing Normal Univ, Dept Phys, Beijing 100875, Peoples R China |
| Recommended Citation GB/T 7714 | Li, Geng,Tu, Z. C.. Equilibrium free-energy differences from a linear nonequilibrium equality[J]. PHYSICAL REVIEW E,2021,103(3):32146. |
| APA | Li, Geng,&Tu, Z. C..(2021).Equilibrium free-energy differences from a linear nonequilibrium equality.PHYSICAL REVIEW E,103(3),32146. |
| MLA | Li, Geng,et al."Equilibrium free-energy differences from a linear nonequilibrium equality".PHYSICAL REVIEW E 103.3(2021):32146. |
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