在统计模拟中估计多个热力学状态之间的自由能量差异的新方法
Jaehoon Yang1, Sherwin J Singer1
1Department of Chemistry and Biochemistry, The Ohio State University, Columbus, Ohio 43210, United States.
The journal of physical chemistry letters
|May 30, 2023
概括
本研究介绍了一种通过解决线性方程来计算自由能量差异 (FED) 的新方法,为当前的代方法提供了更快的替代方案. 该方法使用来自模拟的能量概率密度来准确计算FED.
科学领域:
- 计算化学是一种计算化学.
- 统计力学就是统计力学.
- 热力学是一种热力学.
背景情况:
- 在分子模拟中,计算自由能量差异 (FED) 是至关重要的.
- 目前的方法,如贝内特接受率 (BAR),多态概括 (MBAR) 和加权直方形分析方法 (WHAM),依赖于非线性方程的代解决方案.
- 这些代解决方案可能很慢地趋同,阻碍了高效的计算.
研究的目的:
- 引入一种新的,有效的方法来计算多个热力学状态之间的自由能量差异 (FED).
- 为已知缓慢融合的现有代方法提供替代方案.
- 从平衡模拟中利用精确的能量概率密度.
主要方法:
- 拟议的方法直接利用从平衡模拟中获得的能量概率密度.
- 它涉及解决线性方程,与BAR,MBAR和WHAM的非线性代方法形成鲜明对比.
- 该方法对MBAR FED的方程相当于"无桶WHAM"方法.
主要成果:
- 新方法通过解决线性方程来计算FED,避免缓慢的代过程.
- 对于两种状态系统,这种线性方程方法的统计误差在分析上与典型条件下BARR的统计误差一致.
- 通过直接使用能量概率密度来实现FED计算的高精度.
结论:
- 开发的方法提供了一个计算效率高,准确的方法来确定自由能量差异.
- 它为现有方法提供了可行的替代方案,特别是对于需要在多个热力学状态之间计算FED的系统.
- 直接使用能量概率密度和线性方程解决方法简化和加快了FED的计算.
更多相关视频
相关概念视频
Calculating Standard Free Energy Changes
21.5K
The free energy change for a reaction that occurs under the standard conditions of 1 bar pressure and at 298 K is called the standard free energy change. Since free energy is a state function, its value depends only on the conditions of the initial and final states of the system. A convenient and common approach to the calculation of free energy changes for physical and chemical reactions is by use of widely available compilations of standard state thermodynamic data. One method involves the...
21.5K
Gibbs Free Energy
33.7K
One of the challenges of using the second law of thermodynamics to determine if a process is spontaneous is that it requires measurements of the entropy change for the system and the entropy change for the surroundings. An alternative approach involving a new thermodynamic property defined in terms of system properties only was introduced in the late nineteenth century by American mathematician Josiah Willard Gibbs. This new property is called the Gibbs free energy (G) (or simply the free...
33.7K
Gibbs Free Energy and Thermodynamic Favorability
6.9K
The spontaneity of a process depends upon the temperature of the system. Phase transitions, for example, will proceed spontaneously in one direction or the other depending upon the temperature of the substance in question. Likewise, some chemical reactions can also exhibit temperature-dependent spontaneities. To illustrate this concept, the equation relating free energy change to the enthalpy and entropy changes for the process is considered:
6.9K
An Introduction to Free Energy
8.5K
How can we compare the energy that releases from one reaction to that of another reaction? We use a measurement of free energy to quantitate these energy transfers. Scientists call this free energy Gibbs free energy (abbreviated with the letter G) after Josiah Willard Gibbs, the scientist who developed the measurement. According to the second law of thermodynamics, all energy transfers involve losing some energy in an unusable form such as heat, resulting in entropy. Gibbs free energy...
8.5K
Free Energy and Equilibrium
6.4K
The free energy change for a process may be viewed as a measure of its driving force. A negative value for ΔG represents a driving force for the process in the forward direction, while a positive value represents a driving force for the process in the reverse direction. When ΔG is zero, the forward and reverse driving forces are equal, and the process occurs in both directions at the same rate (the system is at equilibrium).
The reaction quotient, Q, is a convenient measure of the...
The reaction quotient, Q, is a convenient measure of the...
6.4K
Entropy
30.4K
Salt particles that have dissolved in water never spontaneously come back together in solution to reform solid particles. Moreover, a gas that has expanded in a vacuum remains dispersed and never spontaneously reassembles. The unidirectional nature of these phenomena is the result of a thermodynamic state function called entropy (S). Entropy is the measure of the extent to which the energy is dispersed throughout a system, or in other words, it is proportional to the degree of disorder of a...
30.4K


