一般化的兰道尔是从绝对不可逆转性中得到的
Lorenzo Buffoni1, Francesco Coghi2, Stefano Gherardini3,4,5
1Department of Physics and Astronomy, University of Florence, 50019 Sesto Fiorentino, Italy.
Physical review. E
|March 16, 2024
概括
研究人员将兰道尔边界推广为信息删除,考虑到不可逆转的动态. 平均擦除工作的新界限比现有的界限更为严格,并经过实验验证.
科学领域:
- 热力学是一种热力学.
- 信息理论 信息理论
- 统计力学 统计力学
背景情况:
- 兰道尔边界设定了删除信息的最低能源成本.
- 以前的界限是有限的,特别是对于不可逆转的过程和不对称的比特.
研究的目的:
- 为了将Landauer绑定到信息删除过程中进行概括.
- 为了解释绝对不可逆转的动态和不完美的删除场景.
主要方法:
- 根据绝对不可逆转的动力学,推导一个通用的兰道尔边界.
- 对某些轨迹的前进概率为零的删除过程的分析.
- 理论建模和数值实验.
主要成果:
- 一个新的,更严格的一般化兰道尔,以平均的删除工作为准.
- 界限适用于不完整的删除和不对称的位.
- 理论预测通过数值模拟来验证.
结论:
- 一般化的兰道尔边界为信息删除提供了更准确和更全面的边界.
- 这项工作促进了对信息处理中的热力学理解,特别是在不可逆转的条件下.
相关概念视频
Reversible and Irreversible Processes
4.2K
The thermodynamic processes can be classified into reversible and irreversible processes. The processes that can be restored to their initial state are called reversible processes. It is only possible if the process is in quasi-static equilibrium, i.e., it takes place in infinitesimally small steps, and the system remains at equilibrium However, these are ideal processes and do not occur naturally. An ideal system undergoing a reversible process is always in thermodynamic equilibrium within...
4.2K
Entropy Change in Reversible Processes
2.5K
In the Carnot engine, which achieves the maximum efficiency between two reservoirs of fixed temperatures, the total change in entropy is zero. The observation can be generalized by considering any reversible cyclic process consisting of many Carnot cycles. Thus, it can be stated that the total entropy change of any ideal reversible cycle is zero.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
The statement can be further generalized to prove that entropy is a state function. Take a cyclic process between any two points on a p-V diagram.
2.5K
The Nernst Equation
40.8K
Nonstandard Reaction Conditions
The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous.
The interconnection between standard cell potentials and various thermodynamic parameters such as the standard free energy change ΔG° and equilibrium constant K has been previously explored. For example, a redox reaction involving zinc(II) and tin(II) ions at 1 M concentration with Eºcell = +0.291 V and ΔG° = −56.2 kJ is spontaneous.
40.8K
Entropy
2.6K
The first law of thermodynamics is quantitatively formulated via an equation relating the internal energy of a system, the heat exchanged by it, and the work done on it. A quantitative formulation of the second law of thermodynamics leads to defining a state function, the entropy.
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
When an ideal gas expands isothermally, the disorder in the gas increases. From the molecular perspective, the gas molecules have more volume to move around in.
Consider an infinitesimal step in the expansion, which...
2.6K
Zeroth Law of Thermodynamics
5.0K
Experimentally, if object A is in equilibrium with object B, and object B is in equilibrium with object C, then object A is in equilibrium with object C. That statement of transitivity is called the "zeroth law of thermodynamics." For example, a cold metal block and a hot metal block are both placed on a metal plate at room temperature. Eventually, the cold block and the plate will be in thermal equilibrium. In addition, the hot block and the plate will be in thermal equilibrium.
5.0K
Gibbs Free Energy
33.4K
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...
33.4K


