Fluctuation theorems in general relativistic stochastic thermodynamics
View abstract on PubMed
Summary
This summary is machine-generated.This study extends general relativistic stochastic mechanics and thermodynamics to the trajectory level. It reformulates the first law and proves fluctuation theorems while maintaining general covariance.
Area Of Science
- Theoretical Physics
- Statistical Mechanics
- General Relativity
Background
- Recent frameworks established general relativistic stochastic mechanics and thermodynamics at the ensemble level.
- Stochastic thermodynamics provides insights into the behavior of small systems under fluctuating conditions.
Purpose Of The Study
- To extend general relativistic stochastic thermodynamics from the ensemble level to the trajectory level.
- To reformulate the first law of stochastic thermodynamics for individual trajectories.
- To prove fluctuation theorems within this framework, ensuring general covariance.
Main Methods
- Utilizing the framework of general relativistic stochastic mechanics.
- Applying principles of stochastic thermodynamics to individual trajectories.
- Focusing on maintaining general covariance and observer-dependence.
Main Results
- Reformulation of the first law of stochastic thermodynamics at the trajectory level.
- Proof of fluctuation theorems for relativistic stochastic trajectories.
- Demonstration of general covariance in the relativistic stochastic thermodynamic framework.
Conclusions
- The study successfully extends general relativistic stochastic thermodynamics to the trajectory level.
- The reformulated first law and proven fluctuation theorems offer new insights into relativistic systems.
- The work emphasizes the importance of observer choice in relativistic stochastic thermodynamics.
Related Concept Videos
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Processes that involve an increase in entropy of the system (ΔS > 0) are very often spontaneous; however, examples to the contrary are plentiful. By expanding consideration of entropy changes to include the surroundings, a significant conclusion regarding the relation between this property and spontaneity may be reached. In thermodynamic...
The second law of thermodynamics can be stated quantitatively using the concept of entropy. Entropy is the measure of disorder of the system.
The relation between entropy and disorder can be illustrated with the example of the phase change of ice to water. In ice, the molecules are located at specific sites giving a solid state, whereas, in a liquid form, these molecules are much freer to move. The molecular arrangement has therefore become more randomized. Although the change in average...
In the quest to identify a property that may reliably predict the spontaneity of a process, a promising candidate has been identified: entropy. Scientists refer to the measure of randomness or disorder within a system as entropy. High entropy means high disorder and low energy. To better understand entropy, think of a student’s bedroom. If no energy or work were put into it, the room would quickly become messy. It would exist in a very disordered state, one of high entropy. Energy must be...
The second law of thermodynamics can be stated in several different ways, and all of them can be shown to imply the others. The Clausius’ statement of the second law of thermodynamics is based on the irreversibility of spontaneous heat flow. It states that heat will not flow from the colder body to the hotter body unless some other process is involved. Additionally, as per the Kelvin’s statement, it is impossible to convert the heat from a single source into work without any other...
A pure, perfectly crystalline solid possessing no kinetic energy (that is, at a temperature of absolute zero, 0 K) may be described by a single microstate, as its purity, perfect crystallinity,and complete lack of motion means there is but one possible location for each identical atom or molecule comprising the crystal (W = 1). According to the Boltzmann equation, the entropy of this system is zero.
This limiting condition for a system’s entropy represents the third law of...
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...

