First passage time and change of entropy
arXiv:2109.11823 · doi:10.1140/epjb/s10051-021-00246-0
Abstract
The first-passage time is proposed as an independent thermodynamic parameter of the statistical distribution that generalizes the Gibbs distribution. The theory does not include the determination of the first passage statistics itself. A random process is set that describes a physical phenomenon. The first passage statistics is determined from this random process. The thermodynamic parameter conjugated to the first-passage time is the same as the Laplace transform parameter of the first-passage time distribution in the partition function. The corresponding partition function is divided into multipliers, one of which is associated with the equilibrium parameters, and the second one - with the parameters of the first-passage time distribution. The thermodynamic parameter conjugated to the first-passage time can be expressed in terms of the deviation of the entropy from the equilibrium value. Thus, all moments of the distribution of the first passage time are expressed in terms of the deviation of the entropy from its equilibrium value and the external forces acting on the system. By changing the thermodynamic forces, it is possible to change the first passage time.
27 pages
References in corpus (14)
- Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
- First passage time statistics of Brownian motion with purely time dependent drift and diffusion
- Fundamental Bounds on First Passage Time Fluctuations for Currents
- Survival probability of a particle in a sea of mobile traps: A tale of tails
- Extreme value statistics of ergodic Markov processes from first passage times in the large deviation limit
- First-passage times in renewal and nonrenewal systems
- Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
- Preface: New trends in first-passage methods and applications in the life sciences and engineering
- Kinetics of First Passage in a Cone
- First-Passage Time: A Conception Leading to Superstatistics. I. Superstatistics with Discrete Distributions
- First-Passage Time: A Conception Leading to Superstatistics. II. Continuous Distributions and their Applications
- Nonequilibrium thermodynmics with thermodynamic parameter of lifetime of system. I
- Nonequilibrium thermodynamics with thermodynamic parameter of lifetime of system. II. Possibilities of increase lifetime
- Entropy production related properties of first passage process