# First-passage time: a conception leading to superstatistics

@article{Ryazanov2006FirstpassageTA, title={First-passage time: a conception leading to superstatistics}, author={Ryazanov and Shpyrko}, journal={Condensed Matter Physics}, year={2006}, volume={9}, pages={71} }

To describe the nonequilibrium states of a system we introduce a new thermodynamic parameter – the lifetime (the first passage time) of a system. The statistical distributions that can be obtained out of the mesoscopic description characterizing the behaviour of a system by specifying the stochastic processes are written. Superstatistics, introduced in [Beck C., Cohen E.G.D., Physica A, 2003, 322A, 267] as fluctuating quantities of intensive thermodynamical parameters, are obtained from…

## 21 Citations

### Nonequilibrium Thermodynamics Based on the Distributions Containing Lifetime as a Thermodynamic Parameter

- Physics
- 2011

To describe the nonequilibrium states of a system, we introduce a new thermodynamic parameter—the lifetime of a system. The statistical distributions which can be obtained out of the mesoscopic…

### Lifetime distributions in the methods of non-equilibrium statistical operator and superstatistics

- Physics, Mathematics
- 2009

AbstractA family of non-equilibrium statistical operators
is introduced which differ by the system age distribution
over which the quasi-equilibrium (relevant) distribution is
averaged. To describe…

### Nonequilibrium thermodynmics with thermodynamic parameter of lifetime of system. I

- Physics, Engineering
- 2019

To describe the nonequilibrium states of the system, a new thermodynamic parameter - system lifetime - is introduced. Statistical distributions that describe the behavior of energy and lifetime are…

### First-passage time and change of entropy

- PhysicsThe European Physical Journal B
- 2021

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…

### Non-equilibrium thermodynamics with first-passage time of states as independent thermodynamic parameter

- Physics
- 2020

Non-equilibrium states of a thermodynamic statistical system are investigated using the thermodynamic parameter of the system lifetime, first-passage time, the time before degeneration of the system…

### Family of Nonequilibrium Statistical Operators and the Influence of the Past on the Present

- Mathematics
- 2004

A family of non-equilibrium statistical operators (NSO) is introduced which differ by the system lifetime distribution over which the quasi-equilibrium (relevant) distribution is averaged. This…

### First passage times of mesoscopic charge transport and entropy change

- Physics
- 2022

The first-passage-time statistics of a stochastic process N(t) for electrons transferred through a metallic double dot are considered. It is shown that in calculating the average of the first-passage…

### Stochastic storage models and noise-induced phase transitions

- Mathematics
- 2005

Abstract.The most frequently used in physical application
diffusive (based on the Fokker-Planck equation) model leans upon
the assumption of small jumps of a macroscopic variable for each
given…

### Investigation of radiation-enhanced diffusion using first-passage time

- PhysicsRadiation Physics and Chemistry
- 2022

### First passage times of charge transport and entropy change

- Physics
- 2022

The first-passage-time statistics of a stochastic process N(t) for electrons transferred through a metallic double dot are considered. It is shown that in calculating the average of the first-passage…

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