First passage time and change of entropy

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.

arXiv comment27 pages

References in corpus (38)

• Superstatistics
• Asymptotic Exit Location Distributions in the Stochastic Exit Problem
• Simple bounds on fluctuations and uncertainty relations for first-passage times of counting observables
• Chaotic Scattering Theory, Thermodynamic Formalism, and Transport Coefficients
• First passage time statistics of Brownian motion with purely time dependent drift and diffusion
• Fundamental Bounds on First Passage Time Fluctuations for Currents
• First passage time distribution in heterogeneity controlled kinetics: going beyond the mean first passage time
• Generalisation of the Eyring-Kramers transition rate formula to irreversible diffusion processes
• Chaotic Scattering Theory of Transport and Reaction-Rate Coefficients
• Decision Making in the Arrow of Time
• Universal Formula for Extreme First Passage Statistics of Diffusion
• Distribution of extreme first passage times of diffusion
• First Exit Times of Harmonically Trapped Particles: A Didactic Review
• Survival probability of a particle in a sea of mobile traps: A tale of tails
• Second law of thermodynamics at stopping times
• Interlacing Relaxation and First-Passage Phenomena in Reversible Discrete and Continuous Space Markovian Dynamics
• Waiting for rare entropic fluctuations
• Duality Between Relaxation and First Passage in Reversible Markov Dynamics: Rugged Energy Landscapes Disentangled
• Extreme value statistics of ergodic Markov processes from first passage times in the large deviation limit
• Competition between slow and fast regimes for extreme first passage times of diffusion
• First-passage and escape problems in the Feller process
• First-passage times in renewal and nonrenewal systems
• Moments of the first passage time under external driving
• Universal First-Passage-Time Distribution of Non-Gaussian Currents
• Preface: New trends in first-passage methods and applications in the life sciences and engineering
• Extreme reductions of entropy in an electronic double dot
• Work producing reservoirs: Stochastic thermodynamics with generalized Gibbs ensembles
• First passage times of two-correlated processes: analytical results for the Wiener process and a numerical method for diffusion processes
• Lifetime distributions in the methods of non-equilibrium statistical operator and superstatistics
• Kinetics of First Passage in a Cone
• Stochastic storage models and noise-induced phase transitions
• Energy barriers, entropy barriers, and non-Arrhenius behavior in a minimal glassy model
• 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
• Non-equilibrium thermodynamics with first-passage time of states as independent thermodynamic parameter
• Nonequilibrium thermodynamics with thermodynamic parameter of lifetime of system. II. Possibilities of increase lifetime
• Nonequilibrium thermodynmics with thermodynamic parameter of lifetime of system. I
• Entropy production related properties of first passage process

Cited by in corpus (1)

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