Exact results for the finite time thermodynamic uncertainty relation
نویسندگان
چکیده
منابع مشابه
Thermodynamic uncertainty relation for biomolecular processes.
Biomolecular systems like molecular motors or pumps, transcription and translation machinery, and other enzymatic reactions, can be described as Markov processes on a suitable network. We show quite generally that, in a steady state, the dispersion of observables, like the number of consumed or produced molecules or the number of steps of a motor, is constrained by the thermodynamic cost of gen...
متن کاملRelation of uncertainty for time
We introduce two time: deterministic Newton time-stream t and stochastic timeepoch τ . The relation of uncertainty for time-epoch of physical events ∆τ∆D ≥ c1, (∗) where c1 = const, is proved. The function D(t) = −c1 d dt ln fτ (t), characterizes velocity of disorganization of the event-phenomena; fτ (t) is density of probability of time-epoch τ . The relation (*) is verified not by means of ex...
متن کاملThe Time Energy Uncertainty Relation
has been a controversial issue since the advent of quantum theory, with respect to appropriate formalisation, validity and possible meanings. Already the first formulations due to Bohr, Heisenberg, Pauli and Schrödinger are very different, as are the interpretations of the terms used. A comprehensive account of the development of this subject up to the 1980s is provided by a combination of the ...
متن کاملFinite time stabilization of time-delay nonlinear systems with uncertainty and time-varying delay
In this paper, the problem of finite-time stability and finite-time stabilization for a specific class of dynamical systems with nonlinear functions in the presence time-varying delay and norm-bounded uncertainty terms is investigated. Nonlinear functions are considered to satisfy the Lipchitz conditions. At first, sufficient conditions to guarantee the finite-time stability for time-delay nonl...
متن کاملFull counting statistics for noninteracting fermions: exact finite-temperature results and generalized long-time approximation.
Exact numerical results for the full counting statistics (FCS) of a one-dimensional tight-binding model of noninteracting electrons are presented at finite temperatures using an identity recently published by Abanov and Ivanov. A similar idea is used to derive an explicit expression for the cumulant generating function for a system consisting of two quasi-one-dimensional leads connected by a qu...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Journal of Physics A: Mathematical and Theoretical
سال: 2018
ISSN: 1751-8113,1751-8121
DOI: 10.1088/1751-8121/aaaa54