Matches in SemOpenAlex for { <https://semopenalex.org/work/W1995725810> ?p ?o ?g. }
- W1995725810 endingPage "105002" @default.
- W1995725810 startingPage "105002" @default.
- W1995725810 abstract "Quantum effects in the Brownian motion in a tilted cosine potential are treated in the high temperature and weak bath–particle coupling limit via the semiclassical master equation for the time evolution of the reduced Wigner function in phase space. The differential recurrence relation generated from the master equation by expanding the periodic Wigner function expressed as a function of wave number k in Fourier series via Floquet's theorem is solved for bounded periodic initial conditions using matrix-continued fractions yielding both the time-independent and the time-dependent bounded periodic solutions. Just as the classical problem, the non-periodic solution is determined from the recurrence relation by integrating w.r.t. k over the first Brillouin zone with the initial conditions generated by the non-periodic Wigner distribution corresponding to zero probability current. The time-independent periodic (locked) solution is used to estimate quantum effects in the dc current–voltage characteristic of a Josephson junction including the capacitance, while the time-dependent non-periodic (running) solution is used to determine the dynamic structure factor and ultimately via integration over the first Brillouin zone the lifetime of the zero-voltage state. The current–voltage characteristics displayed as average velocity versus tilt reproduce in the high damping limit those from the semiclassical Smoluchowski equation, while the decrease in the lifetime of the zero-voltage state due to (the barrier lowering) quantum effects appears to be very sensitive to the tilt." @default.
- W1995725810 created "2016-06-24" @default.
- W1995725810 creator A5008431629 @default.
- W1995725810 creator A5013484470 @default.
- W1995725810 creator A5024288693 @default.
- W1995725810 creator A5025095999 @default.
- W1995725810 creator A5068000911 @default.
- W1995725810 date "2012-02-23" @default.
- W1995725810 modified "2023-09-23" @default.
- W1995725810 title "Master equation in phase space applied to the quantum Brownian motion in a tilted periodic potential" @default.
- W1995725810 cites W170550087 @default.
- W1995725810 cites W1964342816 @default.
- W1995725810 cites W1970402799 @default.
- W1995725810 cites W1979212739 @default.
- W1995725810 cites W1980830782 @default.
- W1995725810 cites W1984899689 @default.
- W1995725810 cites W1985893493 @default.
- W1995725810 cites W1986822422 @default.
- W1995725810 cites W1988719923 @default.
- W1995725810 cites W1995318398 @default.
- W1995725810 cites W2004438530 @default.
- W1995725810 cites W2009601261 @default.
- W1995725810 cites W2020637261 @default.
- W1995725810 cites W2024457175 @default.
- W1995725810 cites W2029256740 @default.
- W1995725810 cites W2034389887 @default.
- W1995725810 cites W2038860941 @default.
- W1995725810 cites W2043410674 @default.
- W1995725810 cites W2053515005 @default.
- W1995725810 cites W2053555821 @default.
- W1995725810 cites W2054866943 @default.
- W1995725810 cites W2056155112 @default.
- W1995725810 cites W2062110150 @default.
- W1995725810 cites W2062626603 @default.
- W1995725810 cites W2066414752 @default.
- W1995725810 cites W2075682667 @default.
- W1995725810 cites W2077100695 @default.
- W1995725810 cites W2081157593 @default.
- W1995725810 cites W2085022730 @default.
- W1995725810 cites W2092144432 @default.
- W1995725810 cites W2092309584 @default.
- W1995725810 cites W2093851492 @default.
- W1995725810 cites W2094625956 @default.
- W1995725810 cites W2110251274 @default.
- W1995725810 cites W2135108582 @default.
- W1995725810 cites W2170649178 @default.
- W1995725810 cites W2171379820 @default.
- W1995725810 cites W3021966610 @default.
- W1995725810 cites W3165898261 @default.
- W1995725810 cites W4205232354 @default.
- W1995725810 cites W4231362780 @default.
- W1995725810 cites W4240788980 @default.
- W1995725810 cites W4240827927 @default.
- W1995725810 cites W4245672533 @default.
- W1995725810 cites W4248395627 @default.
- W1995725810 cites W4376849742 @default.
- W1995725810 cites W2010912700 @default.
- W1995725810 doi "https://doi.org/10.1088/1751-8113/45/10/105002" @default.
- W1995725810 hasPublicationYear "2012" @default.
- W1995725810 type Work @default.
- W1995725810 sameAs 1995725810 @default.
- W1995725810 citedByCount "3" @default.
- W1995725810 countsByYear W19957258102016 @default.
- W1995725810 countsByYear W19957258102019 @default.
- W1995725810 countsByYear W19957258102020 @default.
- W1995725810 crossrefType "journal-article" @default.
- W1995725810 hasAuthorship W1995725810A5008431629 @default.
- W1995725810 hasAuthorship W1995725810A5013484470 @default.
- W1995725810 hasAuthorship W1995725810A5024288693 @default.
- W1995725810 hasAuthorship W1995725810A5025095999 @default.
- W1995725810 hasAuthorship W1995725810A5068000911 @default.
- W1995725810 hasConcept C104114177 @default.
- W1995725810 hasConcept C111919701 @default.
- W1995725810 hasConcept C112401455 @default.
- W1995725810 hasConcept C121332964 @default.
- W1995725810 hasConcept C121864883 @default.
- W1995725810 hasConcept C128805008 @default.
- W1995725810 hasConcept C134306372 @default.
- W1995725810 hasConcept C151342819 @default.
- W1995725810 hasConcept C2778572836 @default.
- W1995725810 hasConcept C33923547 @default.
- W1995725810 hasConcept C41008148 @default.
- W1995725810 hasConcept C44280652 @default.
- W1995725810 hasConcept C62520636 @default.
- W1995725810 hasConcept C74650414 @default.
- W1995725810 hasConcept C84114770 @default.
- W1995725810 hasConcept C98644592 @default.
- W1995725810 hasConceptScore W1995725810C104114177 @default.
- W1995725810 hasConceptScore W1995725810C111919701 @default.
- W1995725810 hasConceptScore W1995725810C112401455 @default.
- W1995725810 hasConceptScore W1995725810C121332964 @default.
- W1995725810 hasConceptScore W1995725810C121864883 @default.
- W1995725810 hasConceptScore W1995725810C128805008 @default.
- W1995725810 hasConceptScore W1995725810C134306372 @default.
- W1995725810 hasConceptScore W1995725810C151342819 @default.
- W1995725810 hasConceptScore W1995725810C2778572836 @default.
- W1995725810 hasConceptScore W1995725810C33923547 @default.
- W1995725810 hasConceptScore W1995725810C41008148 @default.