63 research outputs found
Catalysis and rotation of F-1 motor: Cleavage of ATP at the catalytic site occurs in 1 ms before 40 degrees substep rotation
F-1, a water-soluble portion of FoF1-ATP synthase, is an ATIP hydrolysis-driven rotary motor. The central gamma-subunit rotates in the alpha(3)beta(3) cylinder by repeating the following four stages of rotation: ATP-binding dwell, rapid 801 substep rotation, interim dwell, and rapid 40degrees substep rotation. At least two 1-ms catalytic events occur in the interim dwell, but it is still unclear which steps in the ATPase cycle, except for ATIP binding, correspond to these events. To discover which steps, we analyzed rotations of F-1 subcomplex (alpha(3)beta(3)gamma) from thermophilic Bacillus PS3 under conditions where cleavage of ATIP at the catalytic site is decelerated: hydrolysis of ATP by the catalytic-site mutant F, and hydrolysis of a slowly hydrolyzable substrate ATPgammaS (adenosine 5'-[gamma-thio]triphosphate) by wild-type F-1. In both cases, interim dwells were extended as expected from bulk phase kinetics, confirming that cleavage of ATP takes place during the interim dwell. Furthermore, the results of ATPgammaS hydrolysis by the mutant F-1 ensure that cleavage of ATIP most likely corresponds to one of the two 1-ms events and not some other faster undetected event. Thus, cleavage of ATP on F-1 occurs in 1 ms during the interim dwell, and we call this interim dwell catalytic dwell
Information heat engine: converting information to energy by feedback control
In 1929, Leo Szilard invented a feedback protocol in which a hypothetical
intelligence called Maxwell's demon pumps heat from an isothermal environment
and transduces it to work. After an intense controversy that lasted over eighty
years; it was finally clarified that the demon's role does not contradict the
second law of thermodynamics, implying that we can convert information to free
energy in principle. Nevertheless, experimental demonstration of this
information-to-energy conversion has been elusive. Here, we demonstrate that a
nonequilibrium feedback manipulation of a Brownian particle based on
information about its location achieves a Szilard-type information-energy
conversion. Under real-time feedback control, the particle climbs up a
spiral-stairs-like potential exerted by an electric field and obtains free
energy larger than the amount of work performed on it. This enables us to
verify the generalized Jarzynski equality, or a new fundamental principle of
"information-heat engine" which converts information to energy by feedback
control.Comment: manuscript including 7 pages and 4 figures and supplementary material
including 6 pages and 8 figure
Spectral Duality in Integrable Systems from AGT Conjecture
We describe relationships between integrable systems with N degrees of
freedom arising from the AGT conjecture. Namely, we prove the equivalence
(spectral duality) between the N-cite Heisenberg spin chain and a reduced gl(N)
Gaudin model both at classical and quantum level. The former one appears on the
gauge theory side of the AGT relation in the Nekrasov-Shatashvili (and further
the Seiberg-Witten) limit while the latter one is natural on the CFT side. At
the classical level, the duality transformation relates the Seiberg-Witten
differentials and spectral curves via a bispectral involution. The quantum
duality extends this to the equivalence of the corresponding Baxter-Schrodinger
equations (quantum spectral curves). This equivalence generalizes both the
spectral self-duality between the 2x2 and NxN representations of the Toda chain
and the famous AHH duality
A 5d/3d duality from relativistic integrable system
We propose and prove a new exact duality between the F-terms of
supersymmetric gauge theories in five and three dimensions with adjoint matter
fields. The theories are compactified on a circle and are subject to the Omega
deformation. In the limit proposed by Nekrasov and Shatashvili, the
supersymmetric vacua become isolated and are identified with the eigenstates of
a quantum integrable system. The effective twisted superpotentials are the
Yang-Yang functional of the relativistic elliptic Calogero-Moser model. We show
that they match on-shell by deriving the Bethe ansatz equation from the saddle
point of the five-dimensional partition function. We also show that the
Chern-Simons terms match and extend our proposal to the elliptic quiver
generalizations.Comment: 30 pages, 4 figures. v2: typo corrected, references adde
Direct Observation of the Myosin Va Recovery Stroke That Contributes to Unidirectional Stepping along Actin
Myosins are ATP-driven linear molecular motors that work as cellular force
generators, transporters, and force sensors. These functions are driven by
large-scale nucleotide-dependent conformational changes, termed
âstrokesâ; the âpower strokeâ is the force-generating
swinging of the myosin light chainâbinding âneckâ domain
relative to the motor domain âheadâ while bound to actin; the
ârecovery strokeâ is the necessary initial motion that primes, or
âcocks,â myosin while detached from actin. Myosin Va is a processive
dimer that steps unidirectionally along actin following a âhand over
handâ mechanism in which the trailing head detaches and steps forward
âŒ72 nm. Despite large rotational Brownian motion of the detached head about
a free joint adjoining the two necks, unidirectional stepping is achieved, in
part by the power stroke of the attached head that moves the joint forward.
However, the power stroke alone cannot fully account for preferential forward
site binding since the orientation and angle stability of the detached head,
which is determined by the properties of the recovery stroke, dictate actin
binding site accessibility. Here, we directly observe the recovery stroke
dynamics and fluctuations of myosin Va using a novel, transient caged
ATP-controlling system that maintains constant ATP levels through stepwise
UV-pulse sequences of varying intensity. We immobilized the neck of monomeric
myosin Va on a surface and observed real time motions of bead(s) attached
site-specifically to the head. ATP induces a transient swing of the neck to the
post-recovery stroke conformation, where it remains for âŒ40 s, until ATP
hydrolysis products are released. Angle distributions indicate that the
post-recovery stroke conformation is stabilized by â„5
kBT of energy. The high kinetic
and energetic stability of the post-recovery stroke conformation favors
preferential binding of the detached head to a forward site 72 nm away. Thus,
the recovery stroke contributes to unidirectional stepping of myosin Va
The new analysis of the KLOE data on the phi->eta pi0 gamma decay
In this paper we present the fit to the recent high-statistical KLOE data on
the phi -> eta pi^0 gamma decay. This decay mainly goes through the a_0 gamma
intermediate state. The obtained results differ from those of the previous
fits: data prefer a high a_0 mass and a considerably large a_0 coupling to the
K\bar K}.Comment: 11 pages, 2 figure
M5-branes, toric diagrams and gauge theory duality
In this article we explore the duality between the low energy effective
theory of five-dimensional N=1 SU(N)^{M-1} and SU(M)^{N-1} linear quiver gauge
theories compactified on S^1. The theories we study are the five-dimensional
uplifts of four-dimensional superconformal linear quivers. We study this
duality by comparing the Seiberg-Witten curves and the Nekrasov partition
functions of the two dual theories. The Seiberg-Witten curves are obtained by
minimizing the worldvolume of an M5-brane with nontrivial geometry. Nekrasov
partition functions are computed using topological string theory. The result of
our study is a map between the gauge theory parameters, i.e., Coulomb moduli,
masses and UV coupling constants, of the two dual theories. Apart from the
obvious physical interest, this duality also leads to compelling mathematical
identities. Through the AGTW conjecture these five-dimentional gauge theories
are related to q-deformed Liouville and Toda SCFTs in two-dimensions. The
duality we study implies the relations between Liouville and Toda correlation
functions through the map we derive.Comment: 58 pages, 17 figures; v2: minor corrections, references adde
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