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Mechanics concept
Rotational diffusion is the rotational movement which acts upon any object such as particles, molecules, atoms when present in a fluid, by random changes
Rotational_diffusion
Transport of dissolved species from the highest to the lowest concentration region
Photon diffusion Plasma diffusion Random walk, model for diffusion Reverse diffusion, against the concentration gradient, in phase separation Rotational diffusion
Diffusion
Technique for the generative modeling of a continuous probability distribution
In machine learning, diffusion models, also known as diffusion-based generative models or score-based generative models, are a class of latent variable
Diffusion_model
Diffusion process with a non-linear relationship to time
Saporta-Katz, Ori; Efrati, Efi (2019). "Self-Driven Fractional Rotational Diffusion of the Harmonic Three-Mass System". Physical Review Letters. 122
Anomalous_diffusion
Equation in Brownian motion
case of rotational diffusion, the friction is ζ r = 8 π η r 3 {\displaystyle \zeta _{\text{r}}=8\pi \eta r^{3}} , and the rotational diffusion constant
Einstein relation (kinetic theory)
Einstein_relation_(kinetic_theory)
Number and arrangement of multiple folded protein subunits in a multi-subunit complex
diffusion constant) Fluorescence polarization (measures the rotational diffusion constant) Dielectric relaxation (measures the rotational diffusion constant)
Protein_quaternary_structure
law Stokes–Einstein equation (translational diffusion) Stokes–Einstein–Debye equation (rotational diffusion) Einstein refrigerator Tatung Einstein, an
List of things named after Albert Einstein
List_of_things_named_after_Albert_Einstein
Partial differential equation describing the evolution of temperature in a region
^{2}u} In physics and engineering contexts, especially in the context of diffusion through a medium, it is more common to fix a Cartesian coordinate system
Heat_equation
Type of stochastic process
1966, 1967: jump diffusion of rotational degrees of freedom Hall, Ross 1981: jump diffusion within a restricted volume A jump-diffusion model is a form
Jump_diffusion
Topics referred to by the same term
region of higher concentration Rotational diffusion Self-diffusion Surface diffusion Thermodiffusion Demic diffusion of a population to a new area (uninhabited
Diffusion_(disambiguation)
a hydrodynamic technique for measuring the rotational diffusion constants (or, equivalently, the rotational drag coefficients). The birefringence of a
Flow_birefringence
Method of utilizing water in magnetic resonance imaging
Diffusion-weighted magnetic resonance imaging (DWI or DW-MRI) is the use of specific MRI sequences as well as software that generates images from the
Diffusion-weighted magnetic resonance imaging
Diffusion-weighted_magnetic_resonance_imaging
Type of bacterial motion
of real-world runs from straight lines is usually attributed to rotational diffusion, which causes small fluctuations in the orientation over the course
Run-and-tumble_motion
Technique for determining size distribution of particles
fulfill these requirements, so a rotational diffusion coefficient must be considered in addition to a translational diffusion coefficient. In its most succinct
Dynamic_light_scattering
Emission of light by a substance that has absorbed light
intensity and polarization of the emitted light is dependent on rotational diffusion. Therefore, anisotropy measurements can be used to investigate how
Fluorescence
Model of self-propelled motion in a dissipative environment
{\displaystyle D_{t}} and D r {\displaystyle D_{r}} are the translational and rotational diffusion coefficients. The dynamics can also be described in terms of a probability
Active_Brownian_particle
Three-dimensional orthogonal coordinate system
Physics to Jean Baptiste Perrin. These friction factors determine the rotational diffusion of molecules, which affects the feasibility of many techniques such
Oblate_spheroidal_coordinates
Theorem in classical statistical mechanics
{6k_{\text{B}}Tt}{\gamma }}.} This describes the diffusion of the particle over time. An analogous equation for the rotational diffusion of a rigid molecule can be derived
Equipartition_theorem
Type of random motion in astronomy
changes in the orientation of the binary, leading to rotational diffusion. The rotational diffusion coefficient is ⟨ Δ ξ 2 ⟩ = ⟨ Δ l b i n 2 ⟩ / l b i n
Rotational Brownian motion (astronomy)
Rotational_Brownian_motion_(astronomy)
Type of statistical analysis
and are more sensitive to potentially confounding influences like: rotational diffusion, vibrations, photobleaching, dependence on illumination and fluorescence
Fluorescence correlation spectroscopy
Fluorescence_correlation_spectroscopy
Ability of bacteria to move independently using metabolic energy
unable to swim in a straight line for more than a few seconds due to rotational diffusion; in other words, bacteria "forget" the direction in which they are
Bacterial_motility
Motion of a certain space that preserves at least one point
transformations. Rotations define important classes of symmetry: rotational symmetry is an invariance with respect to a particular rotation. The circular
Rotation_(mathematics)
(Stokes–Einstein–Sutherland) equation (translational diffusion) Stokes–Einstein–Debye equation (rotational diffusion) Stokes approximation Navier–Stokes equations
List of things named after George Gabriel Stokes
List_of_things_named_after_George_Gabriel_Stokes
Machine learning model
human-drawn art. Text-to-image models are generally latent diffusion models, which perform the diffusion process in a compressed latent space rather than directly
Text-to-image_model
Angle between the rotational axis and orbital axis of a body
point in the same direction; that is, the rotational axis is perpendicular to the orbital plane. The rotational axis of Earth, for example, is the imaginary
Axial_tilt
scattering (SAXS), but is performed using X-ray exposures below sample rotational diffusion times. This technique, ideally performed with an ultra-bright X-ray
Fluctuation_X-ray_scattering
Random motion of particles suspended in a fluid
the probability distribution of a Brownian particle and the macroscopic diffusion equation. These predictive equations describing Brownian motion were subsequently
Brownian_motion
Viscosity of the lipid bilayer of a cell membrane
fluidity of the membrane. Viscosity of the membrane can affect the rotation and diffusion of proteins and other bio-molecules within the membrane, thereby
Membrane_fluidity
was related to the phenomenon of diffusion. A few weeks earlier, he had derived the Einstein relation for diffusion, which was the first example of the
List of scientific publications by Albert Einstein
List_of_scientific_publications_by_Albert_Einstein
Uranium processed to increase the percentage of uranium-235
which used gaseous diffusion and electromagnetic isotope separation to produce enriched uranium. Historically, gaseous diffusion and the gas centrifuge
Enriched_uranium
American biophysicist
connectivity in fluids. He discovered a way to measure very slow rotational diffusion of proteins, and also introduced the EPR pulse technique known as
James_S._Hyde
Symmetrical calligraphic or typographic visual pun
jackets, and other fashion accessories printed with its rotational ambigram logo. Rotational and reflective ambigram "Ideal", printed on a T-shirt. "Zen
Ambigram
Ability of cyanobacteria to move independently using metabolic energy
unable to swim in a straight line for more than a few seconds due to rotational diffusion. In other words, such bacteria "forget" the direction in which they
Cyanobacterial_motility
Topics referred to by the same term
Knudsen pump. It is the currently accepted theory for the rotation of the Crookes radiometer. Diffusion in a temperature gradient, also called thermodiffusion
Thermal_diffusion
Solution to a specific type of stochastic differential equation
In mathematics – specifically, in stochastic analysis – an Itô diffusion is a solution to a specific type of stochastic differential equation. That equation
Itô_diffusion
Fluid flow revolving around an axis of rotation
Use of circular rotational force to mimic gravity Batchelor vortex Biot–Savart law – Law of classical electromagnetism Coordinate rotation – Motion of a
Vortex
Interaction of light with material waves in a medium
Raman scattering, photons are scattered by the effect of vibrational and rotational transitions in the bonds between first-order neighboring atoms, while
Brillouin_scattering
English immunologist and microbiologist
"Depolarisation of fluorescence depletion. A microscopic method for measuring rotational diffusion of membrane proteins on the surface of a single cell". FEBS Lett
Pauline Johnson (immunologist)
Pauline_Johnson_(immunologist)
Heat treatment that alters the properties of a material
the diffusion of atoms within a solid material, so that the material progresses towards its equilibrium state. Heat increases the rate of diffusion by
Annealing_(materials_science)
cryptanalysis. The term "rotational cryptanalysis" was coined by Dmitry Khovratovich and Ivica Nikolić in 2010 paper "Rotational Cryptanalysis of ARX",
Rotational_cryptanalysis
Brownian motion Rotational diffusion Rotational energy Rotational invariance Rotational motion Rotational speed Rotational temperature Rotational transition
Index_of_physics_articles_(R)
Block cipher
d , j {\displaystyle R_{d,j}} is a fixed set of rotation constants chosen to achieve quick diffusion. The permutation step swaps the positions of the
Threefish
Inelastic scattering of photons by matter
that the allowed rotational transitions are Δ J = ± 2 {\displaystyle \Delta J=\pm 2} , where J {\displaystyle J} is the rotational state. This generally
Raman_scattering
the diffusion constant (e.g., NMR and dynamic light scattering). There are two rotational friction factors for a general spheroid, one for a rotation about
Perrin_friction_factors
American engineer & educator (1931–2011)
(September 1973). D. W. Phillion, D. J. Kuizenga and A. E. Siegman, "Rotational diffusion and triplet state processes in dye laser solutions," J. Chem. Phys
Anthony_E._Siegman
Rotational self-propulsion of organisms
surface area, in accordance with Fick's law of diffusion. For large multicellular animals, diffusion would be insufficient. Alternatively, a wheel could
Rotating locomotion in living systems
Rotating_locomotion_in_living_systems
Mathematical model of turbulence
flows with zones of re-circulating flow or flows influenced by mean rotational effects, the performance of these models is unsatisfactory. Such one-
Reynolds stress equation model
Reynolds_stress_equation_model
Understanding of gas properties in terms of molecular motion
intermolecular and intramolecular forces as well as quantized molecular rotations, quantum rotational-vibrational symmetry effects, and electronic excitation. While
Kinetic_theory_of_gases
Device that performs isotope separation of gases
uranium-238 (238U). The gas centrifuge was developed to replace the gaseous diffusion method of 235U extraction. High degrees of separation of these isotopes
Gas_centrifuge
Line of longitude, at which longitude is defined to be 0°
(2015), Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2015 (PDF), p. 27 of 46, archived (PDF) from the original on
Prime_meridian
Sixth planet from the Sun
2018). "Report of the IAU Working Group on Cartographic Coordinates and Rotational Elements: 2015". Celestial Mechanics and Dynamical Astronomy. 130 (3)
Saturn
Arab transformation of agriculture in medieval Spain
major books by Ibn Bassal and Ibn al-'Awwam, demonstrates the extensive diffusion of useful plants to medieval Spain (al-Andalus), and the growth in Islamic
Arab_Agricultural_Revolution
Study of processing speed on cognitive tasks
diffusion modeling provides one promising theoretical model. Diffusion modeling partitions RT into residual "non-decision" and stochastic "diffusion"
Mental_chronometry
Scientific instrument used to measure fluid flow (rheology)
called rotational or shear rheometers, whereas rheometers that apply extensional stress or extensional strain are extensional rheometers. Rotational or shear
Rheometer
Simple, bladeless radial steam turbine
perpendicular to the axis of the bearings, the thrusts combine to result in a rotational moment (mechanical couple), or torque, causing the vessel to spin about
Aeolipile
First planet from the Sun
Mercury's rotational period was 88 days, the same as its orbital period due to tidal locking. This phenomenon is known as synchronous rotation. The effort
Mercury_(planet)
Pseudovector field describing the local rotation of a continuum near some point
viscosity causes a diffusion of vorticity away from the vortex cores into the general flow field; this flow is accounted for by a diffusion term in the vorticity
Vorticity
Diffusion curves are vector graphic primitives for creating smooth-shaded images. Each diffusion curve partitions the 2D graphics space through which it
Diffusion_curve
Differential operator in mathematics
Poisson's equation describes electric and gravitational potentials; the diffusion equation describes heat and fluid flow; the wave equation describes wave
Laplace_operator
Noise that reduces quantization error
Boltzmann methods and was developed to provide a rotationally invariant alternative to Error-diffusion dithering Electrostatic Halftoning is modeled after
Dither
Thermal transpiration (or thermal diffusion) refers to the thermal force on a gas due to a temperature difference. Thermal transpiration causes a flow
Thermal_transpiration
Pulse sequence during a medical test
cerebrospinal fluid (CSF). Diffusion MRI measures the diffusion of water molecules in biological tissues. Clinically, diffusion MRI is useful for the diagnoses
MRI_pulse_sequence
Foundation model allowing control of robot actions
action space usually includes end-effector displacements (positional and rotational) and gripper positions. For instance, in RT-2, each action vector covers
Vision–language–action_model
Ratio of a fluid's kinematic viscosity to mass diffusivity
characterize fluid flows in which there are simultaneous momentum and mass diffusion convection processes. It was named after German engineer Ernst Heinrich
Schmidt_number
Machine for continuous flow gas compression
{\displaystyle {\dot {m}},P_{D}\,} ) at some rotational speed N. On decreasing the flow-rate at same rotational speed along the characteristic curve by partial
Axial_compressor
Model of electrically conducting fluids
magnetic Reynolds numbers, in which magnetic induction dominates magnetic diffusion at the velocity and length scales under consideration. Consequently, processes
Magnetohydrodynamics
Mechanism of spontaneous phase separation
modulation in an initially homogeneous alloy implies uphill diffusion or a negative diffusion coefficient. Becker and Dehlinger had already predicted a
Spinodal_decomposition
Cipher design construction
and P-boxes already satisfies Shannon's confusion and diffusion properties: The reason for diffusion is the following: If one changes one bit of the plaintext
Substitution–permutation network
Substitution–permutation_network
materials is a brief displacement in the permanent dipoles which causes rotational entropy. Since the frequency of the microwave energy is much faster than
Non-thermal_microwave_effect
Brightest star in the constellation Lyra
..102025S. Zorec, J.; Royer, F. (2012). "Rotational velocities of A-type stars. IV. Evolution of rotational velocities". Astronomy and Astrophysics. 537:
Vega
Width of the beam of light emitted by a light
field angle are specific kinds of what has been termed angle of diffusion or diffusion angle. IES does not define the term beam centerline, but it does
Beam_angle
S-shaped curve
long economic cycles and on diffusion of innovations. Arnulf Grübler's book (1990) gives a detailed account of the diffusion of infrastructures including
Logistic_function
Motif of three hares in threefold rotational symmetry
g., the triple spiral), the symbol of the three hares has a threefold rotational symmetry. Each of the ears is shared by two hares, so that only three
Three_hares
Deflection of a spinning object moving through a fluid
direction of the Magnus force is dependent on the speed and direction of the rotation of the object. The Magnus effect is named after Heinrich Gustav Magnus
Magnus_effect
Idealised bead–spring model of polymer dynamics
Kuhn segments) that make up the ideal freely-jointed chain. Longest (rotational) Rouse relaxation time: τ R = ζ N 2 l 2 3 π 2 k B T {\displaystyle \tau
Rouse_model
Mathematical function
used for Gaussian blurs, and in mathematics to solve heat equations and diffusion equations and to define the Weierstrass transform. They are also abundantly
Gaussian_function
Mechanism for converting reciprocating motion to rotation
component used in a piston engine to convert the reciprocating motion into rotational motion. The crankshaft is a rotating shaft containing one or more crankpins
Crankshaft
Algorithm
schedule Lai–Massey scheme Product cipher S-box P-box SPN Confusion and diffusion Round Avalanche effect Block size Key size Key whitening (Whitening transformation)
Symmetric-key_algorithm
Cryptographic attack
or the dividend is small. CPUs without a barrel shifter run shifts and rotations in a loop, one position at a time. As a result, the amount to shift must
Timing_attack
Flow created by a uniformly rotating infinitely long plate disk
F.A. (2011). "Theory of the propagation dynamics of spiral edges of diffusion flames in von Kármán swirling flows" (PDF). Combustion and Flame. 158
Von_Kármán_swirling_flow
resonance imaging, spatially selective spectroscopy and studies of diffusion via diffusion ordered nuclear magnetic resonance spectroscopy (DOSY). PFG techniques
Pulsed_field_gradient
Planar movement within a Euclidean space without rotation
of angles. A slide is a translation along a screw axis, around which a rotation may also occur. We can cite as practical examples of translation, elevators
Translation_(geometry)
Hazards associated with underwater diving
and decompression is too fast to allow safe elimination of the gas by diffusion into the capillaries and transport to the lungs where it can diffuse into
List of diving hazards and precautions
List_of_diving_hazards_and_precautions
1962 A Dialogue for This Decade: Sterling McMurrin B&W 20m June 5, 1962 Diffusion and Osmosis Stanley Croner (producer); Charles F. Finance color 14m August
List of Encyclopædia Britannica Films titles
List_of_Encyclopædia_Britannica_Films_titles
Chemical data page for water
Manfred; Heil, Stefan R.; Sacco, Antonio (2000). "Temperature-dependent self-diffusion coefficients of water and six selected molecular liquids for calibration
Water_(data_page)
Working electrode used in hydrodynamic voltammetry
is limited by the diffusion of species in solution. By running linear sweep voltammetry and other experiments at various rotation rates, different electrochemical
Rotating_disk_electrode
Motion characterized by chaotic changes in pressure and flow velocity
into heat. Turbulent flow is always rotational and three dimensional. For example, atmospheric cyclones are rotational but their substantially two-dimensional
Turbulence
Leg joint in primates
vessels inside of the hyaline cartilage, the alimentation is performed per diffusion. Synovial fluid and the subchondral bone marrow serve both as nutrition
Knee
Family of block ciphers
transformation called the XS-box, followed by a linear diffusion operation. The final half-round replaces the diffusion with a simple post-whitening. The XS-box, which
Hierocrypt
Process forming a path from many random steps
diffusion of dopants, defects and other impurities during the critical fabrication steps. Random walk treatments are also used to study the diffusion
Random_walk
Loops of electric current induced within conductors by a changing magnetic field
magnetization of the material and μ0 is the vacuum permeability. The diffusion equation therefore is ∇ 2 H = μ 0 σ ( ∂ M ∂ t + ∂ H ∂ t ) . {\displaystyle
Eddy_current
Describing the thickness of fluid in a cell membrane
viscosity, is the friction experienced by a single particle undergoing diffusion because of its interaction with its environment at the micrometer length
Microviscosity
Ordered arrangement of atoms, ions, or molecules in a crystalline material
original configuration; the crystal has twofold rotational symmetry about this axis. In addition to rotational symmetry, a crystal may have symmetry in the
Crystal_structure
Regularity in sensory qualia or abstract ideas
mirror symmetry as this favours movement. Plants often have radial or rotational symmetry, as do many flowers, as well as animals which are largely static
Pattern
Microscopic processes responsible for changes in a material's structure, shape and volume
has a weak stress dependence. Coble creep, or grain-boundary diffusion, is the diffusion of vacancies occurs along grain-boundaries to elongate the grains
Deformation_mechanism
material properties in the local structure, phase transitions, magnetism and diffusion can be investigated. The PAC method is related to nuclear magnetic resonance
Perturbed_angular_correlation
Formulation of quantum mechanics
remarked that the equation named after him looked like the diffusion equation after Wick rotation. Note, however, that the Euclidean path integral is actually
Path-integral_formulation
Powered mechanical device
Motors: Electric motors use either AC or DC electric current to generate rotational movement. Electric servomotors are the actuators for mechanical systems
Machine
Concentrating specific isotopes of a chemical element
of the heavy water. Often done with gases, but also with liquids, the diffusion method relies on the fact that in thermal equilibrium, two isotopes with
Isotope_separation
Partial differential equation
equation for a Riemannian metric. It is often said to be analogous to the diffusion of heat and the heat equation, due to formal similarities in the mathematical
Ricci_flow
ROTATIONAL DIFFUSION
ROTATIONAL DIFFUSION
Boy/Male
Hindu
Rational
Boy/Male
Indian
Talker, Speaker, Rational
Boy/Male
Gujarati, Hindu, Indian, Kannada, Malayalam, Marathi, Telugu
Animated; Rational
Boy/Male
Tamil
Rational
Girl/Female
Christian, German, Greek, Hebrew
Noble; Kind; Rational; Great Happiness
Boy/Male
Biblical
Diffusion; inclination; theft.
Boy/Male
Tamil
Rational
Girl/Female
American, Christian, German, Greek, Hebrew
Noble Kind; Nobility; Rational; Great Happiness; Form of Alice
Boy/Male
Arabic, Muslim, Sindhi
Endowed with Speech; Eloquent; Spokesperson; Talker; Speaker; Rational; Categorical (Decision)
Boy/Male
Hindu
Rational
Girl/Female
German, Greek
Noble; Kind; Rational
Boy/Male
Muslim/Islamic
Categorical (decision) talker, speaker, rational
Boy/Male
Muslim
Talker, Speaker, Rational
Girl/Female
Christian, German, Greek, Hebrew
Noble; Kind; Rational; Light-hearted; Pledged to God
Girl/Female
Hindu, Indian
Rational
Girl/Female
Hindu, Indian
Rational
Boy/Male
Biblical
Diffusion; inclination; theft.
ROTATIONAL DIFFUSION
ROTATIONAL DIFFUSION
Male
Egyptian
, the chief of the choristers of the goddess Maut.
Surname or Lastname
English
English : topographic name for someone who lived by a hedgerow or in a row of houses built next to one another, from Middle English row (northern Middle English raw, from Old English rÄw).English : from the medieval personal name Row, a variant of Rou(l) (see Rollo, Rolf) or a short form of Rowland.English : English name adopted by bearers of French Baillargeon.
Boy/Male
Arabic, Muslim
Divinity of Wisdom
Boy/Male
Arabic
God is my wealth.
Girl/Female
English American
Derived from Victoria: triumphant.
Girl/Female
Indian, Sikh
Sweet Heart
Boy/Male
Arabic, Muslim
Servant of the Praiseworthy; Ever-praised
Girl/Female
American, Australian, Spanish
Star
Boy/Male
Slavic Russian Polish
Lively.
Surname or Lastname
Norwegian
Norwegian : habitational name from any of several farmsteads named Gardnes, probably from Old Norse garðr ‘fence’ + nes ‘headland’.English (Worcester) : variant spelling of Garniss, of uncertain origin, perhaps a derivative of Old French gernon ‘moustache’.
ROTATIONAL DIFFUSION
ROTATIONAL DIFFUSION
ROTATIONAL DIFFUSION
ROTATIONAL DIFFUSION
ROTATIONAL DIFFUSION
a.
Relating to the reason; not physical; mental.
a.
Probationary.
a.
Expressing the type, structure, relations, and reactions of a compound; graphic; -- said of formulae. See under Formula.
n.
Velocity of rotation about some specified axis.
a.
Agreeable to reason; not absurd, preposterous, extravagant, foolish, fanciful, or the like; wise; judicious; as, rational conduct; a rational man.
n.
The act of turning, as a wheel or a solid body on its axis, as distinguished from the progressive motion of a revolving round another body or a distant point; thus, the daily turning of the earth on its axis is a rotation; its annual motion round the sun is a revolution.
a.
Indicating or specifying some relation.
v. t.
To form a rational conception of.
a.
Having relation or kindred; related.
a.
Pertaining to, or resulting from, rotation; of the nature of, or characterized by, rotation; as, rotational velocity.
n.
A turn revolution; rotation; compass.
adv.
In a rational manner.
n.
Any return or succesion in a series.
n.
Rotation, as in office; succession.
a.
turning, as a wheel; rotary; rotational.
a.
Of or pertaining to a station.
a.
Circular; suitable to rotation.
n.
A rational being.
a.
Having reason, or the faculty of reasoning; endowed with reason or understanding; reasoning.
a.
Not rotatory; passing from one point to another by a movement other than rotation; -- said of the movement of parts of a liquid or yielding mass.