Brownian Particle
A new heat propagation velocity prevails over Brownian particle velocities in determining the thermal conductivities of nanofluids
... An alternative insight is presented concerning heat propagation velocity scales in predicting the effective thermal conductivities of nanofluids. The widely applied Brownian particle velocities in published ...
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Thermally activated escape rate for a Brownian particle in a double well potential for all values of the dissipation
... mechanical Brownian particle because one may exactly solve the corre- sponding Fokker-Planck equation describing the evolution of the distribution function in phase space using matrix contin- ued ...
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Nonlinear noninertial response of a quantum Brownian particle in a tilted periodic potential to a strong ac force as applied to a point Josephson junction
... the Brownian particle and the heat bath are small enough to al- low one to use the weak-coupling limit, and if the correlation time characterizing the bath is so short that one can regard the stochastic ...
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Relaxation time for nonlinear response of a Brownian particle subject to a step external force: Analytical solutions for one dimensional models
... gives the exact solution for the nonlinear birefringence and dielectric relaxation times when a strong homogeneous electric field F0 is suddenly applied to the system where a Maxwell-Bol[r] ...
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Fractional translational diffusion of a Brownian particle in a double well potential
... Relaxation and diffusion processes in complex disordered systems such as amorphous polymers, glass forming liquids, etc., exhibit temporal nonlocal behavior arising from ener- getic disorder causing obstacles or traps ...
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Smoluchowski equation approach for quantum Brownian motion in a tilted periodic potential
... as Brownian motion 共see, for example, 关 9–14 兴兲 ...quantum Brownian motion of a particle of mass m moving in a potential V共x兲 is usually studied by regarding the Brownian particle as ...
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Fluctuation theorem for an optically trapped tracer in dense colloids. A simulation study
... isolated Brownian particle, where the friction coefficient and temperature of the medium have been fitted to reproduce the position distribution of the tracer in the ...
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Diffusion laws in dendritic spines
... a Brownian particle, such as an ion or molecule inside the spine, and of a receptor on its membrane, prior to absorption at the dendritic shaft depends strongly on the curvature of the connection of the ...
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An Ensemble Method of the Relationship between Diffusion Coefficient and Entropy in the Classical Brownian Motion
... classical Brownian diffusion in this ...the Brownian particle M is far greater than that of the bath molecule m, we can adopt the weakly couple ...
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Inertial effects in suspension dynamics
... finite particle inertia on the microstructure of sus- pensions of heavy particles subjected to an external ...of particle inertia is characterized by the Stokes number (St), defined as the ratio of the ...
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Semiclassical master equation in Wigner's phase space applied to the Brownian motion in a periodic potential
... deep understanding of the dynamics of dissipative quantum systems. Moreover, many problems concerning quantum ef- fects on diffusive transport properties, activated barrier crossing, etc., have been solved. However, in ...
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Telegraph Equations and Complementary Dirac Equation from Brownian Movement
... describe particle densities in Brownian movement on a lattice site and showed that the complementary classical Dirac equation appears natu- rally as the consequence of correlations in particle tra- ...
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Quantum effects in the Brownian motion of a particle in a double well potential in the overdamped limit
... the Brownian motion in a double well potential is the stochastic resonance 2 occur- ring for very high dissipation of the thermal energy of a Brownian particle to its heat bath; whereby a weak ...
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On Nonequilibrium Statistical Mechanics
... the Brownian particle is placed into the fluid, it begins to collide with fluid molecules as it approaches ...the Brownian particle were to col- lide with some molecule it had already ...
142
Feedback control of Brownian motion for single particle fluorescence spectroscopy
... the particle explores a spatially varying excitation laser ...a Brownian particle’s diffusion coefficient, was passed on to Kevin McHale, a graduate student who had recently joined the ...fluorescent ...
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Dyson's Brownian motions, intertwining and interlacing
... the interaction is the other way around. The duality can be checked explictly at the level of the transition semigroups, because, somewhat surprisingly, we are able to give explicit formulae for the transition densities. ...
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Contribution of Brownian Motion in Thermal Conductivity of Nanofluids
... improved Brownian motion-based combined thermal conductivity model is reported and a renovated Brownian motion term is used in this ...the Brownian motion of nanoparticles, this model also takes into ...
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Anisotropic texture modeling and applications to medical image analysis
... Therefore we consider anisotropic generalizations of FBF such as the anisotropic fractional Brownian field [6]. The Hurst parameter is replaced by a function that characterizes the model anisotropy. We briefly ...
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Scaling analysis for the investigation of slip mechanisms in nanofluids
... and Brownian diffusion have major effect on the particle migration and that the effect of viscosity gradient and non-uniform shear rate can be ...that Brownian diffusion and thermophoresis are the ...
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A Lévy-Ciesielski expansion for quantum Brownian motion and the construction of quantum Brownian bridges
... tum Brownian motion in terms of families of pairs of self-adjoint opera- ...space Brownian motion in terms of the canonical pair ((Q(t), P (t)), t ≥ 0) where Q(t) = a(1 [0,t) ) + a † (1 [0,t) ) and P (t) = ...
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