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26,762
diffusion of injected Brownian particles
, 2014
"... Abstract. While the theory of diffusion of a single Brownian particle in confined geometries is wellestablished by now, we discuss here the theoretical framework necessary to generalize the theory of diffusion to dense suspensions of strongly interacting Brownian particles. Dynamical density funct ..."
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Abstract. While the theory of diffusion of a single Brownian particle in confined geometries is wellestablished by now, we discuss here the theoretical framework necessary to generalize the theory of diffusion to dense suspensions of strongly interacting Brownian particles. Dynamical density
On collisions of Brownian particles
 Annals of Applied Probability
, 2010
"... Abstract. We examine the behavior of n Brownian particles diffusing on the real line with bounded, measurable drift and bounded, piecewise continuous diffusion coefficients that depend on the current configuration of particles. Sufficient conditions are established for the absence, and for the prese ..."
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Cited by 16 (8 self)
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Abstract. We examine the behavior of n Brownian particles diffusing on the real line with bounded, measurable drift and bounded, piecewise continuous diffusion coefficients that depend on the current configuration of particles. Sufficient conditions are established for the absence
Active Motion of Brownian Particles
"... We investigate the dynamics of Brownian particles which are active in the sense that they take up energy from the environment, which can be stored in a internal energy depot and used for different activities. As one example, we consider the generation of a selfconsistent field, which in turn affect ..."
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We investigate the dynamics of Brownian particles which are active in the sense that they take up energy from the environment, which can be stored in a internal energy depot and used for different activities. As one example, we consider the generation of a selfconsistent field, which in turn
Brownian particle in nonequilibrium plasma
, 2009
"... The stationary distribution function of Brownian particles in a nonequilibrium dusty plasma is calculated with regard to electron and ion absorption by grains. The distribution is shown to be considerably different from the distribution function of ordinary Brownian particles in thermal equilibrium. ..."
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The stationary distribution function of Brownian particles in a nonequilibrium dusty plasma is calculated with regard to electron and ion absorption by grains. The distribution is shown to be considerably different from the distribution function of ordinary Brownian particles in thermal equilibrium
Structure Formation by Active Brownian Particles
 LETT. A
, 1995
"... We call Brownian particles with the ability to generate a field Active Brownian Particles if the produced field selfconsistently determines the motion of the particles or defines their rates of chemical reactions. We worked out examples where this stochastic approach shows behaviour like well known ..."
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Cited by 15 (2 self)
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We call Brownian particles with the ability to generate a field Active Brownian Particles if the produced field selfconsistently determines the motion of the particles or defines their rates of chemical reactions. We worked out examples where this stochastic approach shows behaviour like well
Systems of Brownian particles with asymmetric collisions
, 1210
"... Abstract. We study systems of Brownian particles on the real line, which interact by splitting the local times of collisions among themselves in an asymmetric manner. We prove the strong existence and uniqueness of such processes and identify them with the collections of ordered processes in a Brown ..."
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Cited by 9 (2 self)
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Abstract. We study systems of Brownian particles on the real line, which interact by splitting the local times of collisions among themselves in an asymmetric manner. We prove the strong existence and uniqueness of such processes and identify them with the collections of ordered processes in a
Interacting Brownian particles with strong repulsion
"... We consider a nite system of interacting Brownian particles with strong repulsion on the line or on the circle. The involved equations may be interpreted as the multidimensional extension of some singular stochastic differential equations on a halfline or on a compact interval. As the number o ..."
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Cited by 1 (1 self)
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We consider a nite system of interacting Brownian particles with strong repulsion on the line or on the circle. The involved equations may be interpreted as the multidimensional extension of some singular stochastic differential equations on a halfline or on a compact interval. As the number
Nonlinear Dynamics of Active Brownian Particles
, 2002
"... Abstract. We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for 1−d systems of masses connected by Toda springs which are imbedded into a heat bath ..."
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Abstract. We consider finite systems of interacting Brownian particles including active friction in the framework of nonlinear dynamics and statistical/stochastic theory. First we study the statistical properties for 1−d systems of masses connected by Toda springs which are imbedded into a heat
Granular Flow Modelled by Brownian Particles
"... 15> collisions between the Brownian Particles. The Oneparticledistributionfunction P (x; v; t) is then defined by the following BoltzmannEquation: @ @t P + @ @x [vP ] + @ @v [(g \Gamma flv)P ] = oefl @ 2 @v 2 P + ` @ @t P ' Coll: : (2) Here, \Gamma @ @t P \Delta Coll: ..."
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15> collisions between the Brownian Particles. The Oneparticledistributionfunction P (x; v; t) is then defined by the following BoltzmannEquation: @ @t P + @ @x [vP ] + @ @v [(g \Gamma flv)P ] = oefl @ 2 @v 2 P + ` @ @t P ' Coll: : (2) Here, \Gamma @ @t P \Delta Coll
Results 1  10
of
26,762