We numerically study the relaxation dynamics and associated criticality of non-Brownian frictionless spheres below jamming in spatial dimensions $d=2$, $3$, $4$, $8$, mean-field Mari-Kurchan model. discover non-trivial finite-size volume fraction dependences time to unjammed packings. In particular, is shown diverge logarithmically with system size at any density jamming, no critical exponent c...

In a recent Letter, Wang and Brady (WB) [1] analyze the rheology of Brownian hard spheres using constant stress and pressure Brownian dynamics simulations. The main observable is the shear viscosity ηð_ γ;ΠÞ, expressed as a function of the shear rate _ γ and adimensional pressure Π̄ 1⁄4 Πa=ðkBTÞ, where Π is the pressure, kBT the thermal energy, and a the average particle diameter. The central co...

We present an analysis of the thermodynamics, conformational dynamics, and kinetics of the solvated alanine dipeptide molecule. Solvation was treated in the framework of the OPLS/analytic generalized born with nonpolar interactions effective potential model. The effective free energy map was generated in a series of multiwindow umbrella sampling all-atom simulations using the weighted histogram...

We construct a theory for the (1+1)-dimensional Brownian motion in a viscous medium, which is (i) consistent with Einstein's theory of special relativity and (ii) reduces to the standard Brownian motion in the Newtonian limit case. In the first part of this work the classical Langevin equations of motion, governing the nonrelativistic dynamics of a free Brownian particle in the presence of a he...

We study interacting systems of linear Brownian motions whose drift vector at every time point is determined by the relative ranks of the coordinate processes at that time. Our main objective has been to study the long range behavior of the spacings between the Brownian motions arranged in increasing order. For finitely many Brownian motions interacting in this manner, we characterize drifts fo...

Recently, a simple scaling argument was introduced that allows us to map, with some precautions, Brownian and Monte Carlo dynamics for spherical particles. Here, we extend the scaling to study systems that have orientational degrees of freedom and carefully asses its validity over a wide region of temperature and density. Our work allows us to devise a Brownian Monte Carlo algorithm that produc...