Browsing by Subject "Physics, Mathematical"
Now showing items 1-8 of 8
-
A stochastic-Lagrangian particle system for the Navier-Stokes equations
(Nonlinearity, 2008-11-01)This paper is based on a formulation of the Navier-Stokes equations developed by Constantin and the first author (Commun. Pure Appl. Math. at press, arXiv:math.PR/0511067), where the velocity field of a viscous incompressible ... -
An energy stable C0 finite element scheme for a quasi-incompressible phase-field model of moving contact line with variable density
(Journal of Computational Physics, 2020-03-15)In this paper, we focus on modeling and simulation of two-phase flow problems with moving contact lines and variable density. A thermodynamically consistent phase-field model with general Navier boundary condition is developed ... -
Anomalous dissipation in a stochastically forced infinite-dimensional system of coupled oscillators
(Journal of Statistical Physics, 2007-09-01)We study a system of stochastically forced infinite-dimensional coupled harmonic oscillators. Although this system formally conserves energy and is not explicitly dissipative, we show that it has a nontrivial invariant ... -
Elusive Worldsheet Instantons in Heterotic String Compactifications
(STRING-MATH 2011, 2012-01-01)We compute the spectrum of massless gauge singlets in some heterotic string compactifications using Landau-Ginzburg, orbifold and non-linear sigma-model methods. This probes the worldsheet instanton corrections ... -
Reduced-order deep learning for flow dynamics. The interplay between deep learning and model reduction
(Journal of Computational Physics, 2020-01) -
Simple systems with anomalous dissipation and energy cascade
(Communications in Mathematical Physics, 2007-11-01)We analyze a class of dynamical systems of the type ȧn(t) = cn-1 an-1(t) - cn an+1(t) + f n(t), n ∈ ℕ, a 0=0, where f n (t) is a forcing term with fn(t) ≠ = 0 only for ≤n n* < ∞ and the coupling coefficients c n satisfy ... -
Stationary state volume fluctuations in a granular medium.
(Physical review. E, Statistical, nonlinear, and soft matter physics, 2005-03-30)A statistical description of static granular material requires ergodic sampling of the phase space spanned by the different configurations of the particles. We periodically fluidize a column of glass beads and find that ... -
Topological strings, D-model, and knot contact homology
(Advances in Theoretical and Mathematical Physics, 2014)© 2014 International Press. We study the connection between topological strings and contact homology recently proposed in the context of knot invariants. In particular, we establish the proposed relation between the Gromov- ...
