5 papers
A Second-Order Stochastic Leap-Frog Algorithm for Multiplicative Noise Brownian Motion
Ji Qiang, Salman Habib
A stochastic leap-frog algorithm for the numerical integration of Brownian motion stochastic differential equations with multiplicative noise is proposed and tested. The algorithm…
Chaos and Noise in a Truncated Toda Potential
Salman Habib, Henry E. Kandrup, M. Elaine Mahon
Results are reported from a numerical investigation of orbits in a truncated Toda potential which is perturbed by weak friction and noise. Two significant conclusions are shown to…
Statistical Mechanics of Kinks in (1+1)-Dimensions: Numerical Simulations and Double Gaussian Approximation
Francis J. Alexander, Salman Habib, Alex Kovner
We investigate the thermal equilibrium properties of kinks in a classical $\F^4$ field theory in dimensions. From large scale Langevin simulations we identify the temperature…
Statistical Mechanics of Kinks in (1+1)-Dimensions
Francis J. Alexander, Salman Habib
We investigate the thermal equilibrium properties of kinks in a classical field theory in dimensions. The distribution function, kink density, and correlation function…
Nonlinear Noise in Cosmology
Salman Habib, Henry E. Kandrup
This paper derives and analyzes exact, nonlocal Langevin equations appropriate in a cosmological setting to describe the interaction of some collective degree of freedom with a sur…