7 papers
Diffusion-Limited Reaction in One Dimension: Paired and Unpaired Nucleation
S. Habib, K. Lindenberg, G. Lythe +1
We consider the dynamics of diffusing particles in one space dimension with annihilation on collision and nucleation (creation of particles) with constant probability per unit time…
Dynamics of Kinks: Nucleation, Diffusion and Annihilation
Salman Habib, Grant Lythe
We investigate the nucleation, annihilation, and dynamics of kinks in a classical (1+1)-dimensional Phi^4 field theory at finite temperature. From large scale Langevin simulations,…
Periodic Instantons in SU(2) Yang-Mills-Higgs Theory
G. Bonini, S. Habib, E. Mottola +3
The properties of periodic instanton solutions of the classical SU(2) gauge theory with a Higgs doublet field are described analytically at low energies, and found numerically for…
Winding Transitions at Finite Energy and Temperature: An O(3) Model
Salman Habib, Emil Mottola, Peter Tinyakov
Winding number transitions in the two dimensional softly broken O(3) nonlinear sigma model are studied at finite energy and temperature. New periodic instanton solutions which domi…
Dissipation and Decoherence in Mean Field Theory
Salman Habib, Yuval Kluger, Emil Mottola +1
The time evolution of a closed system of mean fields and fluctuations is Hamiltonian, with the canonical variables parameterizing the general time-dependent Gaussian density matrix…
Symplectic Calculation of Lyapunov Exponents
Salman Habib, Robert D. Ryne
The Lyapunov exponents of a chaotic system quantify the exponential divergence of initially nearby trajectories. For Hamiltonian systems the exponents are related to the eigenvalue…