125 citations · 313 across the 15 of their papers we have counts for
15 papers
Perturbation theory for a non-equilibrium stationary state of a one-dimensional stochastic wave equation
Gianluca Guadagni, Lawrence E. Thomas
We address the problem of constructing a non-equilibrium stationary state for a one-dimensional stochastic Klein-Gordon wave equation with non-linearity, using perturbation theory.…
Estimates on Functional Integrals of Quantum Mechanics and Non-Relativistic Quantum Field Theory
Gonzalo A. Bley, Lawrence E. Thomas
We provide a unified method for obtaining upper bounds for certain functional integrals appearing in quantum mechanics and non-relativistic quantum field theory, functionals of the…
Ground state properties of multi-polaron systems
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer +1
We summarize our recent results on the ground state energy of multi-polaron systems. In particular, we discuss stability and existence of the thermodynamic limit, and we discuss th…
Persistent energy flow for a stochastic wave equation model in nonequilibrium statistical mechanics
Lawrence E. Thomas
We consider a one-dimensional partial differential equation system modeling heat flow around a ring. The system includes a Klein-Gordon wave equation for a field satisfying spatial…
Binding, Stability, and Non-binding of Multi-polaron Systems
Rupert L. Frank, Elliott H. Lieb, Robert Seiringer +1
The binding of polarons, or its absence, is an old and subtle topic. After defining the model we state some recent theorems of ours. First, the transition from many-body collapse t…
Stationary state solutions for a gently stochastic nonlinear wave equation with ultraviolet cutoffs
Yao Wang, Lawrence E. Thomas
We consider a non-linear, one-dimensional wave equation system with finite-dimensional stochastic driving terms and with weak dissipation. A stationary process that solves the syst…