In this paper, we consider a class of time-dependent neutral stochastic evolution equations with the infinite delay and a fractional Brownian motion in a Hilbert space. We establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz conditions with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory

Abstract When a physical system evolves in thermal bath kept at constant temperature, it eventually reaches an equilibrium state which properties are independent of the kinetic parameters and precise evolution scenario. This is generically not case for driven out which, on contrary, steady-state with that depend full details dynamics such as driving noise energy dissipation. How steady depends ...

We study the nonequilibrium dynamics of a pseudoscalar axionlike particle (ALP) weakly coupled to degrees freedom in thermal equilibrium by obtaining its reduced density matrix. Its time evolution is determined in-in effective action which we obtain leading order ALP coupling but all orders couplings bath other fields within or beyond standard model. The equation motion for Langevin with noise ...

We introduce a 1+1-dimensional temperature-dependent model such that the classical ballistic deposition is recovered as its zero-temperature limit. Its ∞-temperature version, which we refer to 0-Ballistic Deposition (0-BD) model, randomly evolving interface which, surprisingly enough, does not belong either Edwards–Wilkinson (EW) or Kardar–Parisi–Zhang (KPZ) universality class. show 0-BD has sc...