Interfaces, Modulated Phases and Textures in Lattice Systems
Sign Up to like & getrecommendations! Published in 2017 at "Archive for Rational Mechanics and Analysis"
DOI: 10.1007/s00205-016-1050-7
Abstract: We introduce a class of n-dimensional (possibly inhomogeneous) spin-like lattice systems presenting modulated phases with possibly different textures. Such systems can be parameterized according to the number of ground states, and can be described by… read more here.
Keywords: textures lattice; interfaces modulated; phases textures; lattice systems ... See more keywords
Periodic Motions for FPU Lattice Systems with Asymptotically Quadratic Potentials
Sign Up to like & getrecommendations! Published in 2019 at "Journal of Dynamics and Differential Equations"
DOI: 10.1007/s10884-017-9639-6
Abstract: In this paper, we consider the following autonomous Fermi–Pasta–Ulam lattice dynamical system: $$\begin{aligned} \ddot{q}_{i}=\Phi '_{i-1}(q_{i-1}-q_{i})-\Phi '_{i}(q_{i}-q_{i+1}),\qquad i\in \mathbb {Z}, \end{aligned}$$q¨i=Φi-1′(qi-1-qi)-Φi′(qi-qi+1),i∈Z,where $$\Phi _{i}$$Φi denotes the interaction potential between two neighboring particles and $$q_{i}(t)$$qi(t) is the state… read more here.
Keywords: fpu lattice; lattice systems; asymptotically quadratic; periodic motions ... See more keywords
Exploring instantons in nonlinear sigma models with spin-lattice systems
Sign Up to like & getrecommendations! Published in 2021 at "Physical Review B"
DOI: 10.1103/physrevb.103.144436
Abstract: Instanton processes are present in a variety of quantum field theories relevant to high energy as well as condensed matter physics. While they have led to important theoretical insights and physical applications, their underlying features… read more here.
Keywords: sigma models; lattice systems; instantons nonlinear; exploring instantons ... See more keywords
Random uniform exponential attractors for non-autonomous stochastic lattice systems and FitzHugh–Nagumo lattice systems with quasi-periodic forces and multiplicative noise
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DOI: 10.1142/s0219493720500367
Abstract: We first give an existence criterion for a random uniform exponential attractor for a jointly continuous non-autonomous random dynamical system defined on the product space of N-weighted spaces of ... read more here.
Keywords: uniform exponential; non autonomous; lattice systems; random uniform ... See more keywords
The asymptotic behaviour of fractional lattice systems with variable delay
Sign Up to like & getrecommendations! Published in 2019 at "Fractional Calculus and Applied Analysis"
DOI: 10.1515/fca-2019-0038
Abstract: Abstract The existence and uniqueness of global solutions for a fractional functional differential equation is established. The asymptotic behaviour of a lattice system with a fractional substantial time derivative and variable time delays is investigated.… read more here.
Keywords: behaviour fractional; lattice systems; fractional lattice; asymptotic behaviour ... See more keywords