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Response Relation Around Nonequilibrium Steady State
The response function, exhibiting how the system changes by external perturbations, is one of the most important functions characterizing materials.
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Interpolation Between Modified Logarithmic Sobolev and Poincaré Inequalities for Quantum Markovian Dynamics
We define the quantum p -divergence and introduce Beckner’s inequalities for primitive quantum Markov semigroups on a finite-dimensional matrix...
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Uphill in Reaction-Diffusion Multi-species Interacting Particles Systems
We study reaction-diffusion processes with multi-species particles and hard-core interaction. We add boundary driving to the system by means of...
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Search for Food of Birds, Fish, and Insects
This is a brief review about the question of whether biologically relevant search strategies can be identified by statistical data analysis and...
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What is Life? Open Quantum Systems Approach
Since a living system is fundamentally open (an isolated biosystem is dead), the theory of open quantum systems is the most powerful tool for...
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Generation of Correlated Photon Pairs by a Five-Level Quantum Dot in a Microcavity
AbstractThe processes of entangled state generation in the course of cascade emission of photons in a semiconductor single-electron quantum dot are...
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Frenetic Steering in a Nonequilibrium Graph
In traditional recognition tasks of neural networks a potential landscape or cost function guides the system towards patterns using a gradient...
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Ergodic Theory of Multi-layer Interacting Particle Systems
We consider a class of multi-layer interacting particle systems and characterize the set of ergodic probability measures with finite moments. The...
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Reconstruction Procedure for Writing Down the Langevin and Jump-Diffusion Dynamics from Empirical Uni- and Bivariate Time Series
In this chapter we present the steps of reconstruction procedure for writing down the Langevin and jump diffusion stochastic dynamical equations for...
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Filters and Predictors
Suppose we have a system under control, described by dynamical equations of motion for the N-dimensional state vector X(t), and we have obtained an...
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Large Deviations and Entropy Production in Viscous Fluid Flows
We study the motion of a particle in a random time-dependent vector field defined by the 2D Navier–Stokes system with a noise. Under suitable...
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Estimating time-dependent entropy production from non-equilibrium trajectories
The rate of entropy production provides a useful quantitative measure of a non-equilibrium system and estimating it directly from time-series data...
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RECONSTRUCTION OF THE TIME DEPENDENCE OF A TRANSIENT BOUNDARY LOAD APPLIED TO A THREE-DIMENSIONAL ISOTROPIC LINEARLY ELASTIC SOLID
Abstract—A technique for identifying the time dependence of an transient boundary load with a known spatial distribution acting on a...
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Extinction Time of Non-Markovian Self-Similar Processes, Persistence, Annihilation of Jumps and the Fréchet Distribution
We start by providing an explicit characterization and analytical properties, including the persistence phenomena, of the distribution of the...
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Indecomposable Coupled Map Lattices with Non–unique Phase
A compact topologically mixing uniformly hyperbolic attractor for a diffeomorphism of a finite-dimensional manifold with Hölder continuous derivative...
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Fractional Boltzmann and Fokker–Planck Equations
The fractional Boltzmann and Fokker–Planck equations could be derived from the continuous-time random walks (CTRW) model. The usual random walks...
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Engineered dissipation for quantum information science
Quantum information processing relies on the precise control of non-classical states in the presence of many uncontrolled environmental degrees of...
