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This paper presents novel stabilizability conditions for switched linear systems with arbitrary and uncontrollable underlying switching signals. We distinguish and study two particular settings: i) the \emph{robust} case, in which the…

Optimization and Control · Mathematics 2023-06-21 Matteo Della Rossa , Thiago Alves Lima , Marc Jungers , Raphaël M. Jungers

A general discussion is made concerning the ways in which one can get signatures about a possible liquid-gas phase transition in nuclear matter. Microcanonical temperature, heat capacity and second order derivative of the entropy versus…

Nuclear Theory · Physics 2009-11-07 Al. H. Raduta , Ad. R. Raduta

Field's linear analysis of thermal instability is repeated using methods related to Whitham's theory of wave hierarchies, which brings out the physically relevant parameters in a much clearer way than in the original analysis. It is also…

Astrophysics of Galaxies · Physics 2020-01-29 Samuel Falle , Christopher Wareing , Julian Pittard

The Cahn-Hilliard equation is a fundamental model that describes phase separation processes of two-phase flows or binary mixtures. In recent years, the dynamic boundary conditions for the Cahn-Hilliard equation have been proposed and…

Dynamical Systems · Mathematics 2024-12-12 Shuting Gu , Ming Xiao , Rui Chen

We study the stability of explicit one-step integration schemes for the linear finite element approximation of linear parabolic equations. The derived bound on the largest permissible time step is tight for any mesh and any diffusion matrix…

Numerical Analysis · Mathematics 2016-05-31 Weizhang Huang , Lennard Kamenski , Jens Lang

Direct time-varying tip-sample force measurements by torsional harmonic cantilevers facilitate detailed investigations of the cantilever dynamics in tapping-mode atomic force microscopy. Here we report experimental evidence that the…

Instrumentation and Detectors · Physics 2008-11-26 Ozgur Sahin

We explore the quantum aspects of an elastic bar supported at both ends and subject to compression. If strain rather than stress is held fixed, the system remains stable beyond the buckling instability, supporting two potential minima. The…

Mesoscale and Nanoscale Physics · Physics 2009-11-07 S. M. Carr , W. E. Lawrence , M. N. Wybourne

Our electronic structure theory for crystalline solids is commonly built on the periodic potential assumption $V(\mathbf r)=V(\mathbf r+\mathbf R)$ for every lattice translation $\mathbf R$, enabling Bloch eigenstates, crystal momentum as a…

Strongly Correlated Electrons · Physics 2026-03-26 Wouter Montfrooij

The elements of micromaser physics are reviewed in a tutorial way. The emphasis is on the basic theoretical concepts, not on technical details or experimental subtleties. After a brief treatment of the atom-photon interaction according to…

Quantum Physics · Physics 2007-05-23 Berthold-Georg Englert

The equilibrium state of a system consisting of a large number of strongly interacting electrons can be characterized by its density operator. This gives a direct access to the ground-state energy or, at finite temperatures, to the free…

Strongly Correlated Electrons · Physics 2012-02-23 Michael Potthoff

The existence, uniqueness, and asymptotic stability of modulo periodic Poisson stable solutions of dynamic equations on a periodic time scale are investigated. The model under investigation involves a term which is constructed via a Poisson…

Dynamical Systems · Mathematics 2022-10-12 Fatma Tokmak Fen , Mehmet Onur Fen

Recently it is shown that there are three families of stochastic one-dimensional non-equilibrium lattice models for which the single-shock measures form an invariant subspace of the states of these models. Here, both the stationary states…

Statistical Mechanics · Physics 2007-05-23 Maryam Arabsalmani , Amir Aghamohammadi

We propose a model-independent scaling method to study the physical properties of high-temperature superconductors in the normal state. We have analyze the experimental data of the c-axis resistivity, the in-plane resistivity, the Hall…

Superconductivity · Physics 2009-11-13 H. G. Luo , Y. H. Su , T. Xiang

What is the complex impedance of a fully coherent quantum resistance-capacitance (RC) circuit at GHz frequencies in which a resistor and a capacitor are connected in series? While Kirchhoff's laws predict addition of capacitor and resistor…

Mesoscale and Nanoscale Physics · Physics 2016-08-16 Julien Gabelli , Gwendal Fève , Jean-Marc Berroir , Bernard Plaçais , A. Cavanna , Bernard Etienne , Yong Jin , Christian Glattli

Critical dynamics in various glass models including those described by mode coupling theory is described by scale-invariant dynamical equations with a single non-universal quantity, i.e. the so-called parameter exponent that determines all…

Disordered Systems and Neural Networks · Physics 2013-02-21 Giorgio Parisi , Tommaso Rizzo

We show that in a ring-shaped Luttinger Liquid (LL) in contact with an electron reservoir --- the chemical potential in the ring being controlled by a gate voltage $V_g$ --- both the average ring charge and the persistent current in the…

Condensed Matter · Physics 2016-08-15 I. V. Krive , P. Sandström , R. I. Shekhter , M. Jonson

A new wavefunction which improves the Gutzwiller-type local ansatz method has been proposed to describe the correlated electron system. The ground-state energy, double occupation number, momentum distribution function, and quasiparticle…

Strongly Correlated Electrons · Physics 2009-11-13 Y. Kakehashi , T. Shimabukuro , C. Yasuda

The Large Hadron Collider, LHC, though meant for discovery, will provide enough data from early phase to also perform various studies of Standard Model processes in as yet unexplored kinematic regions. Precision measurements of the…

High Energy Physics - Experiment · Physics 2008-09-10 Kajari Mazumdar

We address several issues regarding the derivation and implementation of the Cauchy-Born approximation of the stress at finite temperature. In particular, an asymptotic expansion is employed to derive a closed form expression for the first…

Mathematical Physics · Physics 2013-10-11 Jerry Z. Yang , Chao Mao , Xiantao Li , Chun Liu

We examine temperature dependent picosecond dynamics as a function of structure and function for lysozyme and cytochrome c using temperature dependent terahertz permittivity measurements. A double Arrhenius temperature dependence with…

Biomolecules · Quantitative Biology 2011-05-24 J. Y. Chen , D. K. George , Yunfen He , J. R. Knab , A. G. Markelz
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