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The Stability of Matter: From Atoms to Stars. Selecta of Elliott H. Lieb. Edited by W. Thirring, and with a preface by F. Dyson. Fourth edition. Springer, Berlin, 2005. Elliott H. Lieb and Robert Seiringer, The Stability of Matter in Quantum Mechanics. Cambridge Univ. Press, 2010. Elliott H. Lieb, The stability of matter: from atoms to stars ...
Solid-state physics is the study of rigid matter, or solids, through methods such as solid-state chemistry, quantum mechanics, crystallography, electromagnetism, and metallurgy. It is the largest branch of condensed matter physics. Solid-state physics studies how the large-scale properties of solid materials result from their atomic-scale ...
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Floquet theory shows stability in Hill differential equation (introduced by George William Hill) approximating the motion of the moon as a harmonic oscillator in a periodic gravitational field. Bond softening and bond hardening in intense laser fields can be described in terms of solutions obtained from the Floquet theorem.
A phase diagram displaying spinodal curves, within the binodal coexistence curves and two critical points: an upper and lower critical solution temperature.. In thermodynamics, the limit of local stability against phase separation with respect to small fluctuations is clearly defined by the condition that the second derivative of Gibbs free energy is zero.
For stability, the cloud must be in hydrostatic equilibrium, which in case of a spherical cloud translates to = (), where () is the enclosed mass, is the pressure, () is the density of the gas (at radius ), is the gravitational constant, and is the radius. The equilibrium is stable if small perturbations are damped and unstable if they are ...
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In condensed matter physics, geometrical frustration (or in short, frustration) is a phenomenon where the combination of conflicting inter-atomic forces leads to complex structures. Frustration can imply a plenitude of distinct ground states at zero temperature , and usual thermal ordering may be suppressed at higher temperatures.