By M. Yu. Kagan

ISBN-10: 9400769601

ISBN-13: 9789400769601

ISBN-10: 940076961X

ISBN-13: 9789400769618

This booklet concisely provides the newest developments within the physics of superconductivity and superfluidity and magnetism in novel platforms, in addition to the matter of BCS-BEC crossover in ultracold quantum gases and high-Tc superconductors. It additional illuminates the in depth trade of principles among those heavily comparable fields of condensed subject physics over the past 30 years in their dynamic improvement. The content material relies at the author’s unique findings bought on the Kapitza Institute, in addition to complex lecture classes he held on the Moscow Engineering actual Institute, Amsterdam collage, Loughborough college and LPTMS Orsay among 1994 and 2011. as well as the findings of his team, the writer discusses the newest suggestions in those fields, received either in Russia and within the West. The ebook contains sixteen chapters that are divided into 4 elements. the 1st half describes fresh advancements in superfluid hydrodynamics of quantum fluids and solids, together with the modern topic of attainable supersolidity in quantum crystals of 4He, whereas the second one describes BCS-BEC crossover in quantum Fermi-Bose gases and combos, in addition to within the underdoped states of cuprates. The 3rd half is dedicated to non-phonon mechanisms of superconductivity in unconventional (anomalous) superconductors, together with a few vital elements of the idea of high-Tc superconductivity. |The final half considers the anomalous general kingdom of novel superconductive fabrics and fabrics with giant magnetoresistance (CMR). The ebook deals a precious advisor for senior-level undergraduate scholars and graduate scholars, postdoctoral and different researchers focusing on solid-state and low-temperature physics.

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**Sample text**

1], Sect. 3, and Chap. 3), we can represent the time derivative: odS odSM oSM odT qCP odT %q ¼ ; ð1:1:28Þ %q ot ot oT P ot T0 ot À Á M where Cp ¼ T0 oS oT p is specific heat at constant pressure (see Refs. [1, 7], Sect. 3, and Chap. 3). Correspondingly Eq. 25) is a famous equation for the heat conductivity (or a Fourier equation as mathematicians often call it). For the monochromatic temperature wave dT $ eÀixtþi~q~r we get: ix ¼ j 2 j 2 q or x ¼ Ài q : qCP qCP ð1:1:30Þ Thus we conclude that the spectrum of the temperature waves in a classical liquid is overdamped and quadratic in the wave-vector q.

2 Hydrodynamics of Rotating Superfluids 25 Fig. 8 a Rotating superfluid helium with large number of vortices for angular velocities XC1 ( X ( XC2. b The vortex circulations cancel each other inside the vortex region and enhance each other outside the vortex region. Thus the superfluid component mimics the solidstate rotation [22] of the same ‘‘charge’’ (same circulation) mimic solid-state rotation for superfluid component effectively performing macroscopic averaging (see [14, 15, 27–30]) over an area containing a large number of vortices (but still much smaller than a ~ ~ Â~ ~¼r container area pR2).

3) reads: ~ oS R q ~ þ rÁ ð1:1:26Þ ¼ ; ot T T ~ is a heat flux, j is heat conductivity, T is temperature, and R is where ~ q ¼ Àj rT dissipative function. 22). After linearization we get: odS j À DdT ¼ 0; ot T0 ð1:1:27Þ r; tÞ and where the entropy S and temperature T are given by: S ¼ S0 þ dSð~ T ¼ T0 þ dTð~ r; tÞ. 23) via the time odT derivative of the temperature ot : For almost incompressible fluid (which is a legitimate approximation in this case) dS ¼ qdSM , where SM is an entropy of a unit mass.

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