Correlation function of an anisotropic fluid of hard rods to first order in the density

1979 ◽  
Vol 71 (1) ◽  
pp. 104-106 ◽  
Author(s):  
A. Wulf
Keyword(s):  
Correlation Function ◽  
Anisotropic Fluid ◽  
First Order ◽  
Hard Rods

SUSCEPTIBILITY SINGULARITIES AT FIRST-ORDER PHASE TRANSITIONS

1992 ◽  
Vol 03 (05) ◽  
pp. 1071-1082 ◽  
Author(s):  
D.B. ABRAHAM ◽  
P.J. UPTON
Keyword(s):  
Magnetic Field ◽  
Correlation Function ◽  
Phase Transitions ◽  
Thermodynamic Functions ◽  
Infinite Number ◽  
Limit Point ◽  
Correlation Functions ◽  
Negative Real Axis ◽  
First Order ◽  
First Order Phase

Problems associated with analyticity of thermodynamic functions close to first-order phase transitions are briefly reviewed. The bubble model for correlation functions is then applied to planar Ising-like models at subcritical temperatures (T<Tc) with a bulk magnetic field h. The fluctuation sum is used to calculate the susceptibility χ(h) from the bubble correlation function. We show that χ(h), calculated this way, must contain an essential singularity at h=0 i.e. at the first-order phase boundary. This has important implications to metastability, where we demonstrate that if the ensemble is restricted such that the magnetization stays positive when h goes negative, χ(h) has an infinite number of poles along the negative real axis with a limit-point at h=0. For an unrestricted ensemble, a Yang-Lee circle theorem is derived.

scholarly journals Multi-Particle Interference in an Electronic Mach–Zehnder Interferometer

Entropy ◽  
2021 ◽  
Vol 23 (6) ◽  
pp. 736
Author(s):  
Janne Kotilahti ◽  
Pablo Burset ◽  
Michael Moskalets ◽  
Christian Flindt
Keyword(s):  
Correlation Function ◽  
Diffraction Pattern ◽  
Charge Carriers ◽  
Zehnder Interferometer ◽  
Particle State ◽  
Electron Sources ◽  
First Order ◽  
Quantum Properties ◽  
Mach Zehnder Interferometer

The development of dynamic single-electron sources has made it possible to observe and manipulate the quantum properties of individual charge carriers in mesoscopic circuits. Here, we investigate multi-particle effects in an electronic Mach–Zehnder interferometer driven by a series of voltage pulses. To this end, we employ a Floquet scattering formalism to evaluate the interference current and the visibility in the outputs of the interferometer. An injected multi-particle state can be described by its first-order correlation function, which we decompose into a sum of elementary correlation functions that each represent a single particle. Each particle in the pulse contributes independently to the interference current, while the visibility (given by the maximal interference current) exhibits a Fraunhofer-like diffraction pattern caused by the multi-particle interference between different particles in the pulse. For a sequence of multi-particle pulses, the visibility resembles the diffraction pattern from a grid, with the role of the grid and the spacing between the slits being played by the pulses and the time delay between them. Our findings may be observed in future experiments by injecting multi-particle pulses into a Mach–Zehnder interferometer.

scholarly journals Mirror-assisted backscattering interferometry to measure the first-order correlation function of the light emitted by quantum scatterers

2021 ◽  
Vol 104 (5) ◽  
Author(s):  
P. G. S. Dias ◽  
M. Frometa ◽  
P. H. N. Magnani ◽  
K. R. B. Theophilo ◽  
M. Hugbart ◽  
...  
Keyword(s):  
Correlation Function ◽  
First Order ◽  
Backscattering Interferometry

The Clausius-Mossotti relation for anisotropic molecular fluids

1981 ◽  
Vol 59 (3) ◽  
pp. 375-377 ◽  
Author(s):  
P. Palffy-Muhoray ◽  
D. A. Balzarini
Keyword(s):  
Correlation Function ◽  
Liquid Crystals ◽  
Nematic Liquid Crystals ◽  
Dipole Field ◽  
Anisotropic Fluid ◽  
Particle Correlation ◽  
Molecular Fluids ◽  
Molecular Distribution

It is shown that in the interior of a uniformly polarized homogeneous anisotropic fluid there exists a family of similar surfaces, determined by the two-particle correlation function, having the property that the dipole field at the origin due to molecules within these surfaces is zero. The resulting Clausius–Mossotti relation contains a parameter, ηαβ, which is a measure of the anisotropy of the molecular distribution. These results are applicable to nematic liquid crystals.

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