Optimized Cluster Expansions for Classical Fluids. III. Applications to Ionic Solutions and Simple Liquids

1972 ◽  
Vol 57 (7) ◽  
pp. 2626-2631 ◽  
Author(s):  
Hans C. Andersen ◽  
David Chandler ◽  
John D. Weeks
Keyword(s):  
Cluster Expansions ◽  
Ionic Solutions ◽  
Simple Liquids ◽  
Classical Fluids

THEORY OF IONIC SOLUTIONS

1984 ◽  
Vol 45 (C7) ◽  
pp. C7-97-C7-111 ◽  
Author(s):  
J. P. Hansen
Keyword(s):  
Ionic Solutions

scholarly journals Supersymmetric Cluster Expansions and Applications to Random Schrödinger Operators

2021 ◽  
Vol 24 (1) ◽  
Author(s):  
Luca Fresta
Keyword(s):  
Density Of States ◽  
Local Density ◽  
Schrödinger Operators ◽  
Random Schrödinger Operators ◽  
Schrodinger Operators ◽  
Local Density Of States ◽  
Weak Disorder ◽  
Cluster Expansions ◽  
Strong Disorder ◽  
Lifshitz Tail

AbstractWe study discrete random Schrödinger operators via the supersymmetric formalism. We develop a cluster expansion that converges at both strong and weak disorder. We prove the exponential decay of the disorder-averaged Green’s function and the smoothness of the local density of states either at weak disorder and at energies in proximity of the unperturbed spectrum or at strong disorder and at any energy. As an application, we establish Lifshitz-tail-type estimates for the local density of states and thus localization at weak disorder.

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