scholarly journals Adiabatic theorem in the thermodynamic limit: Systems with a uniform gap

2022 ◽  
Vol 63 (1) ◽  
pp. 011901
Author(s):  
Joscha Henheik ◽  
Stefan Teufel
Keyword(s):  
Thermodynamic Limit ◽  
Adiabatic Theorem

scholarly journals Persistence of the spectral gap for the Landau–Pekar equations

2021 ◽  
Vol 111 (1) ◽  
Author(s):  
Dario Feliciangeli ◽  
Simone Rademacher ◽  
Robert Seiringer
Keyword(s):  
Initial Data ◽  
Spectral Gap ◽  
Effective Hamiltonian ◽  
Adiabatic Theorem ◽  
Strongly Coupled

AbstractThe Landau–Pekar equations describe the dynamics of a strongly coupled polaron. Here, we provide a class of initial data for which the associated effective Hamiltonian has a uniform spectral gap for all times. For such initial data, this allows us to extend the results on the adiabatic theorem for the Landau–Pekar equations and their derivation from the Fröhlich model obtained in previous works to larger times.

Thermodynamic limit to light trapping in thin planar structures

1997 ◽  
Vol 14 (11) ◽  
pp. 3001 ◽  
Author(s):  
Howard R. Stuart ◽  
Dennis G. Hall
Keyword(s):  
Thermodynamic Limit ◽  
Light Trapping ◽  
Planar Structures

scholarly journals Trapped bosons, thermodynamic limit, and condensation: A study in the framework of resolvent algebras

2021 ◽  
Vol 62 (4) ◽  
pp. 041903
Author(s):  
Dorothea Bahns ◽  
Detlev Buchholz
Keyword(s):  
Thermodynamic Limit ◽  
Trapped Bosons

What good is the thermodynamic limit?

2004 ◽  
Vol 72 (1) ◽  
pp. 25-29 ◽  
Author(s):  
Daniel F. Styer
Keyword(s):  
Thermodynamic Limit

scholarly journals Thermodynamic limit of correlation functions in a system of gravitating fermions

1976 ◽  
Vol 48 (3) ◽  
pp. 207-213 ◽  
Author(s):  
Bernhard Baumgartner
Keyword(s):  
Thermodynamic Limit ◽  
Correlation Functions

scholarly journals Ground state entropy of Potts antiferromagnets and the approach to the two-dimensional thermodynamic limit

1998 ◽  
Vol 58 (4) ◽  
pp. 4332-4339 ◽  
Author(s):  
Robert Shrock ◽  
Shan-Ho Tsai
Keyword(s):  
Thermodynamic Limit ◽  
Ground State ◽  
Two Dimensional ◽  
State Entropy ◽  
Ground State Entropy

METASTABLE STATES IN THE HOPFIELD MODEL

1990 ◽  
Vol 04 (01) ◽  
pp. 143-150 ◽  
Author(s):  
CLAUDIO PROCESI ◽  
BRUNELLO TIROZZI
Keyword(s):  
Free Energy ◽  
Finite Number ◽  
Thermodynamic Limit ◽  
Metastable States ◽  
Hopfield Model ◽  
Zero Temperature

We describe the properties of the free energy of the Hopfield model with a finite number of patterns and describe its dynamic at zero temperature in the space of overlaps in the thermodynamic limit.

Thermodynamic limit and central limit theorem for point random fields in non-ergodic case

1988 ◽  
Vol 26 (1) ◽  
pp. 1-15
Author(s):  
Krystyna Parczyk ◽  
Tomasz Masłowski
Keyword(s):  
Central Limit Theorem ◽  
Limit Theorem ◽  
Central Limit ◽  
Thermodynamic Limit ◽  
Random Fields
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