scholarly journals How Low is the Thermodynamical Limit?

2004 ◽  
pp. 569-576
Author(s):  
Tamás S. Biró ◽  
Gábor Purcsel ◽  
Berndt Müller
Keyword(s):  
Thermodynamical Limit

A REMARK CONCERNING THE THERMODYNAMICAL LIMIT OF THE LYAPUNOV SPECTRUM

1996 ◽  
Vol 06 (06) ◽  
pp. 1137-1142 ◽  
Author(s):  
Ya. G. SINAI
Keyword(s):  
Dynamical Systems ◽  
Short Range ◽  
Limiting Distribution ◽  
Lyapunov Spectrum ◽  
Short Range Interaction ◽  
Range Interaction ◽  
Limit Transition ◽  
Thermodynamical Limit ◽  
Definition Of ◽  
General Conditions

We consider dynamical systems of N particles confined in domains of volume V with pair-wise short range interaction. We propose a new definition of the limiting distribution of Lyapunov Spectrum according to which the thermodynamical limit transition is taken before the limit t→∞. The main result proven under rather general conditions gives the existence of this modified limiting distribution of Lyapunov Spectrum.

The Toda chain in the thermodynamical limit

1985 ◽  
Vol 40 (1) ◽  
pp. 213-214
Author(s):  
A A Dzhalilov
Keyword(s):  
Toda Chain ◽  
Thermodynamical Limit

scholarly journals ON THE CONSTRUCTION OF CORRELATION FUNCTIONS FOR THE INTEGRABLE SUPERSYMMETRIC FERMION MODELS

2006 ◽  
Vol 20 (05) ◽  
pp. 505-549 ◽  
Author(s):  
SHAO-YOU ZHAO ◽  
WEN-LI YANG ◽  
YAO-ZHONG ZHANG
Keyword(s):  
Correlation Function ◽  
Physical Properties ◽  
Correlation Functions ◽  
Recent Progress ◽  
Integrable Models ◽  
Thermodynamical Limit ◽  
Point Correlation ◽  
Point Correlation Function ◽  
The Creation ◽  
Scalar Products

We review the recent progress on the construction of the determinant representations of the correlation functions for the integrable supersymmetric fermion models. The factorizing F-matrices (or the so-called F-basis) play an important role in the construction. In the F-basis, the creation (and the annihilation) operators and the Bethe states of the integrable models are given in completely symmetric forms. This leads to the determinant representations of the scalar products of the Bethe states for the models. Based on the scalar products, the determinant representations of the correlation functions may be obtained. As an example, in this review, we give the determinant representations of the two-point correlation function for the Uq(gl(2|1)) (i.e. q-deformed) supersymmetric t-J model. The determinant representations are useful for analyzing physical properties of the integrable models in the thermodynamical limit.

A chip-scale sub-μg/Hz1/2 optomechanical DC accelerometer at the thermodynamical limit

2016 ◽  
Author(s):  
Jaime Gonzalo Flor Flores ◽  
Yongjun Huang ◽  
Ying Li ◽  
Ziqiang Cai ◽  
Vito Iaia ◽  
...  
Keyword(s):  
Thermodynamical Limit
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