scholarly journals Mean Field Potential for Non-Equilibrium Phase Space and Its Effect on Heavy-Ion Reaction

1998 ◽  
Vol 99 (6) ◽  
pp. 993-1000
Author(s):  
N. Ohtsuka ◽  
A. Faessler
Keyword(s):  
Phase Space ◽  
Equilibrium Phase ◽  
Mean Field ◽  
Field Potential ◽  
Heavy Ion ◽  
Mean Field Potential ◽  
Non Equilibrium

scholarly journals Response theory and phase transitions for the thermodynamic limit of interacting identical systems

2020 ◽  
Vol 476 (2244) ◽  
pp. 20200688
Author(s):  
Valerio Lucarini ◽  
Grigorios A. Pavliotis ◽  
Niccolò Zagli
Keyword(s):  
Phase Transitions ◽  
Thermodynamic Limit ◽  
Linear Response ◽  
Equilibrium Phase ◽  
Mean Field ◽  
Critical Transitions ◽  
Autocorrelation Time ◽  
The Common ◽  
Fokker Planck Equations ◽  
Non Equilibrium

We study the response to perturbations in the thermodynamic limit of a network of coupled identical agents undergoing a stochastic evolution which, in general, describes non-equilibrium conditions. All systems are nudged towards the common centre of mass. We derive Kramers–Kronig relations and sum rules for the linear susceptibilities obtained through mean field Fokker–Planck equations and then propose corrections relevant for the macroscopic case, which incorporates in a self-consistent way the effect of the mutual interaction between the systems. Such an interaction creates a memory effect. We are able to derive conditions determining the occurrence of phase transitions specifically due to system-to-system interactions. Such phase transitions exist in the thermodynamic limit and are associated with the divergence of the linear response but are not accompanied by the divergence in the integrated autocorrelation time for a suitably defined observable. We clarify that such endogenous phase transitions are fundamentally different from other pathologies in the linear response that can be framed in the context of critical transitions. Finally, we show how our results can elucidate the properties of the Desai–Zwanzig model and of the Bonilla–Casado–Morillo model, which feature paradigmatic equilibrium and non-equilibrium phase transitions, respectively.

Mean-field potential calculations of high-pressure equation of state for BeO

2008 ◽  
Vol 17 (4) ◽  
pp. 1341-1348 ◽  
Author(s):  
Zhang Qi-Li ◽  
Zhang Ping ◽  
Song Hai-Feng ◽  
Liu Hai-Feng
Keyword(s):  
High Pressure ◽  
Equation Of State ◽  
Mean Field ◽  
Field Potential ◽  
Pressure Equation ◽  
Mean Field Potential

scholarly journals Analytically solvable mean-field potential for stable and exotic nuclei

1997 ◽  
Vol 415 (1) ◽  
pp. 1-7 ◽  
Author(s):  
M.V. Stoitsov ◽  
S.S. Dimitrova ◽  
S. Pittel ◽  
P. Van Isacker ◽  
A. Frank
Keyword(s):  
Mean Field ◽  
Field Potential ◽  
Exotic Nuclei ◽  
Mean Field Potential

Reduction of shock-wave data with mean-field potential approach

2002 ◽  
Vol 92 (11) ◽  
pp. 6616-6620 ◽  
Author(s):  
Yi Wang ◽  
Rajeev Ahuja ◽  
Börje Johansson
Keyword(s):  
Shock Wave ◽  
Mean Field ◽  
Field Potential ◽  
Potential Approach ◽  
Wave Data ◽  
Mean Field Potential
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