Negative specific heat and finite-size effects at the first-order transition

2001 ◽  
Vol 285 (5-6) ◽  
pp. 247-250 ◽  
Author(s):  
Smita Ota ◽  
Snehadri Bihari Ota
Keyword(s):  
Specific Heat ◽  
Size Effects ◽  
Finite Size ◽  
Order Transition ◽  
Finite Size Effects ◽  
First Order ◽  
Negative Specific Heat ◽  
First Order Transition

scholarly journals DYNAMICAL HETEROGENEITIES IN A TWO-DIMENSIONAL DRIVEN GLASSY MODEL: CURRENT FLUCTUATIONS AND FINITE SIZE EFFECTS

2012 ◽  
Vol 11 (03) ◽  
pp. 1242007 ◽  
Author(s):  
FRANCESCO TURCI ◽  
ESTELLE PITARD
Keyword(s):  
Size Effects ◽  
Large Deviation ◽  
Transport Model ◽  
Finite Size ◽  
Finite Size Effects ◽  
Deviation Function ◽  
First Order ◽  
Large Deviation Function ◽  
First Order Transition ◽  
Typical Length

In this article, we demonstrate that in a transport model of particles with kinetic constraints, long-lived spatial structures are responsible for the blocking dynamics and the decrease of the current at strong driving field. Coexistence between mobile and blocked regions can be anticipated by a first-order transition in the large deviation function for the current. By a study of the system under confinement, we are able to study finite-size effects and extract a typical length between mobile regions.

scholarly journals CRITICAL TEMPERATURE OF AN INTERACTING BOSE GAS IN A GENERIC POWER-LAW POTENTIAL

2002 ◽  
Vol 16 (16) ◽  
pp. 2185-2190 ◽  
Author(s):  
LUCA SALASNICH
Keyword(s):  
Critical Temperature ◽  
Power Law ◽  
Size Effects ◽  
Scattering Length ◽  
Analytical Formula ◽  
Finite Size ◽  
Bose Gas ◽  
Finite Size Effects ◽  
First Order ◽  
Power Law Exponent

We investigate the critical temperature of an interacting Bose gas confined in a trap described by a generic isotropic power-law potential. We compare the results with respect to the non-interacting case. In particular, we derive an analytical formula for the shift of the critical temperature holding to first order in the scattering length. We show that this shift scales as Nn/3(n+2), where N is the number of Bosons and n is the exponent of the power-law potential. Moreover, the sign of the shift critically depends on the power-law exponent n. Finally, we find that the shift of the critical temperature due to finite-size effects vanishes as N-2n/3(n+2).

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