scholarly journals Phase transitions and sharp-interface limits for the 1d-elasticity system with non-local energy

2005 ◽  
pp. 107-129 ◽  
Author(s):  
C. Rohde
2011 ◽  
Vol 19 (16) ◽  
pp. 15281 ◽  
Author(s):  
Winston Frias ◽  
Andrei Smolyakov ◽  
Akira Hirose

2019 ◽  
Vol 489 (3) ◽  
pp. 4217-4232 ◽  
Author(s):  
Florian List ◽  
Nikolas Iwanus ◽  
Pascal J Elahi ◽  
Geraint F Lewis

ABSTRACT We present a new self-consistent method for incorporating Dark Matter Annihilation Feedback (DMAF) in cosmological N-body simulations. The power generated by DMAF is evaluated at each dark matter (DM) particle which allows for flexible energy injection into the surrounding gas based on the specific DM annihilation model under consideration. Adaptive, individual time-steps for gas and DM particles are supported and a new time-step limiter, derived from the propagation of a Sedov–Taylor blast wave, is introduced. We compare this donor-based approach with a receiver-based approach used in recent studies and illustrate the differences by means of a toy example. Furthermore, we consider an isolated halo and a cosmological simulation and show that for these realistic cases, both methods agree well with each other. The extension of our implementation to scenarios such as non-local energy injection, velocity-dependent annihilation cross-sections, and DM decay is straightforward.


2005 ◽  
Vol 92 (6) ◽  
pp. 367-379 ◽  
Author(s):  
Robert Kozma ◽  
Marko Puljic ◽  
Paul Balister ◽  
Bela Bollobás ◽  
Walter J. Freeman

2020 ◽  
Vol 3 (1) ◽  
Author(s):  
Sergio Enrique Tapias Arze ◽  
Pieter W. Claeys ◽  
Isaac Perez Castillo ◽  
Jean-Sébastien Caux

We consider the dynamics of an XY spin chain subjected to an external transverse field which is periodically quenched between two values. By deriving an exact expression of the Floquet Hamiltonian for this out-of-equilibrium protocol with arbitrary driving frequencies, we show how, after an unfolding of the Floquet spectrum, the parameter space of the system is characterized by alternations between local and non-local regions, corresponding respectively to the absence and presence of Floquet resonances. The boundary lines between regions are obtained analytically from avoided crossings in the Floquet quasi-energies and are observable as phase transitions in the synchronized state. The transient behaviour of dynamical averages of local observables similarly undergoes a transition, showing either a rapid convergence towards the synchronized state in the local regime, or a rather slow one exhibiting persistent oscillations in the non-local regime, where explicit decay coefficients are presented.


1980 ◽  
Vol 101 (2) ◽  
pp. 713-721 ◽  
Author(s):  
G. Herzer ◽  
M. Fähnle ◽  
T. Egami ◽  
H. Kronmüller
Keyword(s):  

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