We present a simple one-dimensional Ising-type spin system on which we define a completely asymmetric Markovian single spin-flip dynamics. We study the system at a very low, yet nonzero, temperature, and we show that for free boundary conditions the Gibbs measure is stationary for such dynamics, while introducing in a single site a condition the stationary measure changes drastically, with macroscopical effects. We achieve this result defining an absolutely convergent series expansion of the stationary measure around the zero temperature system. Interesting combinatorial identities are involved in the proofs.

Procacci, A., Scoppola, B., Scoppola, E. (2018). Effects of Boundary Conditions on Irreversible Dynamics. ANNALES HENRI POINCARE', 19(2), 443-462 [10.1007/s00023-017-0627-5].

Effects of Boundary Conditions on Irreversible Dynamics

Scoppola B.;
2018-01-01

Abstract

We present a simple one-dimensional Ising-type spin system on which we define a completely asymmetric Markovian single spin-flip dynamics. We study the system at a very low, yet nonzero, temperature, and we show that for free boundary conditions the Gibbs measure is stationary for such dynamics, while introducing in a single site a condition the stationary measure changes drastically, with macroscopical effects. We achieve this result defining an absolutely convergent series expansion of the stationary measure around the zero temperature system. Interesting combinatorial identities are involved in the proofs.
2018
Pubblicato
Rilevanza internazionale
Articolo
Esperti anonimi
Settore MAT/07 - FISICA MATEMATICA
English
Procacci, A., Scoppola, B., Scoppola, E. (2018). Effects of Boundary Conditions on Irreversible Dynamics. ANNALES HENRI POINCARE', 19(2), 443-462 [10.1007/s00023-017-0627-5].
Procacci, A; Scoppola, B; Scoppola, E
Articolo su rivista
File in questo prodotto:
File Dimensione Formato  
pss2.pdf

accesso aperto

Tipologia: Documento in Pre-print
Licenza: Copyright dell'editore
Dimensione 191.9 kB
Formato Adobe PDF
191.9 kB Adobe PDF Visualizza/Apri

I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.

Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/2108/246309
Citazioni
  • ???jsp.display-item.citation.pmc??? ND
  • Scopus 2
  • ???jsp.display-item.citation.isi??? 2
social impact