Phase transitions for suspension flows

Godofredo Iommi; Thomas M Jordan

doi:10.1007/s00220-013-1681-6

Phase transitions for suspension flows

Godofredo Iommi, Thomas M Jordan

Research output: Contribution to journal › Article (Academic Journal) › peer-review

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Abstract

This paper is devoted to studying the thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function to be real analytic or to exhibit a phase transition. We also construct an example of a potential for which the pressure has countably many phase transitions

Original language	English
Pages (from-to)	475-498
Journal	Communications in Mathematical Physics
Volume	320
Issue number	2
Early online date	1 Feb 2013
DOIs	https://doi.org/10.1007/s00220-013-1681-6
Publication status	Published - Jun 2013

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title = "Phase transitions for suspension flows",

abstract = "This paper is devoted to studying the thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function to be real analytic or to exhibit a phase transition. We also construct an example of a potential for which the pressure has countably many phase transitions",

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AU - Iommi, Godofredo

AU - Jordan, Thomas M

PY - 2013/6

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N2 - This paper is devoted to studying the thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function to be real analytic or to exhibit a phase transition. We also construct an example of a potential for which the pressure has countably many phase transitions

AB - This paper is devoted to studying the thermodynamic formalism for suspension flows defined over countable alphabets. We are mostly interested in the regularity properties of the pressure function. We establish conditions for the pressure function to be real analytic or to exhibit a phase transition. We also construct an example of a potential for which the pressure has countably many phase transitions

U2 - 10.1007/s00220-013-1681-6

DO - 10.1007/s00220-013-1681-6

M3 - Article (Academic Journal)

VL - 320

SP - 475

EP - 498

JO - Communications in Mathematical Physics

JF - Communications in Mathematical Physics

SN - 0010-3616

IS - 2

ER -

Phase transitions for suspension flows

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