Lee-Yang zeros and large-deviation statistics of a molecular zipper

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Lee-Yang zeros and large-deviation statistics of a molecular zipper. / Deger, Aydin; Brandner, Kay; Flindt, Christian.

In: Physical Review E, Vol. 97, No. 1, 012115, 12.01.2018, p. 1-12.

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@article{b4000b0b3ff24cb7a228161ce2b34471,
title = "Lee-Yang zeros and large-deviation statistics of a molecular zipper",
abstract = "The complex zeros of partition functions were originally investigated by Lee and Yang to explain the behavior of condensing gases. Since then, Lee-Yang zeros have become a powerful tool to describe phase transitions in interacting systems. Today, Lee-Yang zeros are no longer just a theoretical concept; they have been determined in recent experiments. In one approach, the Lee-Yang zeros are extracted from the high cumulants of thermodynamic observables at finite size. Here we employ this method to investigate a phase transition in a molecular zipper. From the energy fluctuations in small zippers, we can predict the temperature at which a phase transition occurs in the thermodynamic limit. Even when the system does not undergo a sharp transition, the Lee-Yang zeros carry important information about the large-deviation statistics and its symmetry properties. Our work suggests an interesting duality between fluctuations in small systems and their phase behavior in the thermodynamic limit. These predictions may be tested in future experiments.",
author = "Aydin Deger and Kay Brandner and Christian Flindt",
year = "2018",
month = "1",
day = "12",
doi = "10.1103/PhysRevE.97.012115",
language = "English",
volume = "97",
pages = "1--12",
journal = "Physical Review E",
issn = "2470-0045",
publisher = "American Physical Society",
number = "1",

}

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TY - JOUR

T1 - Lee-Yang zeros and large-deviation statistics of a molecular zipper

AU - Deger, Aydin

AU - Brandner, Kay

AU - Flindt, Christian

PY - 2018/1/12

Y1 - 2018/1/12

N2 - The complex zeros of partition functions were originally investigated by Lee and Yang to explain the behavior of condensing gases. Since then, Lee-Yang zeros have become a powerful tool to describe phase transitions in interacting systems. Today, Lee-Yang zeros are no longer just a theoretical concept; they have been determined in recent experiments. In one approach, the Lee-Yang zeros are extracted from the high cumulants of thermodynamic observables at finite size. Here we employ this method to investigate a phase transition in a molecular zipper. From the energy fluctuations in small zippers, we can predict the temperature at which a phase transition occurs in the thermodynamic limit. Even when the system does not undergo a sharp transition, the Lee-Yang zeros carry important information about the large-deviation statistics and its symmetry properties. Our work suggests an interesting duality between fluctuations in small systems and their phase behavior in the thermodynamic limit. These predictions may be tested in future experiments.

AB - The complex zeros of partition functions were originally investigated by Lee and Yang to explain the behavior of condensing gases. Since then, Lee-Yang zeros have become a powerful tool to describe phase transitions in interacting systems. Today, Lee-Yang zeros are no longer just a theoretical concept; they have been determined in recent experiments. In one approach, the Lee-Yang zeros are extracted from the high cumulants of thermodynamic observables at finite size. Here we employ this method to investigate a phase transition in a molecular zipper. From the energy fluctuations in small zippers, we can predict the temperature at which a phase transition occurs in the thermodynamic limit. Even when the system does not undergo a sharp transition, the Lee-Yang zeros carry important information about the large-deviation statistics and its symmetry properties. Our work suggests an interesting duality between fluctuations in small systems and their phase behavior in the thermodynamic limit. These predictions may be tested in future experiments.

UR - http://www.scopus.com/inward/record.url?scp=85040729322&partnerID=8YFLogxK

U2 - 10.1103/PhysRevE.97.012115

DO - 10.1103/PhysRevE.97.012115

M3 - Article

VL - 97

SP - 1

EP - 12

JO - Physical Review E

JF - Physical Review E

SN - 2470-0045

IS - 1

M1 - 012115

ER -

ID: 17374371