PMID: 11909170Mar 23, 2002Paper

Exact result on topology and phase transitions at any finite N

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L CasettiM Pettini

Abstract

We study analytically the topology of a family of submanifolds of the configuration space of the mean-field XY model, computing also a topological invariant (the Euler characteristic). We prove that a particular topological change of these submanifolds is connected to the phase transition of this system, and exists also at finite N. The present result is the first analytic proof that a phase transition has a topological origin and provides a key to a possible better understanding of the origin of phase transitions at their deepest level, as well as to a possible definition of phase transitions at finite N.

References

Sep 1, 1995·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M Antoni, S Ruffo
Oct 6, 2000·Physical Review Letters·R FranzosiL Spinelli
Oct 14, 2000·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·M Cerruti-SolaM Pettini
Jan 3, 2001·Physical Review Letters·L AngelaniF Sciortino
Apr 24, 2002·Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics·R FranzosiM Pettini

❮ Previous
Next ❯

Citations

May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Luca AngelaniFrancesco Zamponi
May 21, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Francisco A TamaritCelia Anteneodo
Dec 31, 2005·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ingo Hahn, Michael Kastner
Aug 16, 2006·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Stefan Hilbert, Jörn Dunkel
Mar 10, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Gunnar CarlssonJeremy Mason
Sep 26, 2012·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Dhagash MehtaMichael Kastner
Nov 13, 2009·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·F A N Santos, M D Coutinho-Filho
Nov 5, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·D A GaraninA Scala
Aug 25, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·Ana C Ribeiro Teixeira, Daniel A Stariolo
Dec 17, 2004·Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics·A AndronicoF Zamponi

❮ Previous
Next ❯

Trending Feeds

COVID-19

Coronaviruses encompass a large family of viruses that cause the common cold as well as more serious diseases, such as the ongoing outbreak of coronavirus disease 2019 (COVID-19; formally known as 2019-nCoV). Coronaviruses can spread from animals to humans; symptoms include fever, cough, shortness of breath, and breathing difficulties; in more severe cases, infection can lead to death. This feed covers recent research on COVID-19.

Blastomycosis

Blastomycosis fungal infections spread through inhaling Blastomyces dermatitidis spores. Discover the latest research on blastomycosis fungal infections here.

Nuclear Pore Complex in ALS/FTD

Alterations in nucleocytoplasmic transport, controlled by the nuclear pore complex, may be involved in the pathomechanism underlying multiple neurodegenerative diseases including Amyotrophic Lateral Sclerosis and Frontotemporal Dementia. Here is the latest research on the nuclear pore complex in ALS and FTD.

Applications of Molecular Barcoding

The concept of molecular barcoding is that each original DNA or RNA molecule is attached to a unique sequence barcode. Sequence reads having different barcodes represent different original molecules, while sequence reads having the same barcode are results of PCR duplication from one original molecule. Discover the latest research on molecular barcoding here.

Chronic Fatigue Syndrome

Chronic fatigue syndrome is a disease characterized by unexplained disabling fatigue; the pathology of which is incompletely understood. Discover the latest research on chronic fatigue syndrome here.

Evolution of Pluripotency

Pluripotency refers to the ability of a cell to develop into three primary germ cell layers of the embryo. This feed focuses on the mechanisms that underlie the evolution of pluripotency. Here is the latest research.

Position Effect Variegation

Position Effect Variagation occurs when a gene is inactivated due to its positioning near heterochromatic regions within a chromosome. Discover the latest research on Position Effect Variagation here.

STING Receptor Agonists

Stimulator of IFN genes (STING) are a group of transmembrane proteins that are involved in the induction of type I interferon that is important in the innate immune response. The stimulation of STING has been an active area of research in the treatment of cancer and infectious diseases. Here is the latest research on STING receptor agonists.

Microbicide

Microbicides are products that can be applied to vaginal or rectal mucosal surfaces with the goal of preventing, or at least significantly reducing, the transmission of sexually transmitted infections. Here is the latest research on microbicides.

Related Papers

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
L AngelaniFrancesco Zamponi
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
Ana C Ribeiro Teixeira, Daniel A Stariolo
Physical Review. a
V L Berdichevsky, M V Alberti
Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
I H Umirzakov
© 2022 Meta ULC. All rights reserved