TY - CHAP
T1 - One-Dimensional Lattice Gases with Linear Interaction
AU - Pirjol, Dan
N1 - Publisher Copyright:
© 2022, The Author(s), under exclusive license to Springer Nature Switzerland AG.
PY - 2022
Y1 - 2022
N2 - This chapter gives an introduction to the statistical mechanics of lattice gases. The lattice gas with universal attractive interactions is used to illustrate the mean-field theory and the appearance of phase transitions. The 1D lattice gas with n sites and linear interaction potential in an external field εij=1n2|i-j|+1n2(i+j) is introduced and studied. The exact solution of this system is obtained in the isothermal-isobaric ensemble and shown to have a phase transition for non-zero external field strength x> 0. The properties of the system in the grand canonical ensemble are discussed.
AB - This chapter gives an introduction to the statistical mechanics of lattice gases. The lattice gas with universal attractive interactions is used to illustrate the mean-field theory and the appearance of phase transitions. The 1D lattice gas with n sites and linear interaction potential in an external field εij=1n2|i-j|+1n2(i+j) is introduced and studied. The exact solution of this system is obtained in the isothermal-isobaric ensemble and shown to have a phase transition for non-zero external field strength x> 0. The properties of the system in the grand canonical ensemble are discussed.
UR - http://www.scopus.com/inward/record.url?scp=85137554791&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=85137554791&partnerID=8YFLogxK
U2 - 10.1007/978-3-031-11143-3_4
DO - 10.1007/978-3-031-11143-3_4
M3 - Chapter
AN - SCOPUS:85137554791
T3 - SpringerBriefs in Applied Sciences and Technology
SP - 49
EP - 76
BT - SpringerBriefs in Applied Sciences and Technology
ER -