TY - JOUR
T1 - Critical behavior from Landau theory in nanothermodynamic equilibrium
AU - Chamberlin, Ralph
N1 - Funding Information:
I thank A.J. Leggett, T. Newman, and G.H. Wolf for several helpful suggestions. I am grateful to the Alexander von Humboldt Foundation for support of this work.
Copyright:
Copyright 2020 Elsevier B.V., All rights reserved.
PY - 2003/8/25
Y1 - 2003/8/25
N2 - Two modern thermostatistical techniques are used to treat classical Landau-like theories. A Ginzburg-Landau model is simplified using Kadanoff blocks that fluctuate independently, and the Landau energy is lowered using a nanothermodynamic ensemble with no constraints. Advantages of these techniques include eliminating explicit surface terms between real-space blocks, and minimizing the free energy to give the true thermal equilibrium. The theory yields non-uniform clustering, non-exponential relaxation, and non-classical critical scaling, similar to behavior found near the liquid-glass and ferromagnetic transitions. 2003 Elsevier B.V. All rights reserved.
AB - Two modern thermostatistical techniques are used to treat classical Landau-like theories. A Ginzburg-Landau model is simplified using Kadanoff blocks that fluctuate independently, and the Landau energy is lowered using a nanothermodynamic ensemble with no constraints. Advantages of these techniques include eliminating explicit surface terms between real-space blocks, and minimizing the free energy to give the true thermal equilibrium. The theory yields non-uniform clustering, non-exponential relaxation, and non-classical critical scaling, similar to behavior found near the liquid-glass and ferromagnetic transitions. 2003 Elsevier B.V. All rights reserved.
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U2 - 10.1016/S0375-9601(03)01038-7
DO - 10.1016/S0375-9601(03)01038-7
M3 - Article
AN - SCOPUS:17744421356
SN - 0375-9601
VL - 315
SP - 313
EP - 318
JO - Physics Letters, Section A: General, Atomic and Solid State Physics
JF - Physics Letters, Section A: General, Atomic and Solid State Physics
IS - 3-4
ER -