# Neutrality versus materiality: a thermodynamic theory of neutral surfaces

Tailleux, R. (2016) Neutrality versus materiality: a thermodynamic theory of neutral surfaces. Fluids, 1 (4). 32. ISSN 2311-5521

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To link to this item DOI: 10.3390/fluids1040032

## Abstract/Summary

In this paper, a theory for constructing quasi-neutral density variables $\gamma$ directly in thermodynamic space is formulated, which is based on minimising the absolute value of a purely thermodynamic quantity $J_n$. Physically, $J_n$ has a dual dynamic/thermodynamic interpretation as the quantity controlling the energy cost of adiabatic and isohaline parcel exchanges on material surfaces, as well as the dependence of in-situ density on spiciness, in a description of water masses based on $\gamma$, spiciness and pressure. Mathematically, minimising $|J_n|$ in thermodynamic space is showed to be equivalent to maximising neutrality in physical space. The physics of epineutral dispersion is also reviewed and discussed. It is argued, in particular, that epineutral dispersion is best understood as the aggregate effect of many individual non-neutral stirring events, so that it is only the net displacement aggregated over many events that is approximately neutral. This new view resolves an apparent paradox between the focus in neutral density theory on zero-buoyancy motions and the overwhelming evidence that lateral dispersion in the ocean is primarily caused by non-zero buoyancy processes such as tides, residual currents and sheared internal waves. The efficiency by which a physical process contributes to lateral dispersion can be characterised by its energy signature, with those processes releasing available potential energy (negative energy cost) being more efficient than purely neutral processes with zero energy cost. Although the latter mechanism occurs in the wedge of instability, its source of energy is not baroclinicity but the coupling between thermobaricity and density-compensated temperature/salinity anomalies. Such a mechanism, which can only exist in a salty ocean, is speculated to be important for dissipating spiciness anomalies and neutral helicity. The paper also discusses potential conceptual difficulties with the use of neutral rotated diffusion tensors in numerical ocean models, as well as with the construction of neutral density variables in physical space. It also emphasises the irreducible character of thermobaric forces in the ocean. These are argued to be the cause for adiabatic thermobaric dianeutral dispersion, and to forbid the existence of density surfaces along which fluid parcels can be exchanged without experiencing buoyancy forces, in contrast to what is assumed in the theory of neutral surfaces.

Item Type: Article Yes Interdisciplinary Research Centres (IDRCs) > Walker InstituteScience > School of Mathematical, Physical and Computational Sciences > Department of Meteorology 67066 MDPI