# Getting more from pushing less: Negative specific heat and conductivity in nonequilibrium steady states

@article{Zia2001GettingMF, title={Getting more from pushing less: Negative specific heat and conductivity in nonequilibrium steady states}, author={Royce K. P. Zia and Eigil Praestgaard and Ole G. Mouritsen}, journal={American Journal of Physics}, year={2001}, volume={70}, pages={384-392} }

For students familiar with equilibrium statistical mechanics, the notion of a positive specific heat, being intimately related to the idea of stability, is both intuitively reasonable and mathematically provable. However, for systems in nonequilibrium stationary states, coupled to more than one energy reservoir, a negative specific heat is entirely possible. We present a minimal system that displays this phenomenon. For a system in contact with two thermal baths at different temperatures, the…

## 66 Citations

### Temperature response of heat conducting models

- Physics
- 2016

In the realm of statistical physics, a system can be studied for its response to an external stimulus; the equilibrium fluctation-dissipation theorem relates this response to the correlation at…

### Thermal rectification and negative differential thermal resistance in a driven two segment classical Heisenberg chain

- PhysicsJournal of physics. Condensed matter : an Institute of Physics journal
- 2013

It is demonstrated that by properly tuning the parameters thermal rectification can be achieved-the system behaves as a good conductor of heat along one direction but becomes a bad conductor when the thermal gradient is reversed, and crucially depends on nonlinearity and spatial asymmetry.

### Thermally driven classical Heisenberg chain with a spatially varying magnetic field: thermal rectification and negative differential thermal resistance

- Physics
- 2015

Thermal rectification and negative differential thermal resistance are two important features that have direct technological relevance. Here, we study the classical one-dimensional Heisenberg model,…

### Energetics and performance of a microscopic heat engine based on exact calculations of work and heat distributions

- Physics
- 2010

We investigate a microscopic motor based on an externally controlled two-level system. One cycle of the motor operation consists of two strokes. Within each stroke, the two-level system is in contact…

### Master equation approach to the non-equilibrium negative specific heat at the glass transition

- Physics
- 2005

Although glasses are disordered and complex systems, we show that important characteristics of the glass transition, such as a negative measured specific heat in the transition region, can be…

### Non-Dissipative Effects in Nonequilibrium Systems

- Physics
- 2017

Time-symmetric kinetic quantities constitute the non-dissipative part of nonequilibrium physics. That frenetic contribution counts among features of nonequilibrium that have traditionally not been…

### Supercooling of phase change: A new modeling formulation using apparent specific heat capacity

- Engineering
- 2020

### Spectral fingerprints of nonequilibrium dynamics: The case of a Brownian gyrator.

- Medicine, PhysicsPhysical review. E
- 2022

The same system can exhibit a completely different dynamical behavior when it evolves in equilibrium conditions or when it is driven out-of-equilibrium by, e.g., connecting some of its components to…

### Rate dependence of current and fluctuations in jump models with negative differential mobility

- PhysicsPhysica A: Statistical Mechanics and its Applications
- 2020

### Phase transition of a spin-lattice-gas model with two timescales and two temperatures.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2008

The phase transition of a nonequilibrium statistical-mechanical model, in which two degrees of freedom with different time scales separated from each other touch their own heat bath, is studied and finds that the negative latent heat appears in a parameter region of the model, irrespective of the order of their time scale.

## References

SHOWING 1-10 OF 16 REFERENCES

### Nonequilibrium steady states of stochastic lattice gas models of fast ionic conductors

- Physics
- 1984

We investigate theoretically and via computer simulation the stationary nonequilibrium states of a stochastic lattice gas under the influence of a uniform external fieldE. The effect of the field is…

### A lattice gas coupled to two thermal reservoirs: Monte Carlo and field theoretic studies

- Physics
- 2000

Abstract:We investigate the collective behavior of an Ising lattice gas, driven to non-equilibrium steady states by being coupled to two thermal baths. Monte Carlo methods are applied to a…

### Phase transitions and steady-state microstructures in a two-temperature lattice-gas model with mobile active impurities

- Physics, Materials SciencePhysical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics
- 2000

The nonequilibrium, steady-state phase transitions and the structure of the different phases of a two-dimensional system with two thermodynamic temperatures are studied via a simple lattice-gas model…

### Phase transitions in stationary nonequilibrium states of model lattice systems

- Physics
- 1983

We investigated the stationary nonequilibrium states of a lattice gas of interacting particles subject to an external field $\stackrel{\ensuremath{\rightarrow}}{E}$. The dynamics of the system are…

### Phase transitions and critical phenomena

- PhysicsComputing in Science & Engineering
- 1999

The examination of phase transitions and critical phenomena has dominated statistical physics for the latter half of this century--there is a great theoretical challenge in solving special…

### Non-equilibrium physics: Freezing by heating

- PhysicsNature
- 2000

An unexpected transition from a fluid state to a frozen state can be achieved in a non-equilibrium system by increasing the level of noise (or temperature) of the system. Such transitions may apply…

### Equation of state calculations by fast computing machines

- Physics
- 1953

A general method, suitable for fast computing machines, for investigating such properties as equations of state for substances consisting of interacting individual molecules is described. The method…

### Finite-Size Scaling in a Two-Temperature Lattice Gas: A Monte Carlo Study of Critical Properties

- Physics
- 1994

We present computer studies of the critical properties of an Ising lattice gas driven to a non-equilibrium steady state by coupling to two temperature baths. Anisotropic scaling, a dominant feature…