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

@article{Zia2002GettingMF, 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={2002}, 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…

## 65 Citations

### Role of trapping and crowding as sources of negative differential mobility.

- PhysicsPhysical review. E, Statistical, nonlinear, and soft matter physics
- 2015

This work addresses recent claims saying that crowding in an environment is likely to promote negative differential mobility of strongly pushed particles, and supports these points via simple examples.

### Multi species asymmetric simple exclusion process with impurity activated flips

- Physics
- 2022

We obtain an exact matrix product steady state for a class of multi species asymmetric simple exclusion process with impurities, under periodic boundary condition. Alongside the usual hopping…

### Macroscopic charge segregation in driven polyelectrolyte solutions.

- Materials ScienceSoft matter
- 2022

Understanding the behavior of charged complex fluids is crucial for a plethora of important industrial, technological, and medical applications. Here, using coarse-grained molecular dynamics…

### 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…

### Energy Flux Effect in the One-Dimensional Spin-1/2 XX Model of Magnetoelectric. Lagrange Multiplier Method

- PhysicsUkrainian Journal of Physics
- 2021

The Lagrange multiplier method is applied to study a nonequilibrium steady state with energy flux in the one-dimensional spin1 2 XX model of a magnetoelectric with the Katsura–Nagaosa– Balatsky…

### Ефект потоку енергії в одновимірній спін-1/2 XX моделі магнетоелектрика. Метод множника Лагранжа

- Ukrainian Journal of Physics
- 2021

Для дослiдження нерiвноважних стацiонарних станiв з потоком енергiї одновимiрної спiн-1/2 XX моделi магнетоелектрика з механiзмом Кацури–Наґаоси–Балацького при достатньо низьких температурах…

### ФIЗИКА МАГНIТНИХ ЯВИЩ I ФIЗИКА ФЕРОЇКIВ

- 2021

У цiй роботi педагогiчного характеру викладено порiвняльний аналiз двох загальних пiдходiв, що описують феромагнiтний фазовий перехiд у розбавлених магнiтних напiвпровiдниках (DMS), з точки зору…

### Death and resurrection of a current by disorder , interaction or activity

- Physics
- 2021

Because of disorder the current-field characteristic may show a first order phase transition as function of the field, at which the current jumps to zero when the driving exceeds a threshold. The…

### Anisotropic Diffusion in Driven Convection Arrays

- PhysicsEntropy
- 2021

It is shown that an external force produces huge excess peaks of the particle’s diffusion constant with a height that depends on the force orientation and intensity, and relates such a nonlinear response of the system to the advection properties of the lamination flow in the suspension fluid.

## References

SHOWING 1-10 OF 16 REFERENCES

### 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…

### 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…

### 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…

### Critical properties of a randomly driven diffusive system.

- PhysicsPhysical review letters
- 1991

A system of interacting particles, diffusing under the influence of both thermal noise and a random, external electric field which acts in a subspace of m dimensions is considered, finding the upper critical dimension to be 4-m and its behavior to fall outside the universality classes of the equilibrium Ising model and the usual driven diffusive system.

### Long-range correlations for conservative dynamics.

- Environmental SciencePhysical review. A, Atomic, molecular, and optical physics
- 1990

### 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…

### 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…

### 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…

### 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…