Two neo4j containers on the same local network without sharing data.

docker-compose.yml

# based on @spacecowboy at https://github.com/neo4j/docker-neo4j/issues/34
version: '2'
services:

  neo4j:
    image: neo4j
    ports:
      - "7474:7474"
    networks:
      - basic-lan
    environment:
      - NEO4J_AUTH=none

  neo4j-test:
    image: neo4j
    ports:
      - "7475:7474"
    networks:
      - basic-lan
    environment:
      - NEO4J_AUTH=none

  web:
    image: debian
    networks:
      - basic-lan

networks:
  basic-lan:
    ipam:
      config:
        - subnet: 192.168.37.0/24
          ip-range: 192.168.37.0/24